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Title: A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications (English)
Author: Datta, Biswa Nath
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 30
Issue: 1
Year: 1980
Pages: 71-79
Summary lang: Russian
Category: math
MSC: 15A24
MSC: 30C15
MSC: 93D20
idZBL: Zbl 0435.15011
idMR: MR565909
DOI: 10.21136/CMJ.1980.101656
Date available: 2008-06-09T14:37:33Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] S. Barnett: A new formulation of the Liénard-Chipart stability criterion.Proc. Camb. Phil. Soc. (1971), 269-274. Zbl 0224.15019, MR 0292548
Reference: [2] S. Barnett: Matrices, polynomials and linear time-invariant systems.IEEE Trans. Automat. Control, AC-18 (1973), 1-10. Zbl 0271.93012, MR 0452886, 10.1109/TAC.1973.1100216
Reference: [3] B. N. Datta: Quadratic forms, matrix equations and the matrix eigenvalue problem.Ph. D. Dissertation, University of Ottawa, March, 1972.
Reference: [4] B. N. Datta: Application of Hankel matrix to the root location problem.IEEE Trans. Auto-Automat. Control, AC-21 (1976), 210-212. Zbl 0344.15012, MR 0414592
Reference: [5] B. N. Datta: An algorithm for evaluating a matrix polynomial and its applications.(in preparation).
Reference: [6] B. N. Datta: Application of Hankel matrices of Markov parameters to the solutions of the Routh-Hurwitz and the Schur-Cohn Problems.J. Math. Anal. Appl. 68 (1979), 276--290. Zbl 0421.65035, MR 0531438, 10.1016/0022-247X(79)90115-X
Reference: [7] B. N. Datta: On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root separation problems, Linear Algebra and its Applications.22 (1978), 235-246. MR 0510812, 10.1016/0024-3795(78)90074-5
Reference: [8] F. R. Gantmacher: The Theory of Matrices.Vol. II, Chelsea, New York, 1959. Zbl 0085.01001


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