N. J. Rose Home Page   

RESUME

• Education
  
  Stevens Institute of Technology, 1921-1944, M.E., Engineering
  New York University, 1946-1949, M. S., Mathematics
  New York University, 1949-1956, Ph. D., Mathematics
  
  
• Employment
  
  United States Navy, 1943-1946, Ensign
  Stevens Institute of Technology, Hoboken, NJ, 1946-50, Instructor
  Stevens Institute of Technology, Hoboken, NJ, 1950-55, Assistant Professor
  Stevens Institute of Technology, Hoboken, NJ, 1955-60, Associate Professor
  Stevens Institute of Technology, Hoboken, NJ, 1960-68, Professor
  Stevens Institute of Technology, 1960-68, Head of the Mathematics Department
  Bell Telephone Laboratories, Whippany, NJ, 1955-60, Consultant
  North Carolina State University, Raleigh, NC, 1968-1977, Professor & Head
  North Carolina State Universtiy, Raleigh, NC, 1977-89, Professor
  North Carolina State Universtiy, Raleigh, NC, 1989- present, Professor Emeritus
  
  
• Professional Societies
  
  American Mathematical Society
  Mathematical Association of America
  
  
• Biographical Listings
  
  Who's Who in America
  American Men of Science
  Who's Who in Education
  
  
• Awards
  
  Outstanding Teacher Award, Stevens Institute of Technology, 1959
  NSF Faculty Fellowship, 1967--68
  
  
• Books
  
  Differential Equations With Applications, (with P. D. Ritger), McGraw Hill, NY, 1968
  
  Mathematical Maxims and Minims, Rome Press, Raleign, NC, 1985
  
  Introduction to Linear Analysis, Copytron, Raleigh, NC, 1992
  
  
• Publications
  
  Optimal Switching Criteria for Discontinuous Automatic Controls, IRE Convention Record, 1954
  
  On the eigenvalues of a matrix which commutes with its derivative, Proceedings of the American Mathematica Society, Vol. 16, No. 4, pp. 752--754 , 1965
  
  On optimal terminal control, IEEE Transactions on Automatic Control, AC-14, No. 5, pp. 443-448, 1969 (with R. D. Bronson)
  
  A Laurent expnasion for the gain Matix, IEEE Transactions on Automatics Control, Vol. AC-15, No. 3, pp. 368-372, 1970
  
  Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients, SIAM Journal on Applied Mathematics, Vol. 31, No. 3, pp. 411--425, (1976) (with S. L. Campbell and C. D. Meyer)
  
  A note on computing the Drazin inverse, Linear Algebra and Its Applications, Vol. 15, pp. 95-98, (1976)
  
  The index and the Drazin inverse of block triangular matrices, SIAM Journal of Applied Mathematics, Vol. 33, No. 1, pp. 1--7, (1977) (with C. D. Meyer)
  
  The Laurent expansion of a generalized resolvent with some applications, SIAM Journal of Mathematical Analysis, Vol. 9, No. 4, pp. 751--758, (1978)
  
  Singular perturbation of autonomous linear systems III, Houston Journal of Mathematics, Vol. 4, No. 4, pp. 527--539, (1978) (with S. L. Campbell)
  
  Singular perturbation of autonomous linear systems, SIAM Journal of Mathematical Analysis, Vol. 10, No. 3, pp. 527--551, (1979), (with S. L. Campbell)
  
  Pandect of Pi, Patimyas Matematika, Vol. 15, No. 2, pp. 14--21, (1981)
  
  Results of an informal survey on the use of linear algebra in industry and government, Linear Algebra and Its Applications, Vol. 38, pp. 289--294, (1981) (with S. L. Campbell and C. D. Meyer)
  
  Nonnegative matrices with power invariant zero patterns, Linear Algebra and Its Applications, Vol. 42, pp. 23--29, (1982) (with C. D. Meyer, G. D. Poole and M. W. Stadelmaier)
  
  A second order singular linear system arisng in electric power systems analysis, International Journal of Systems Science, Vol. 13, No. 1, pp. 101-108 (1982), (with S. L. Campbell)
  
  On regular Markov chains}, American Mathematical Monthly, Vol. 92, No.2,
  p. 146, (1985)
  
  On a Fibonacci identity, The Fibonacci Quarterly, Vol. 23, Nol 2, pp. 151-152, (1985)
  
  An algebraic-analytic approach to nonnegative bases, Linear Algebra and its Applications, Vol. 133 pp. 77-88, (1990) (with R. H. Hartwig and M. Neumann)
  
  Eudoxus Meets Cayley, (to appear in Mathematical Monthly, 2003) (with R. E. Chandler and C. D. Meyer)
  
  
• Technical Reports

  Theoretical aspects of limit control, Stevens Institute Experimental Towing Tank Report No. 459, 1953
  
  On the errors in a digital differential analyzer, Technical Memorandum, Bell Telephone Laboratories, 1955
  
  On extrapolation errors for band limited functions, Technical Memorandum, Bell Telephone Laboratories, 1956
  
  On errors in polynomial extrapolation, Technical Memorandum, Bell Telephone
  Laboratories, 1956
  
  A transfer function for extrapolation, Technical Memorandum, Bell Telephone Laboratories, 1956
  
  On second order switching servomechanisms, Technical Memorandum, Bell Telephone Laboratories, 1958
  
  On optimal terminal control, Technical Memorandum, Bell Telephone Laboratories, 1966
  
  

• Miscellaneous
  
  Published, edited and contributed to The Mathematical Calendar, 1977-1985, Rome Press (with C. D. Meyer)
  
  Published, edited and contributed to The Mathematical Sciences Calendar, 1986 1990, Rome Press Inc.
  
  Member of Visiting Lecturer Panel, American Mathematical Society, 1983--1989
  
  
• Ph. D. Dissertations Directed
  
  

  Leonard Nichols (1963), Thesis: An application of Pontriagin's maximum principle (at SIT)
  
  Harry Helm (1963), Thesis: On exponential type solutions of systems ofs linear
  differential equations (at SIT)
  
  David B. Hill (1963), Thesis: On generalized exponentials (at SIT, co-directed with J. B. Crabtree)
  
  John P. F. Martin (1965), Thesis: On systems of linear differential equations and an extension of Erugin's theorem (at SIT)
  
  Lawrence Russel (1966), Thesis: Polynomial extrapolation with incomplete derivative data (at SIT)
  
  Richard D. Bronson (1968), Thesis: On optimal terminal control (at SIT)
  
  Peter H. Astor (1970), Thesis: The fixed time, fixed end-point control problem with quadratic const (at SIT)
  
  Ampon Dhamacharoen (1986), Thesis: Positive discrete linear control systems with bounded inputs and graded manpower systems (at NCSU)
  

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