%%%%%
%%  A
%%%%%

@article {adam71,
    AUTHOR = {Adamjan, V. M. and Arov, D. Z. and Kre{\u\i}n, M. G.},
     TITLE = {Analytic properties of the {S}chmidt pairs of a {H}ankel
              operator and the generalized {S}chur-{T}akagi problem},
   JOURNAL = {Mat. Sb. (N.S.)},
    VOLUME = {86(128)},
      YEAR = {1971},
     PAGES = {34--75},
   MRCLASS = {47A65},
  MRNUMBER = {45 \#7505},
MRREVIEWER = {N. K. Nikolskii},
}




@article {adler93,
    AUTHOR = {Adler, M. and Haine, L. and van Moerbeke, P.},
     TITLE = {Limit matrices for the {T}oda flow and periodic flags for loop
              groups},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {296},
      YEAR = {1993},
    NUMBER = {1},
     PAGES = {1--33},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {},
  MRNUMBER = {94e:58049},
MRREVIEWER = {Malcolm Adams},
}

@article{alef94,
 AUTHOR = {Alefeld, G. and Gienger, A. and Mayer, G.},
     TITLE = {Numerical validation for an inverse matrix eigenvalue problem},
      NOTE = {International Symposium on Scientific Computing, Computer
              Arithmetic and Validated Numerics (Vienna, 1993)},
   JOURNAL = {Computing},
  FJOURNAL = {Computing. Archives for Scientific Computing},
    VOLUME = {53},
      YEAR = {1994},
    NUMBER = {3-4},
     PAGES = {311--322},
      ISSN = {0010-485X},
     CODEN = {CMPTA2},
   MRCLASS = {65F15},
  MRNUMBER = {95i:65057},
}


@article {alex78,
 AUTHOR = {Alexander, J. C.},
     TITLE = {The additive inverse eigenvalue problem and topological
              degree},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {70},
      YEAR = {1978},
    NUMBER = {1},
     PAGES = {5--7},
      ISSN = {0002-9939},
     CODEN = {PAMYAR},
   MRCLASS = {55M25 (15A18)},
  MRNUMBER = {80a:55002},
MRREVIEWER = {T. Y. Li},
}

@incollection {ammar86,
    author = {Ammar, Gregory S.},
     title = {Inverse eigenvalue methods and flag manifolds},
 BOOKtitle = {Computational and combinatorial methods in systems theory
              (Stockholm, 1985)},
     pages = {177--184},
 PUBLISHER = {North-Holland},
   ADDRESS = {Amsterdam},
      year = {1986},
   MRCLASS = {93B60},
  mrnumber = {924 005}
}

@incollection {amma91,
    AUTHOR = {Ammar, Gregory and Gragg, William and Reichel, Lothar},
     TITLE = {Constructing a unitary {H}essenberg matrix from spectral data},
 BOOKTITLE = {Numerical linear algebra, digital signal processing and
              parallel algorithms (Leuven, 1988)},
     PAGES = {385--395},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1991},
   MRCLASS = {15A18 (65F15)},
  MRNUMBER = {92j:15003},
}

@article {amma95,
 AUTHOR = {Ammar, Gregory S. and He, Chun Yang},
     TITLE = {On an inverse eigenvalue problem for unitary {H}essenberg
              matrices},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {218},
      YEAR = {1995},
     PAGES = {263--271},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15A18},
  MRNUMBER = {96e:15008},
MRREVIEWER = {Mei-Qin Chen},
}

@book {ames92,
    AUTHOR = {Ames, William F.},
     TITLE = {Numerical methods for partial differential equations},
   EDITION = {Third},
 PUBLISHER = {Academic Press Inc.},
   ADDRESS = {Boston, MA},
      YEAR = {1992},
     PAGES = {xvi+451},
      ISBN = {0-12-056761-X},
   MRCLASS = {65-01},
  MRNUMBER = {93g:65003},
MRREVIEWER = {Ian Gladwell},
}



@article {ande88a,
    author = {Andersson, Lars-Erik},
     title = {Inverse eigenvalue problems with discontinuous coefficients},
   journal = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal of Inverse
              Problems, Inverse Methods and Computerized Inversion of Data},
    volume = {4},
      year = {1988},
    number = {2},
     pages = {353--397},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {34A55 (34B25)},
  mrnumber = {89g:34015},
MRREVIEWER = {Jan Bochenek}
}

@article {ande88b,
    author = {Andersson, Lars-Erik},
     title = {Inverse eigenvalue problems for a {S}turm-{L}iouville equation
              in impedance form},
   journal = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal of Inverse
              Problems, Inverse Methods and Computerized Inversion of Data},
    volume = {4},
      year = {1988},
    number = {4},
     pages = {929--971},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {34A55 (34B25 47E05)},
  mrnumber = {90g:34010}
}

@incollection {ande90,
    author = {Andersson, L.-E.},
     title = {Algorithms for solving inverse eigenvalue problems for
              {S}turm-{L}iouville equations},
 BOOKtitle = {Inverse methods in action (Montpellier, 1989)},
     pages = {138--145},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      year = {1990},
   MRCLASS = {34A55 (34B24)},
  mrnumber = {1 107 960}
}

@article{andr73,
    author =    "A. L. Andrew",
    title =     "Eigenvectors of certain matrices",
    journal =   "Linear Alg. Appl.",
    volume =    7,
    year =      1973,
    pages =     "151-162"
    }

@article{andr94,
    author =    "A. L Andrew",
    title =     "Some recent developments in inverse eigenvalue
                problems",
    journal =    "Computational Techniques and Applications: CTAC93,
                ed. D. Stewart, H. Gardner and D. Singleton",
    publisher = "World Scientific, Singapore",
    year =      1994,
    pages =     "94-102"
    }

@article {andr92,
    AUTHOR = {Andrea, Stephen A. and Berry, T. G.},
     TITLE = {Continued fractions and periodic {J}acobi matrices},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {161},
      YEAR = {1992},
     PAGES = {117--134},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15A18 (12Y05 14H05 39A70 47A10 47B99)},
  MRNUMBER = {93e:15002},
MRREVIEWER = {M. Znojil},
}

@article {arav00,
    author = {Arav, Marina and Hershkowitz, Daniel and Mehrmann, Volker and
              Schneider, Hans},
     title = {The recursive inverse eigenvalue problem},
   journal = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    volume = {22},
      year = {2000},
    number = {2},
     pages = {392--412 (electronic)},
      ISSN = {1095-7162},
   MRCLASS = {15A29 (15A18 15A48 15A57)},
  mrnumber = {1 780 191}
}


@book{arno87,
    author =    "B. C. Arnold",
    title =     "Majorization and the Lorenz Order: A Brief
                Introduction",
    series =    "Lecture Notes in Statistics",
    volume =    43,
    publisher = "Springer-Verlag",
    address =   "Berlin",
    year =      1987
    }

@phdthesis{arno93,
    author =    "M. Arnold",
    title =     "Conditioning and Algorithm for the Eigenvalue
                Assignment Problem",
    type =      "Ph.D. Thesis",
    school =    "Department of Mathematical Sciences,
                Northern Illinois University",
    address =   "Dekalb, Illinois",
    year =      1993
    }

@book {arno83,
    AUTHOR = {Arnol$'$d, V. I.},
     TITLE = {Geometrical methods in the theory of ordinary differential
              equations},
      NOTE = {Translated from the Russian by Joseph Sz\"ucs,
              Translation edited by Mark Levi},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1983},
     PAGES = {xi+334},
      ISBN = {0-387-90681-9},
   MRCLASS = {58Fxx (34-02 34Cxx)},
  MRNUMBER = {84d:58023},
}


@ARTICLE{barc74a,
  author =       "V. Barcilon",
  title =        "Iterative solution of the inverse {S}turm-{L}iouville
                 equation",
  journal =      "J. Math. Phys.",
  year =         "1974",
  volume =       "15",
  pages =        "429-436",
  keywords =     "{S}turm-{L}iouville equation",
  source =       "Xu"
}

@ARTICLE{barc74b,
  author =       "V. Barcilon",
  title =        "On the uniqueness of inverse eigenvalue problems",
  journal =      "Geophys. J. Royal Astronomical Society",
  year =         "1974",
  volume =       "38",
  pages =        "287-298",
  keywords =     "uniqueness",
  source =       "Xu"
}

@ARTICLE{barc74c,
  author =       "V. Barcilon",
  title =        "On the solution of inverse eigenvalue problems
                 with high orders",
  journal =      "Geophys. J. Royal Astronomical Society",
  year =         "1974",
  volume =       "39",
  pages =        "153-154",
  keywords =     "high order",
  source =       "Xu"
}

@ARTICLE{barc76b,
  author =       "V. Barcilon",
  title =        "Inverse problem for a vibrating beam",
  journal =      "J. Appl. Math. Phys.",
  year =         "1976",
  volume =       "27",
  pages =        "346-358",
  keywords =     "vibrating beam",
  source =       "Xu"
}

@article{barc76,
    author =    "V. Barcilon",
    title =     "On the solution of the inverse problem with amplitude
                and natural frequency data {I}",
    journal =   "Phys. Earth Planet. Int.",
    volume =    13,
    year =      1976,
    pages =     "1-8"
    }
@article {barc78,
    author = {Barcilon, Victor},
     title = {Discrete analog of an iterative method for inverse eigenvalue
              problems for {J}acobi matrices},
   journal = {Z. Angew. Math. Phys.},
    volume = {29},
      year = {1978},
    number = {2},
     pages = {295--300},
   MRCLASS = {34B25},
  mrnumber = {58 \#11605},
MRREVIEWER = {M. S. P. Eastham}
}

@article{barc79,
    author =    "Victor Barcilon",
    title =     "On the multiplicity of solutions of the inverse
                problems for a vibrating beam",
    journal =   "SIAM J. Appl. Math.",
    volume =    37,
    year =      1979,
    number =    3,
    pages =     "119-127"
    }

@incollection {barc79b,
    author = {Barcilon, Victor and Turchetti, G.},
     title = {On an inverse eigenvalue problem with truncated spectral data},
 BOOKtitle = {Inverse and Improperly Posed Problems in Differential
              Equations (Proc. Conf., Math. Numer. Methods, Halle, 1979)},
     pages = {25--34},
 PUBLISHER = {Akademie-Verlag},
   ADDRESS = {Berlin},
      year = {1979},
   MRCLASS = {34B25},
  mrnumber = {80e:34009}
}


@article {barc80,
    author = {Barcilon, V. and Turchetti, G.},
     title = {Extremal solutions of inverse eigenvalue problems with finite
              spectral data},
   journal = {Wave Motion},
  FJOURNAL = {Wave Motion},
    volume = {2},
      year = {1980},
    number = {2},
     pages = {139--148},
      ISSN = {0165-2125},
     CODEN = {WAMOD9},
   MRCLASS = {70J99},
  mrnumber = {81j:70020},
MRREVIEWER = {Paul L. Davis}
}

@article {barc90,
    author = {Barcilon, Victor},
     title = {A two-dimensional inverse eigenvalue problem},
   journal = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal of Inverse
              Problems, Inverse Methods and Computerized Inversion of Data},
    volume = {6},
      year = {1990},
    number = {1},
     pages = {11--20},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {35R30 (35J05)},
  mrnumber = {91c:35153}
}

@incollection {barc86,
    author = {Barcilon, Victor},
     title = {Inverse eigenvalue problems},
 BOOKtitle = {Inverse problems (Montecatini Terme, 1986)},
     pages = {1--51, Lecture Notes in Math., Vol. 1225},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      year = {1986},
   MRCLASS = {35R30 (34A55 73K12 86A20)},
  mrnumber = {88d:35187},
MRREVIEWER = {Carlos A. de Moura}
}

@article {barn91,
    author = {Barnes, David C.},
     title = {The inverse eigenvalue problem with finite data},
   journal = {SIAM J. Math. Anal.},
  FJOURNAL = {SIAM Journal on Mathematical Analysis},
    volume = {22},
      year = {1991},
    number = {3},
     pages = {732--753},
      ISSN = {0036-1410},
     CODEN = {SJMAAH},
   MRCLASS = {34A55 (34B24 34L40 65L15)},
  mrnumber = {91k:34016},
MRREVIEWER = {Jan Bochenek}
}
@article {barn95,
    author = {Barnes, David C. and Knobel, Roger},
     title = {The inverse eigenvalue problem with finite data for partial
              differential equations},
   journal = {SIAM J. Math. Anal.},
  FJOURNAL = {SIAM Journal on Mathematical Analysis},
    volume = {26},
      year = {1995},
    number = {3},
     pages = {616--632},
      ISSN = {0036-1410},
     CODEN = {SJMAAH},
   MRCLASS = {35R30 (35J05)},
  mrnumber = {96c:35191},
MRREVIEWER = {V. M. Isakov}
}

@article{barr84,
    author =    "W. W. Barrett and C. R. Johnson",
    title =     "Possible spectra of totally
                positive matrices",
    journal =   "Linear Alg. Appl.",
    volume =    62,
    year =      1984,
    pages =     "231-233"
    }

@article{baye89,
    author =    "D. A. Bayer and J. C. Lagarias",
    title =     "The nonlinear geometry of linear programming, {I} and {II}",
    journal =   "Trans. Amer. Math. Soc.",
    volume =    314,
    year =      1989,
    pages =     "499-581"
    }

@PHDTHESIS{beer95,
  author =       {de Beer, R.},
  title =        {Quantitative in vivo NMR
(Nuclear Magnetic Resonance on Living Objects),},
  school =       {University of Technology Delft, Netherlands},
  year =         {1995},
  note =         {available at
  http://dutnsic.tn.tudelft.nl:8080/c59\_to\_html/c59.html}
}



@book {bene80,
    author = {Benedek, Agnes Ilona and Panzone, Rafael},
     title = {On inverse eigenvalue problems for a second-order differential
              equation with parameter contained in the boundary conditions},
 PUBLISHER = {Universidad Nacional del Sur Instituto de Matem\'atica},
   ADDRESS = {Bah\'\i a Blanca},
      year = {1980},
     pages = {13},
   MRCLASS = {34B25},
  mrnumber = {82c:34023},
MRREVIEWER = {S. J. Lee}
}

@article {berm71,
    AUTHOR = {Berman, Abraham and Ben-Israel, Adi},
     TITLE = {A note on pencils of {H}ermitian or symmetric matrices},
   JOURNAL = {SIAM J. Appl. Math.},
    VOLUME = {21},
      YEAR = {1971},
     PAGES = {51--54},
   MRCLASS = {15A57},
  MRNUMBER = {45 \#3443},
MRREVIEWER = {Marvin Marcus},
}

@article{berm84,
    author =    "A. Berman",
    title =     "System identification of structural dynamic models ---
                theoretical and practical bounds",
    journal =   "AIAA Paper",
    volume =    "84-929",
    year =      1984,
    pages =     "123-129"
    }

@book{berm79,
    author =    "A. Berman and R. J. Plemmons",
    title =     "Nonnegative Matrices in the Mathematical Sciences",
    publisher = "Academic Press",
    address =   "New York",
    year =      1979,
    note =      "also Classics in Applied Mathematics 9,
                SIAM, Philadelphia, 1994"
    }

@book{bhat87,
    author =    "R. Bhatia",
    title =     "Perturbation Bounds for Matrix Eigenvalues",
    publisher = "Longman Scientific \& Technical, Wiley",
    address =   "New York",
    year =      1987
    }

@TECHREPORT{bisc95,
  author =       {Bischof, C. and Carle, A. and Hovland, P. and
  Khademi, P. and Mauer, A.},
  title =        {ADIFOR 2.0 User's Guide},
  institution =  {ANL/MCS-TM-192 , Argonne National  Laboratory},
  year =         {1995},
  note  =        {See also {\em http://www.mcs.anl.gov/adifor/}.}
}


@article {bieg81a,
    author = {Biegler-K{\"o}nig, Friedrich W.},
     title = {A {N}ewton iteration process for inverse eigenvalue problems},
   journal = {Numer. Math.},
  FJOURNAL = {Numerische Mathematik},
    volume = {37},
      year = {1981},
    number = {3},
     pages = {349--354},
      ISSN = {0029-599X},
     CODEN = {NUMMA7},
   MRCLASS = {65F15},
  mrnumber = {82h:65027}
}

@article {bieg81b,
    AUTHOR = {Biegler-K{\"o}nig, Friedrich W.},
     TITLE = {Construction of band matrices from spectral data},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {40},
      YEAR = {1981},
     PAGES = {79--87},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {65F15 (15A18)},
  MRNUMBER = {83a:65033},
MRREVIEWER = {T. Y. Li},
}

@article {bieg81c,
    author = {Biegler-K{\"o}nig, Friedrich W.},
     title = {Sufficient conditions for the solubility of inverse eigenvalue
              problems},
   journal = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    volume = {40},
      year = {1981},
     pages = {89--100},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15A09 (65F15)},
  mrnumber = {82j:15007},
MRREVIEWER = {D. J. Hartfiel}
}



@article{bloc90,
    author =    "A. M. Bloch",
    title =     "Steepest descent, linear programming,
                and Hamiltonian flows",
    journal =   "Contemporary Math.",
    volume =    114,
    year =      1990,
    pages =     "77-88"
    }

@article{bloc90b,
    author =    "A. M. Bloch and R. W. Brockett and R. S. Ratiu",
    title =     "A new formulation of the generalized Toda
                lattice equations and their fixed point analysis
                via the momentum map",
    journal =   "Bulletin AMS",
    volume =    23,
    year =      1990,
    pages =     "477-485"
    }

@book{bloc94,
    author =    "A. M. Bloch",
    title =     "Hamiltonian and Gradient Flows, Algorithms and Control",
    series =    "Fields Institute Commun.",
    volume =    "Vol. III",
    publisher = "AMS",
    year =      1994
    }

@article{boht68,
    author =    "Z. Bohte",
    title =     "Numerical solution of the inverse algebraic
                eigenvalue problem",
    journal =   "Computer J.",
    volume =    10,
    year =      1968,
    pages =     "385-388"
    }

@incollection {bole77,
    author = {Boley, D. and Golub, G. H.},
     title = {Inverse eigenvalue problems for band matrices},
 BOOKtitle = {Numerical analysis (Proc. 7th Biennial Conf., Univ. Dundee,
              Dundee, 1977)},
     pages = {23--31. Lecture Notes in Math., Vol. 630},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      year = {1978},
   MRCLASS = {65F15},
  mrnumber = {57 \#14375},
MRREVIEWER = {H. Hochstadt}
}

@inproceedings {bole78,
    author = {Boley, D. L. and Golub, G. H.},
     title = {The matrix inverse eigenvalue problem for periodic {J}acobi
              matrices},
 BOOKtitle = {Proceedings of the Fourth Symposium on Basic Problems of
              Numerical Mathematics (Plze\v n, 1978)},
     pages = {63--76},
 PUBLISHER = {Charles Univ.},
   ADDRESS = {Prague},
      year = {1978},
   MRCLASS = {15A21 (58F07 65F15 65F30)},
  mrnumber = {81e:15005},
MRREVIEWER = {J. S. Joel}
}


@article{bole84,
    author =    "D. Boley and G. H. Golub",
    title =     "A modified method for reconstructing periodic
                {J}acobi matrices",
    journal =   "Math. Comput.",
    volume =    24,
    year =      1984,
    pages =     "143-150"
    }

@article {bole87,
    author = {Boley, Daniel and Golub, Gene H.},
     title = {A survey of matrix inverse eigenvalue problems},
   journal = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal of Inverse
              Problems, Inverse Methods and Computerized Inversion of Data},
    volume = {3},
      year = {1987},
    number = {4},
     pages = {595--622},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {65F15},
  mrnumber = {89m:65036}
}

@incollection {bole97,
    AUTHOR = {Boley, Daniel L. and Luk, Franklin T. and Vandevoorde, David},
     TITLE = {Vandermonde factorization of a {H}ankel matrix},
 BOOKTITLE = {Scientific computing (Hong Kong, 1997)},
     PAGES = {27--39},
 PUBLISHER = {Springer},
   ADDRESS = {Singapore},
      YEAR = {1997},
   MRCLASS = {15A23 (15A21 65F30)},
  MRNUMBER = {2000i:15023},
}



@article{boor78,
    author =    "C. de Boor and G. H. Golub",
    title =     "The numerically stable reconstruction
                of a {J}acobi matrix from spectral data",
    journal =   "Linear Alg. Appl.",
    volume =    21,
    year =      1978,
    number =    3,
    pages =     "245-260"
    }

@ARTICLE{borg95,
  author =       "Borges, C. F and Frezza, R. and Gragg, W. B.",
  title =        "Some inverse eigenproblems for {J}acobi and
                 arrow matrices",
  journal =      "Numer. Lin. Alg. Appl.",
  year =         "1995",
  volume =       "2",
  number =       "ü3",
  pages =        "195-203",
  keywords =     "{J}acobi matrix, arrow matrix",
  source =       "Xu"
}

@incollection {bosz81,
    author = {Bosznay, {\'A}dam},
     title = {Solution of the inverse eigenvalue problem of a vibrating
              continuum with the method of intermediate operators},
 BOOKtitle = {Numerical treatment of differential equations, Vol. 3
              (Clausthal, 1980)},
     pages = {18--35},
 PUBLISHER = {Birkh\"auser},
   ADDRESS = {Basel},
      year = {1981},
   MRCLASS = {73K05 (65N25)},
  mrnumber = {86e:73034}
}

@article{boyl91,
    author =    "M. Boyle and D. Handelman",
    title =     "The spectra of nonnegative matrices via
                symbolic dynamics",
    journal =   "Ann. Math.",
    volume =    133,
    year =      1991,
    pages =     "249-316"
    }

@article{broc89,
    author =    "R. W. Brockett",
    title =     "Least squares matching problems",
    journal =   "Linear Alg. Appl.",
    volume =    "122/123/124",
    year =      1989,
    pages =     "761-777"
    }

@article{broc91,
    author =    "R. W. Brockett",
    title =     "Dynamical systems that sort lists, diagonalize
                matrices and solve linear programming problems",
    journal =   "Linea Alg. Appl.",
    volume =    146,
    year =      1991,
    pages =     "79-91"
    }

@article{buns91,
    author =    "A. Bunse-Gerstner and R. Byers and V. Mehrmann
                and N. K. Nichols",
    title =     "Numerical computation of an analytic singular
                value decomposition of a matrix valued function",
    journal =   "Numer. Math.",
    volume =    60,
    year =      1991,
    pages =     "1-40"
    }

@article {buns93,
    AUTHOR = {Bunse-Gerstner, Angelika and Byers, Ralph and Mehrmann,
              Volker},
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@article{byer88,
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@ARTICLE{cadz88,
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@TECHREPORT{carv01,
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  institution =  {National Center for Theoretical Sciences, Mathematics Div.},
  year =         {2001},
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@PHDTHESIS{caus64,
  author =       {Causey, R. L.},
  title =        {On Closest Normal Matrices},
  school =       {Stanford University},
  year =         {1964},
  type =         {Ph.D. Thesis},
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@article {chan88,
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@article {cnp94,
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@article {chan99,
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@article{chan90,
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@book {chad97,
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@ARTICLE{char83,
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@article {chen96,
    author = {Chen, Xuzhou and Chu, Moody T.},
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@article{chu88,
    author =    "M. T. Chu",
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@article {chu88b,
    AUTHOR = {Chu, Moody T. and Norris, Larry K.},
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   JOURNAL = {SIAM J. Numer. Anal.},
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    VOLUME = {25},
      YEAR = {1988},
    NUMBER = {6},
     PAGES = {1383--1391},
      ISSN = {0036-1429},
     CODEN = {SJNAAM},
   MRCLASS = {65F99 (15A23 58F07 58F25)},
  MRNUMBER = {90m:65091},
}


@article {chu90,
    author = {Chu, Moody T.},
     title = {Solving additive inverse eigenvalue problems for symmetric
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   journal = {IMA J. Numer. Anal.},
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    volume = {10},
      year = {1990},
    number = {3},
     pages = {331--342},
      ISSN = {0272-4979},
     CODEN = {IJNADN},
   MRCLASS = {65F15},
  mrnumber = {91j:65065}
}

@article{chu90b,
    author =    "M. T. Chu and K. R. Driessel",
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    pages =     "1050-1060"
    }

@article{chu91,
    author =    "M. T. Chu and K. R. Driessel",
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    journal =   "SIAM J. Math. Anal.",
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    year =      1991,
    pages =     "1372-1387"
    }

@article {chu91b,
    AUTHOR = {Chu, Moody T.},
     TITLE = {A continuous {J}acobi-like approach to the simultaneous
              reduction of real matrices},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {147},
      YEAR = {1991},
     PAGES = {75--96},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {65F30 (15A21)},
  MRNUMBER = {92a:65130}
}

@article{chu92,
    author =    "M. T. Chu and M. A. Erbrecht",
    title =     "Symmetric {T}oeplitz matrices with two prescribed
                eigenpairs",
    journal =   "SIAM J. Matrix Anal. Appl.",
    volume =    15,
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    number =    2,
    pages =     "623-635"
    }

@article{chu92c,
    author =    "M. T. Chu",
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    number =    3,
    pages =     "885-903"
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@article{chu92b,
    author =    "M. T. Chu",
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    }

@article{chu93,
    author =    "M. T. Chu and J. L. Watterson",
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@unpublished{chu93c,
    author =    "M. T. Chu",
    title =     "On a differential equation $\frac{dX}{dt} = [X,k(X)]$
                where $K$ is a {T}oeplitz annihilator",
    note =      "available at
                http://www4.ncsu.edu/\verb+~+mtchu",
    year =      1993
    }

@article{chu93b,
    author =    "M. T. Chu",
    title =     "Constructing a {H}ermitian matrix from its diagonal
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    volume =    16,
    year =      1995,
    pages =     "207-217"
    }

@unpublished{chu94,
    author =    "M. T. Chu",
    title =     "On the refinement of a {N}ewton method for the inverse
                {T}oeplitz eigenvalue problem",
    note =      "available at
                http://www4.ncsu.edu/\verb+~+mtchu",
    year =      1994
    }

@article{chu95,
    author =    "M. T. Chu and J. W. Wright",
    title =     "The education testing problem revisited",
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    number =    1,
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@article{chu96,
    author =    "M. T. Chu and Q. Guo",
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    year =      1998,
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@article {chu98,
    author = {Chu, Moody T.},
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  mrnumber = {99e:15008},
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@article {chu99,
    AUTHOR = {Chu, Moody T.},
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    VOLUME = {288},
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    NUMBER = {1-3},
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@article {chu00,
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      ISSN = {1095-7170},
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  MRNUMBER = {1 749 246}
}

@ARTICLE{chu02,
  author =       {Chu, Moody T. and Golub, Gene H.},
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@ARTICLE{chue96,
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@book {conn92,
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@UNPUBLISHED{czyz96,
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@article {dai88,
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@article {dai95,
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@article {dai96,
    author = {Dai, Hua},
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MRREVIEWER = {Zhenyue Zhang}
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@book{fris95,
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MRREVIEWER = {Robert Beauwens},
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MRREVIEWER = {Author's review},
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@book {gant59,
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@article{gear86,
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@techreport{gear91,
    author =    "C. W. Gear",
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      ISSN = {0895-4798},
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  mrnumber = {97c:65071}
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    AUTHOR = {Gel$'$fand, I. M. and Ponomarev, V. A.},
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   JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
    VOLUME = {3},
      YEAR = {1969},
    NUMBER = {4},
     PAGES = {81--82},
   MRCLASS = {15.30 (16.00)},
  MRNUMBER = {40 \#7279},
MRREVIEWER = {D. {\v{Z}}. Dokovi{\'c}},
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@article {gel55,
    AUTHOR = {Gel$'$fand, I. M. and Levitan, B. M.},
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    VOLUME = {1},
      YEAR = {1955},
     PAGES = {253--304},
   MRCLASS = {34.0X},
  MRNUMBER = {17,489c}}
}

@article{glad84,
    author =    "G. M. L. Gladwell",
    title =     "The inverse problem for the vibrating beam",
    journal =   "Proc. R. Soc.",
    volume =    "A 393",
    year =      1984,
    pages =     "277-295"
    }

@article{glad85,
    author =    "G. M. L. Gladwell and J. A. Gbadeyan",
    title =     "On the inverse problem of
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    journal =   "Q. J. Mech. Appl. Math.",
    volume =    38,
    year =      1985,
    pages =     "169-174"
    }

@article{glad86,
    author =    "G. M. L. Gladwell",
    title =     "The inverse mode problem for lumped-mass systems",
    journal =   "Q. J. Mech. Appl. Math.",
    volume =    39,
    year =      1986,
    pages =     "297-307"
    }

@book{glad86b,
    author =    "G. M. L. Gladwell",
    title =     "Inverse Problems in Vibration",
    publisher = "Martinus Nijhoff",
    address =   "Dordrecht, Netherlands",
    year =      1986
    }

@article{glad86c,
    author =    "G. M. L. Gladwell",
    title =     "Inverse problems in vibration",
    journal =   "Appl. Mech. Review",
    volume =    39,
    year =      1986,
    pages =     "1013-1018"
    }

@article {glad88,
    author = {Gladwell, Graham M. L. and Dods, Steven R. A. and Chaudhuri,
              Sujeet K.},
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   journal = {IEEE Trans. Circuits and Systems},
  FJOURNAL = {Institute of Electrical and Electronics Engineers.
              Transactions on Circuits and Systems},
    volume = {35},
      year = {1988},
    number = {6},
     pages = {659--666},
      ISSN = {0098-4094},
     CODEN = {ICSYBT},
   MRCLASS = {94C05 (34B25)},
  mrnumber = {944 133}
}

@article {gald89,
    author = {Gladwell, G. M. L. and Willms, N. B.},
     title = {A discrete {G}el$'$fand-{L}evitan method for band-matrix
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   journal = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal of Inverse
              Problems, Inverse Methods and Computerized Inversion of Data},
    volume = {5},
      year = {1989},
    number = {2},
     pages = {165--179},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {65F15 (15A18 39A12)},
  mrnumber = {90f:65052},
MRREVIEWER = {Tuncay Aktosun}
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@book {gill81,
    AUTHOR = {Gill, Philip E. and Murray, Walter and Wright, Margaret H.},
     TITLE = {Practical optimization},
 PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
   ADDRESS = {London},
      YEAR = {1981},
     PAGES = {xvi+401},
      ISBN = {0-12-283950-1},
   MRCLASS = {65K10 (65-01 65K05 90-01)},
  MRNUMBER = {83d:65195},
MRREVIEWER = {N. N. Abdelmalek},
}


@article {glad91,
    author = {Gladwell, G. M. L.},
     title = {The application of {S}chur's algorithm to an inverse
              eigenvalue problem},
   journal = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal of Inverse
              Problems, Inverse Methods and Computerized Inversion of Data},
    volume = {7},
      year = {1991},
    number = {4},
     pages = {557--565},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {65L15 (34A55 34B24)},
  mrnumber = {92d:65139}
}

@article{glad96,
    author =    "G. M. L. Gladwell",
    title =     "Inverse problems in vibration, {II}",
    volume =    "49",
    journal =   "Appl. Mech. Review",
    year =      {1996},
    number =    {10},
    pages =     "2-27"
    }

@article {glad97,
    AUTHOR = {Gladwell, G. M. L.},
     TITLE = {Inverse vibration problems for finite-element models},
   JOURNAL = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal on the Theory and
              Practice of Inverse Problems, Inverse Methods and Computerized
              Inversion of Data},
    VOLUME = {13},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {311--322},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {73K12 (15A18 65M60 70-08 70J05 73V05)},
  MRNUMBER = {97m:73035},
}


@article{glad99,
    author =    "Gladwell, G. M. L.",
    title =     "Inverse finite element vibration problems",
    volume =    "211",
    journal =   "J. Sound Vib.",
    year =      {1999},
    pages =     "309-324"
    }

@article {glad92,
    AUTHOR = {Gladwell, G. M. L. and Zhu, B. R.},
     TITLE = {Inverse problems for multidimensional vibrating systems},
   JOURNAL = {Proc. Roy. Soc. London Ser. A},
  FJOURNAL = {Proceedings of the Royal Society. London. Series A.
              Mathematical, Physical and Engineering Sciences},
    VOLUME = {439},
      YEAR = {1992},
    NUMBER = {1907},
     PAGES = {511--530},
      ISSN = {0962-8444},
     CODEN = {PRLAAZ},
   MRCLASS = {73K12 (70J99 73D50)},
  MRNUMBER = {93m:73023},
MRREVIEWER = {Daniel L. Boley},
}

@article {glad99b,
    AUTHOR = {Gladwell, G. M. L. and Morassi, A.},
     TITLE = {Estimating damage in a rod from changes in node position},
   JOURNAL = {Inverse Problems in Engineering},
    VOLUME = {7},
      YEAR = {1999},
     PAGES = {215-233},
}

@article{glad01a,
    author =    "Gladwell, G. M. L.",
    title =     "On the reconstruction of a damped vibrating system
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    volume =    "240",
    journal =   "J. Sound Vib.",
    year =      "2001",
    pages =     "203-217"
    }

@article{folt01,
    author =    "Foltete, E. and Gladwell, G. M. L. and Lallement, G.",
    title =     "On the reconstruction of a damped vibrating system
    from two complex spectra, Part II - Experiement",
    volume =    "240",
    journal =   "J. Sound Vib.",
    year =      "2001",
    pages =     "219-240"
    }

@book {gohb82,
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      YEAR = {1982},
     PAGES = {xiv+409},
      ISBN = {0-12-287160-X},
   MRCLASS = {15A18 (15-02 15A21 15A24 47A56)},
  MRNUMBER = {84c:15012},
MRREVIEWER = {Heinz Langer},
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@book {gohb95,
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   ADDRESS = {Basel},
      YEAR = {1995},
     PAGES = {viii+333},
      ISBN = {3-7643-5259-0},
   MRCLASS = {47-02 (15A21 47A56 47N70 93B25)},
  MRNUMBER = {97i:47002},
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@article {golu69,
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    VOLUME = {23},
      YEAR = {1969},
    NUMBER = {106, loose microfiche suppl},
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   MRCLASS = {65.55},
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@article{golu73,
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@book {golu96,
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   MRCLASS = {65-02 (65Fxx)},
  MRNUMBER = {97g:65006},
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@article {gron87,
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    VOLUME = {87},
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     PAGES = {213--225},
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@article {glun90,
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    VOLUME = {6},
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@incollection {grop97,
    AUTHOR = {Gropp, William and Mor{\'e}, Jorge J.},
     TITLE = {Optimization environments and the {N}{E}{O}{S} server},
 BOOKTITLE = {Approximation theory and optimization (Cambridge, 1996)},
     PAGES = {167--182},
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   ADDRESS = {Cambridge},
      YEAR = {1997},
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  MRNUMBER = {1 601 707},
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@article {grun78,
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@article {guow96,
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      ISSN = {0024-3795},
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   MRCLASS = {15A48 (15A18)},
  mrnumber = {97h:15027},
MRREVIEWER = {Marc Artzrouni}
}

@article {guoz95,
    author = {Guo, Zhong and Liao, An Ping},
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   journal = {Hunan Daxue Xuebao},
  FJOURNAL = {Hunan Daxue Xuebao. Ziran Kexue Ban. Journal of Hunan
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      year = {1995},
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  mrnumber = {97k:15023}
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@article{grag84,
    author =    "Gragg, W. B. and Harrod, W. J.",
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@article{gray76,
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@article{gree89,
    author =    "A. Greenbaum and G. H. Rodrigue",
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    year =      1989,
    pages =     "610-634"
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@article{gree92,
    author =    "A. Greenbaum",
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    journal =   "SIAM J. Matrix Anal. Appl.",
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@article{hade68a,
    author =    "K. P. Hadeler",
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    pages =     "83-101"
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@article{hade68b,
    author =    "K. P. Hadeler",
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    pages =     "35-39"
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@article{hade69,
    author =    "K. P. Hadeler",
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    pages =     "65-86"
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@article{hade71,
    author =    "K. P. Hadeler",
    title =     "Existenz und eindeutigkeitss{\"{a}}tze f{\"{u}}r
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    pages =     "317-322"
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@phdthesis{hald72,
    author =    "O. H. Hald",
    title =     "On discrete and numerical inverse {S}turm-{L}iouville
                problems",
    school =    "New York University",
    year =      1972
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@article {hald76,
    author = {Hald, Ole H.},
     title = {Inverse eigenvalue problems for {J}acobi matrices},
   journal = {Linear Algebra and Appl.},
    volume = {14},
      year = {1976},
    number = {1},
     pages = {63--85},
   MRCLASS = {15A15 (65F15)},
  mrnumber = {56 \#5594},
MRREVIEWER = {H. Hochstadt}
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@article {hald77,
    author = {Hald, Ole H.},
     title = {Inverse eigenvalue problems for layered media},
   journal = {Comm. Pure Appl. Math.},
    volume = {30},
      year = {1977},
    number = {1},
     pages = {69--94},
   MRCLASS = {86.35},
  mrnumber = {56 \#17695},
MRREVIEWER = {Gottfried Anger}
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@article {hald77a,
    AUTHOR = {Hald, Ole H.},
     TITLE = {Discrete inverse {S}turm-{L}iouville problems. {I}.
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   JOURNAL = {Numer. Math.},
    VOLUME = {27},
      YEAR = {1976/77},
    NUMBER = {2},
     PAGES = {249--256},
   MRCLASS = {65L15 (34B25)},
  MRNUMBER = {57 \#14472},
MRREVIEWER = {William B. Day}
}

@ARTICLE{hald78a,
  author =       "O. H. Hald",
  title =        "The inverse {S}turm-{L}iouville problem and the
                 Rayleigh-Ritz method",
  journal =      "Math. Comput.",
  year =         "1978",
  volume =       "32",
  number =       "ü143",
  pages =        "687-705",
  keywords =     "{S}turm-{L}iouville problem, {R}aleigh-{R}itz method",
  source =       "Xu",
  file = F
}

@ARTICLE{hald78b,
  author =       "O. H. Hald",
  title =        "The inverse {S}turm-{L}iouville problem with
                 symmetric potentials",
  journal =      "Acta Math.",
  year =         "1978",
  volume =       "141",
  number =       "3--4ü",
  pages =        "263-291",
  keywords =     "{S}turm-{L}iouville, potential",
  source =       "Xu",
  file = F
}

@article {hald84,
    author = {Hald, Ole H.},
     title = {Discontinuous inverse eigenvalue problems},
   journal = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    volume = {37},
      year = {1984},
    number = {5},
     pages = {539--577},
      ISSN = {0010-3640},
     CODEN = {CPAMA},
   MRCLASS = {34B25 (86A20)},
  mrnumber = {85j:34037},
MRREVIEWER = {Pierre C. Sabatier}
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@article{hald89,
    author =    "O. H. Hald and J. R. McLaughlin",
    title =     "Solutions of inverse nodal problems",
    journal =   "Inverse Problems",
    volume =    5,
    year =      1989,
    number =    3,
    pages =     "307-347"
    }

@incollection {hnp93,
    AUTHOR = {Hanke, Martin and Nagy, James and Plemmons, Robert},
     TITLE = {Preconditioned iterative regularization for ill-posed
              problems},
 BOOKTITLE = {Numerical linear algebra (Kent, OH, 1992)},
     PAGES = {141--163},
 PUBLISHER = {de Gruyter},
   ADDRESS = {Berlin},
      YEAR = {1993},
   MRCLASS = {65F10 (65F35 93E10)},
  MRNUMBER = {94m:65055},
MRREVIEWER = {J. W. Neuberger},
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@book {halm74,
    AUTHOR = {Halmos, Paul R.},
     TITLE = {Finite Dimensional Vector Spaces},
   EDITION = {second},
      NOTE = {Reprinting of the 1958 second edition, Undergraduate Texts in Mathematics},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1974},
     PAGES = {viii+200},
   MRCLASS = {15-01 (47-01)},
  MRNUMBER = {53 \#13258}
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@article {han88,
    AUTHOR = {Han, Shih-Ping},
     TITLE = {A successive projection method},
   JOURNAL = {Math. Programming},
  FJOURNAL = {Mathematical Programming},
    VOLUME = {40},
      YEAR = {1988},
    NUMBER = {1, (Ser. A)},
     PAGES = {1--14},
      ISSN = {0025-5610},
     CODEN = {MHPGA4},
   MRCLASS = {90C30 (49D07 90C48)},
  MRNUMBER = {89b:90185},
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@ARTICLE{hegl89,
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@book{helm94,
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@MASTERSTHESIS{hers78,
  author =       {Hershkowits, Daniel},
  title =        {Existence of matrices satisfying prescribed conditions},
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@article{hers83,
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@UNPUBLISHED{high00,
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@ARTICLE{hoch73,
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@article{hoch79,
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@book {hors65,
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@ARTICLE{Ikra00,
  author =       "Ikramov, Khakim D. and Chugunov, Vadim N.",
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@ARTICLE{iser00,
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@article {jian96,
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@article {jian97,
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@article {jixz98,
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@UNPUBLISHED{kann98,
  author =       {Prieze, P. and Kannaa, R},
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@ARTICLE{karm98,
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%%%%%
%   L
%%%%%

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@book {lev87,
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@incollection {lill99,
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@ARTICLE{zimm90,
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  year =         {1990},
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}