Publications before 1996

  • A parallel algorithm for the eigenvalue assignment problem in linear systems (with A. Bhaya and M. Coutinho), Proc. Int. Conference on Control and Information , (1995), 163-168 (Invited paper).
  • A parallel algorithm for the Lyapunov matrix equation (with Conrad Fernandes) Proc. American Control Conference , (1995), 4050-4054 (Invited paper).
  • Linear and numerical linear algebra in control theory: Some research problems , Lin. Alg. Appl. (1994), vol. 197-198, 755-790.
  • Recent developments in large-scale and parallel matrix computations and their applications to linear control problems , Invited Paper, Proc. IEEE Conference on Decision and Control, (1994), 438-442.
  • On computing the frequency response matrix for large and sparse linear systems (with Samar Choudhary and M. Heroux). Proc. International Aerospace Congress , Moscow, August 1994 (Invited paper).
  • Feedback stabilization of the second-order model: A nonmodal approach (with F. Rincon), Lin. Alg. Appl., 188 (1993), 138-161.
  • High performance computing in control , SIAM Book on Parallel Processing for Scientific Computing (1993), 274-281.
  • Large-scale and parallel computations in control: A Tutorial ( invited paper) in, Proc. American Control Conference , (1992), 137-141.
  • Parallel Algorithms in Control Theory , Proc. IEEE Conference on Decision and Control , (1991), 1700-1704 ( Invited paper ).
  • Arnoldi methods for large Sylvester-like observer matrix equations and an associated algorithm for partial spectrum assignment (with Y. Saad), Lin. Alg. Appl. (dedicated to G. H. Golub, R. Varga and D. Young), vol. 154-156, (1991), 225-244.
  • On feedback-stabilization of the large second-order model (with F. Rincon), Proc. IEEE Conference on Decision and Control , 1990 and Trans. Soc. for Computer Simulation , vol. 8, no. 2 (1991), 99-108.
  • Numerical algorithms for the eigenvalue assignment problem via observer matrix equations , Proc. IEEE Conference on Decision and Control , (1990).
  • An algorithm for the multi-input eigenvalue assignment problem (with Mark Arnold), IEEE Trans. Auto. Control , (1990), 1149-1152.
  • On canonical form and eigenvalue assignment (with K. Datta), Lin. Alg. Appl. 13 , (1990), 161-182.
  • Large scale and parallel matrix computations in control: some ideas , Lin. Alg. Appl. 12 , (1989), 243-364.
  • Bezoutian, Vandermonde matrices and the stability criterion of Lienard and Chipart (with Paul Fuhrman), Lin. Alg. Appl. , 120 , (1989), 23-37.
  • Large scale solutions of Sylvester matrix equation and partial pole assignment problems (with Y. Saad), Proc. 4th Int. Fed. Automatic Control Symposium on Computer-Aided Control Design , Pergamon Books Ltd., 1988.
  • An algorithm for assigning eigenvalues in a Hessenberg matrix: single-input case , IEEE Trans. Auto. Control , AC-32 (1987), 414-417.
  • The matrix equation XA=A^TX and associated algorithms for inertia and stability problems (with K. Datta), Lin. Alg. Appl., 97 , (1987), 103-119.
  • A Hessenberg method for the positive semidefinite Lyapunov equation (with K. Datta), Proc. 26th IEEE Conference on Decision and Control (1987).
  • Toeplitz algorithms for controllability, GCD and Cauchy Index (with K. Datta), Proc. American Control Conference (1986), 415-418. ( Invited paper )
  • On determining eigenvalue distribution of a matrix in certain regions of the complex plane (with K. Datta), IEEE Trans. Auto Control , AC-31 (1986), 445-447.
  • Review of matrices and indefinite scalar products , Lin. Alg. Appl., 74 , (1986), 277-279.
  • On the root separation of polynomials and inertia theory for matrices (invited paper), Proc. 25th IEEE Conference on Decision and Control. (1986), 1959-1962.
  • Theoretical and computational aspects of some linear algebra problems in control theory (with K. Datta), Computational and Combinatorial Methods in Systems Theory (1986), 202-212. Edited by C. Byrnes and A. Lindquist ( Invited paper ).
  • Efficient parallel algorithms for controllability and eigenvalue assignment problems (with K. Datta), Proc. 24th IEEE Conference on Decision and Control , (1985), 1611-1616.
  • Sequential and parallel computations and complexities for determining relative primeness, stability and inertia (with K. Datta), Contemporary Mathematics , vol. 47 (Special issue on Linear Algebra and its Role in Systems Theory ) (1985), 95-109, American Math. Society.
  • An analysis and synthesis of classical Fujiwara-methods for the root-separation problem , J. Math. Anal. Appl ., vol. 98 , (1984), 495-501.
  • Stability and controllability , Int. Journal of Control , vol. 38, (1984), 1013-1022.
  • A new criterion of controllability , IEEE Trans. Auto. Control , AC-29 (1984), 444-446.
  • On the controllability of matrix pairs (A,K) with K positive semidefinite (with D. Carlson and H. Schneider), SIAM J. Algebraic and Discrete Methods, vol. 5, (1984), 346-350.
  • Generalized Hankel matrices of Markov parameters and their applications in control problems , Lin. Alg. Appl. , 62 , (1984), 139-154.
  • A fast solution method for positive semidefinite Lyapunov matrix equation (with K. Datta), Proc. 2nd Latin American Conference in Applied and Computational Mathematics , Rio de Janeiro, Brazil, 1983.
  • On the structure of the unique solution to a Lyapunov matrix equation , SIAM Review , July 1982.
  • A solution of the unit circle problem via Schwarz canonical form , IEEE Trans. Auto. Control , AC-27 (1982), 698-700.
  • A semi-definite Lyapunov Theorem and characterization of tridiagonal-stable matrices (with D. Carlson and C. Johnson), SIAM J. Alg. Discrete Methods , vol. 3, (1982), 293-304.
  • An algorithm for computing commuting matrices with applications , Matrix and Tensor Quarterly , vol. 30, (1980), no. 2, 114-115.
  • On the computation of the characteristic polynomial of a Hessenberg matrix , Journal of Industrial Mathematics Soc. (USA), vol. 30, part 1, (1980), 55-60.
  • Controllability, Bezoutian and relative primeness , Inter. J. Math. and Math. Sc. (USA), vol. 3, no. 1 (1980), 185-188.
  • Matrix equations, polynomial matrix and the number of zeros of a polynomial inside the unit circle , Linear and Multilinear Algebra (USA), vol. 9, (1980), 63-68.
  • A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications , Czech. Math. Journal , vol. 30, (1980), 71-79.
  • Application of the Bezoutian bilinear form to the solution of the aperiodicity problem , Matrix and Tensor Quarterly , vol. 30, no. 3, (1980), 76-80.
  • On the effective computation of the inertia of a non-Hermitian matrix (with D. Carlson), Numerische Matematik , vol. 33, (1979), 315-322.
  • Application of the Hankel matrices of Markov parameters to the solutions of the Routh-Hurwitz and Schur-Cohn problems , J. Math. Anal. Appl. vol. 69, (1979), 276-290.
  • The Lyapunov matrix equations S A + A^*S = S^* B^* BS (with D. Carlson), special issue of Lin. Alg. Appl. dedicated to A. Householder, vol. 28, (1979), 43-53.
  • On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara Theorems for the root-separation problems , Lin. Alg. Appl. , vol. 22, (1978), 235-246.
  • Stability and D-stability , Lin. Alg. Appl. , vol. 21, (1978), 135-141.
  • An elementary proof of the stability criterion of Lienard and Chipart , Lin. Alg. Appl. , vol. 122, (1978), 89-96.
  • Two inertia theorems for Hessenberg matrices and their applications to stability analysis of linear control systems , Matrix and Tensor Quarterly , vol. 29, (1978), 55-63.
  • Comments on application of Hankel matrix to the root-location problem , IEEE Trans. Auto.\ Control , June (1978).
  • Matrices satisfying Siljak's conjecture , IEEE Trans. Auto. Control , AC-22 (1977), 132-133.
  • An algorithm for computing powers of a Hessenberg matrix and its applications (with Karabi Datta), Lin. Alg. Appl. , vol. 14, (1976), 273-284.
  • An algorithm for computing symmetrizer of a Hessenberg matrix, published under the title Datta-Method in the book Computer Based Numerical Algorithms by E. V. Krishnamurthy and S. K. Sen, Van-Nostrand East and West Press, 1976, 261-263.
  • A numerical method for solving the stability equations (with K. Datta), Proc. Symposium on Computer Systems, Organization and Programming , University of Calcutta, Calcutta, India, 1976.
  • Application of Hankel matrix to the root-location problem , IEEE Trans. Auto. Control , AC-21 (1976), 611-612.
  • On the computation of the Routh canonical form of a Hessenberg matrix , IEEE Trans. Auto. Control , AC-20 (1975), 273-275.
  • An inertia theorem for Schwarz matrix , IEEE Trans. Auto. Control , AC-20 (1975), 274-275.
  • On the similarity between a matrix and its Routh-canonical form , IEEE Trans. Auto. Control , AC-20 (1975), 233-274.
  • A constructive method for finding the Schwarz from of a Hessenberg matrix , IEEE Trans. Auto. Control , AC-19 (1974), 616-617.
  • Matrix equation and relative primeness of two polynomials , IEEE Trans. Auto. Control , AC-13 (1973).
  • The DAD theorem for non-negative symmetric matrices (with J. Csima), Combinatorial Theory , Serie A, 12 (1972), 147-152.