· An automatic multistep method for solving stiff initial value problems,

J. Comput. Appl. Math., 9(1983), 229-238.

(abstract) (postscript) (pdf)

• On a numerical treatment for the curve tracing of the homotopy method,

Numer. Math., 42(1983), 323-329.

(abstract) (postscript) (pdf)

• On the global convergence of the Toda lattice for real normal matrices and its applications to the eigenvalue problems,

SIAM J. Math. Anal., 15(1984), 98-103.

(abstract) (postscript) (pdf)

• The generalized Toda flow, the QR algorithm and the center manifold theorem,

SIAM J. Alg. Disc. Meth., 5(1984), 187-210.

• A simple application of the homotopy method to symmetric eigenvalue problems,

Linear Alg. Appl., 59(1984), 85-90.

(abstract) (postscript) (pdf)

• Asymptotic analysis of the Toda lattice on diagonalizable matrices,

Nonlinear Anal. TMA, 9(1985), 193-201.

(abstract) (postscript) (pdf)

• Symbolic calculation of the trace of the power of a tridiagonal matrix,

Computing, 35(1985), 257-268.

• A continuous approximation to the generalized Schur decomposition,

Linear Alg. Appl., 78(1986), 119-132.

(abstract) (postscript) (pdf)

• Continuous power method,

preprint, 1986.

• Curves on $S^{n-1}$ that lead to eigenvalues or their means of a matrix,

SIAM J. Alg. Disc. Meth., 7(1986), 425-432.

• On a differential equation approach to the singular value decomposition of bidiagonal matrices,

Linear Alg. Appl., 80(1986), 71-79.

(abstract) (postscript) (pdf)

• (with H. Hamilton), Parallel solution of ODE's by multiblock methods,

SIAM J. Sci. Stat. Comput., 8(1987), 342-353.

• (with H. Hamilton), Some remarks on the zero-stability of multiblock methods,

preprint, 1987.

• On a differential equation approach to the additive inverse eigenvalue problems,

preprint, 1987.

• A note on the homotopy method for linear algebraic eigenvalue problems,

Linear Alg. Appl., 105(1988), 225-236.

(abstract) (postscript) (pdf)

• On the continuous realization of iterative processes,

SIAM Review, 30(1988), 375-387.

(abstract) (postscript) (pdf)

• (with L. K. Norris), Isospectral flows and abstract matrix factorizations,

SIAM J. Numer. Anal., 25(1988), 1383-1391.

(abstract) (postscript) (pdf)

• (with T. Y. Li and T. Sauer), Homotopy method for general $\lambda$-matrix problems,

SIAM J. Matrix Anal. Appl., 9(1988), 528-536.

(abstract) (postscript) (pdf)

• (with G. H. Guirguis), A numerical method for the interface problem arising in the two-point boundary value problems,

Computer methods in Applied Mechanics and Engineering, 74(1989), 99-113.

(abstract) (postscript) (pdf)

• A derivative-free iterative method for locating the hand position of a robot manipulator,

MCS-P48-0189, Argonne National Laboratory.

(abstract) (postscript) (pdf)

• (with K. R. Driessel), Can real symmetric Toeplitz matrices have arbitrary real spectra?

preprint, 1989.

• (with K. R. Driessel), Some numerical experiments with isospectral flows,

Technical Report 90-01, Idaho State University, 1990.

• Solving additive inverse eigenvalue problems for symmetric matrices by the homotopy method,

IMA J. Numer. Anal., 9(1990), 331-342.

• (with K. R. Driessel), The projected gradient method for least squares matrix approximations with spectral constraints,

SIAM J. Numer. Anal., 27(1990), 1050-1060.

(abstract) (postscript) (pdf)

• A continuous Jacobi-like approach to the simultaneous reduction of real matrices,

Linear Alg. Appl., 147(1991), 75-96.

(abstract) (postscript) (pdf)

• Least squares approximation by real normal matrices with specified spectrum,

SIAM J. Matrix Anal. Appl., 12(1991), 115-127.

(abstract) (postscript) (pdf)

• (with K. R. Driessel), Constructing symmetric nonnegative matrices with prescribed eigenvalues by differential equations,

SIAM J. Math. Anal., 22(1991), 1372-1387.

(abstract) (postscript) (pdf)

• Matrix differential equations: A continuous realization process for linear algebra problems,

Nonlinear Anal., TMA, 18(1992), 1125-1146.

(abstract) (postscript) (pdf)

• Numerical methods for inverse singular value problems,

SIAM J. Numer. Anal., 29(1992), 885-903.

(abstract) (postscript) (pdf)

• On the inverse eigenvalue problem for real circulant matrices,

preprint, 1992.

(abstract) (postscript) (pdf)

• On the differential equation $\frac{dX}{dt} = [X,k(X)]$ where $k$ is a Toeplitz annihilator,

preprint, 1993.

(abstract) (postscript) (pdf)

• (with J. L. Watterson), On a multivariate eigenvalue problem: I. Algebraic Theory and Power method,

SIAM J. Sci. Comput., 14(1993), 1089-1106.

(abstract) (postscript) (pdf)

• The stability group of symmetric Toeplitz matrices,

Linear Alg. Appl., 185(1993), 119-123.

(abstract) (postscript) (pdf)

• (with M. A. Erbrecht), Symmetric Toeplitz matrices with two prescribed eigenpairs,

SIAM J. Matrix Anal. Appl., 15(1994), 623-635.

(abstract) (postscript) (pdf)

• A list of matrix flows with applications,

Proceedings of Workshop on Hamiltonian and Gradient Flows, Algorithms and Control, Fields Institute, Canada, 1992,

Fields Institute Communications, 3(1994), 87-97.

(abstract) (postscript) (pdf)

• Scaled Toda-like flows,

Linear Alg. Appl., 215(1995), 261-273.

(abstract) (postscript) (pdf)

• (with J. W. Wright), Educational testing problem and non-smooth optimization,

IMA J. Numer. Anal., 15(1995), 141-160.

(abstract) (postscript) (pdf)

• Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues,

SIAM J. Matrix Appl., 16(1995), 207-217.

(abstract) (postscript) (pdf)

• (with R. E. Funderlic and G. H. Golub), A rank-one reduction formula and its relations to other matrix factorizations,

Manuscript SCCM-94-07, Stanford University, 1994; also SIAM Review, 37(1995), 512-530.

(abstract) (postscript) (pdf)

• (with X. Chen), On the least squares solution of inverse eigenvalue problems,

SIAM J. Numer. Anal., 33(1996), 2417-2430.

(abstract) (postscript) (pdf)

• (with R. E. Funderlic and G. H. Golub), On a new geometric meaning of the BFGS update,

preprint, 1995.

(abstract) (postscript) (pdf)

• On the refinement of a Newton method for the inverse Toeplitz eigenvalue Problem,

preprint, 1995.

(abstract) (postscript) (pdf)

• (with R. E. Funderlic and G. H. Golub), On a variational formulation of the generalized singular value decomposition,

SIAM J. Matrix Anal. Appl., 18(1997), 1082-1092.

(abstract) (postscript) (pdf)

• (with Q. Guo), On the least squares approximation of symmetric-definite pencils subject to generalized spectral constraints,

SIAM J. Matrix Anal. Appl., 19(1998), 1-20.

(abstract) (postscript) (pdf)

• Inverse eigenvalue problems,

SIAM Review, 40(1998), 1-39.

(abstract) (postscript) (pdf)

• (with Q. Guo), A numerical method for the inverse stochastic spectrum problem,

SIAM J. Matrix Anal. Appl., 19(1998), 1027-1039.

(abstract) (postscript) (pdf)

• (with R. E. Funderlic and G. H. Golub), Rank modifications of semi-definite matrices with applications to secant updates,

SIAM J. Matrix Anal. Appl., 20(1998), 428-436.

(abstract) (postscript) (pdf)

• (with R. Plemmons), Numerical methods for adaptive-optics systems,

preprint, 1995.

• (with N. T. Trendafilov), The orthogonally constrained regression revisited,

J. Comput. Graph. Stat., 10(2001), 746-771.

(abstract) (postscript) (pdf)

• (with N. T. Trendafilov), On a differential equation approach to the weighted orthogonal Procrustes problem,

Statistics \& Computing, 8(1998), 125-133.

(abstract) (postscript) (pdf)

• (with N. T. Trendafilov), ORTHOMAX rotation problem: a differential equation approach,

Behavirometrika, 25(1998), 13-23.

• On the optimal consistent approximation to pairwise comparison matrices,

Linear Alg. Appl., 272(1998), 155-168.

(abstract) (postscript) (pdf)

• (with R. E. Funderlic and R. J. Plemmons) Approximation by structured lower rank matrices,

Proceedings of SPIE, in Advanced Signal Processing, Algorithm, Architectures, and Implementations, VIII, 3461(1998), 268-279.

• On constructing matrices with prescribed singular values and diagonal elements,

Linear Alg. Appl., 288(1999), 11-22.

(abstract) (postscript) (pdf)

• (with N. T. Trendafilov), A continuous-time approach to the oblique Procrustes problem,

Behavirometrika, 26(1999), 167-181.

• A fast recursive algorithm for constructing matrices with prescribed eigenvalues and singular values,

SIAM J. Numer. Anal., 37(2000), 1004-1020.

(abstract) (postscript) (pdf)

• (with V. P. Pauca, R. J. Plemmons, and X. Sun), A mathematical framework for the linear reconstructor problem in adaptive optics,

Linear Alg. Appl., 316(2000), 113-135.

(abstract) (postscript) (pdf)

• On an adaptive control algorithm for the adpative optics problems,

preprint, 1999.

(abstract) (postscript) (pdf)

• (with R. E. Funderlic), The Centroid Decomposition: Relationships between Discrete Variational Decompositions and SVD,

SIAM J. Mat. Anal. Appl., 23(2001), 1025-1044.

(abstract) (postscript) (pdf)

• (with G. Golub), Structured Inverse Eigenvalue Problems,

Acta Numerica, invited paper, 2002, 1-71.

(abstract) (postscript) (pdf)

• (with R. E. Funderlic and R. J. Plemmons), Structured low rank approximation,

Linear Alg. Appl., 366(2003), 157-172.

(abstract) (postscript) (pdf)

• (with R. J. Plemmons) Real-valued, low rank circulant approximation,

SIAM J. Mat. Anal. Appl., 24(2003), 645-659.

(abstract) (postscript) (pdf)

• On the statistical meaning of truncated singular value decomposition,

preprint, 2001.

(abstract) (postscript) (pdf)

• (with F. Diele and I. Sgura) Gradient flow methods for matrix completion with prescribed eigenvalues,

Linear Alg. Appl., 379(2004), 85-112.

(abstract) (postscript) (pdf)

• (with F. Diele and I. Sgura) On the robust matrix completion with prescribed eigenvalues,

Future Generation Computing Systems, 19(2003), 1139-1153.

(abstract) (postscript) (pdf)

• (with Y. C. Kuo and W. W. Lin) On inverse quadratic eigenvalue problems with partially prescribed eigenstructure,

SIAM J. Mat. Anal. Appl., 25(2004), 995-1020.

(abstract) (postscript) (pdf)

• (with Y. C. Kuo and W. W. Lin) On the existence and uniqueness of a solution to the inverse monic quadratic eigenvalue problem,

SIAM J. Mat. Anal. Appl., 25(2004), 995-1020.

(abstract) (postscript) (pdf)

• (with D. I. Chu and H. Brown) On the least squares Euclidean distance matrix approximation and completion,

Optimization and Engineering, submitted, 2004.

(abstract) (postscript) (pdf)

• (with S. F. Xu) On computing minimal realizable spectral radii of nonnegative matrices,

J. Numer. Linear Alg. Appl., 12( 2005), 77-86..

(abstract) (postscript) (pdf)

• (with N. Del Buono, F. Diele, T. Politi, and S. Ragni) On the semigroup of standard symplectic matrices and its applications,

Linear Alg. Appl., 389(2004), 215-225.

(abstract) (postscript) (pdf)

• (with N. Del Buono, L. Lopez, and T. Politi) On the low rank approximation of data on the unit sphere,

SIAM J. Mat. Anal. Appl.,27(2005), 46-60..

(abstract) (postscript) (pdf)

(DOI: 10.1137/S0895479803433295)

• Group theory, linear transformations, and flows: Dynamical systems on manifolds,

Preprint, 2004.

(abstract) (postscript) (pdf)

• (with N. Orlowski, D. Schlorff, J. Blevins, D. Canas, and R. Funderlic), The effect of ties on convergence in the $k$-modes variants for clustering categorical data,

Preprint, 2004.

(abstract) (postscript) (pdf)

• (with F. Diele, R. Plemmons, and S. Ragni) Optimality, Computation and Interpretation of nonnegative matrix factorizations,

Preprint, 2005.

(abstract) (postscript) (pdf)

• (with R. Plemmons) Nonnegative matrix factorization and applications,

IMAGE, 34(2005), 1-5.

(abstract) (postscript) (pdf)

• (with F. Diele and S. Ragni) On the inverse problem of constructing symmetric pentadiagonal Toeplitz matrices from three largest eigenvalues,

Inverse Problems, 21(2005), 1879-1894.

(abstract) (postscript) (pdf)

• (with D. Chu) Singular value reassignment with low rank matrices,

Math. Comput.,75(2006), 1351-1366.

(abstract) (postscript) (pdf)

• (with D. Chu) Reachable set by the QR iteration with shifts,

SIAM J. Applied Dynamical Systems, 5(2006), 91-107.

(abstract) (postscript) (pdf)

• (with S. Ragni, C. Marangi, andF. Diele) Estimating the consumption matrix from inexact data in the Leontief model,

J. Numer. Anal. Indus. Appl. Math., 2(2007), 139-156.

(abstract) (postscript) (pdf)

• (with N. Del Buono and B. Yu) Structured quadratic inverse eigenvalue problem, I. Serially linked systems,

SIAM J. Sci. Comput, 29(2007), 2668-2685.

(abstract)(postscript)(pdf)

(DOI:10.1137/060672510)

• (with W.-W. Lin and S.-F. Xu) Updating quadratic models with no spill-over effect on unmeasured spectral data,

Inverse Problems, 23(2007), 243-256.

(abstract)(postscript)(pdf)

• (with N. Del Buono) Total decoupling of general quadratic pencils, Part I: Theory,

J. Sound Vibration, 309(2008), 96-111.

(abstract) (postscript) (pdf)

(DOI: 10.1016/j.jsv.2007.05.058)

• (with N. Del Buono) Total decoupling of general quadrtic pencils, Part II: Structure preserving isospectral flows,

J. Sound and Vibration, 309(2008), 112-128.

(abstract) (postscript) (pdf)

(DOI: 10.1016/j.jsv.2007.05.052)

• Quadratic inverse eigenvalue problems and its applications to model updating – an overview,

in Model Order Reduction: Theory, Research Aspects and Applications, (Eds.) Wilhemlus Schilders, Henk van der Vorst, Joost Rommes,

Springer, ISBN: 978-3-540-78840-9

Lorenz Center, Leiden University,

271-290, 2008..

(abstract)(postscript)(pdf)

• (with B. Datta, W.-W. Lin and S.-F. Xu) The spill-over phenomenon in quadratic model updating,

AIAA J., 46(2008), 420-428.

(abstract)(postscript)(pdf)

• (with M. M. Lin) Low dimensional polytope approximation and its applications to nonnegative matrix factorization,

SIAM J. Sci. Comput., 30(2008), 1131-1151..

(abstract)(postscript)(pdf)

• (with C. T. Kelley, L.-Z. Liao, L.-Q. Qi, J. P. Reese and C. Winton) Projected pseudo-transient continuation,

SIAM J. Numer. Ana., 46(2008), 3071-3083..

(abstract)(postscript)(pdf)

• (with S. Xu) Spectral decomposition of real symmetric quadratic $\lambda $-matrices and its applications,

Math. Comput., 78(2009), 293-313.

(abstract)(postscript)(pdf)

• (with D. Chu and W.-W. Lin) Real symmetric quadratic model updating that preserves positive definiteness and no spill-over,

SIMAX J. Mat. Anal. Appl., 31(2009), 546-564.

(abstract)(postscript)(pdf)

• Data mining and applied linear algebra,

International Conference on Informatics Education and Research for Knowledge-Circulating Society,

ICKS 2008, 20-25.

(abstract)(postscript)(pdf)

• Numerical linear algebra algorithms as dynamical systems,

Acta Numerica, 17(2008), 1-86.

(abstract)(postscript)(pdf)

• (with B. Dong and M. Lin) Parameter reconstruction of vibration systems from partial eigeninformation,

Journal of Sound and Vibration, 327(2009), 391-401.

(abstract)(postscript)(pdf)

• (with B. Dong and M. Lin) Nonnegative rank factorization via rank reduction,

Preprint, submitted.

(abstract)(postscript)(pdf)

• (with L.-H. Zhang) Computing Absolute Maximum Correlation,

IMA J. Numer. Anal., to appear.

(abstract)(postscript)(pdf)

• (with M. Lin and B. Dong) Inverse mode problem for real symmetric quadratic models,

Inverse Problems, 26(2010), 065003,

(doi: 10.1088/0266-5611/26/6/065003)

(abstract)(postscript)(pdf)

• (with M. Lin and B. Dong) Semi-definite programming techniques for structured quadratic inverse eigenvalue problems,

Numer. Algorithms, 53(2010), 419-437.

(abstract)(postscript)(pdf)

• (with M. Lin and B. Dong) Integer matrix factorization and its applications,

Preprint, 2009.

(abstract)(postscript)(pdf)

• (with M. Lin) On the nonnegative rank of Euclidean distance matrices,

Linear Alg. Appl., 433(2010), 681-689.

(abstract)(postscript)(pdf)

• On the nonnegative rank of Euclidean distance matrices, II,

preprint, 2010.

(abstract)(postscript)(pdf)

• (with M. Lin) Dynamical System Characterization of the Central Path and Its Variants --- A Revisit,

preprint, 2010.

(abstract)(postscript)(pdf)

· (with C.-H. Kuo and M. Lin) Spline Approximation of policy functions in Economics with Uncertainties,

preprint, 2011,

(abstract)(postscript)(pdf)