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Datta, Biswa Nath
A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications. (English). Czechoslovak Mathematical Journal, vol. 30 (1980), issue 1, pp. 71-79
MSC: 15A24, 30C15, 93D20 | MR 565909 | Zbl 0435.15011 | DOI: 10.21136/CMJ.1980.101656
References:
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[2] S. Barnett: Matrices, polynomials and linear time-invariant systems. IEEE Trans. Automat. Control, AC-18 (1973), 1-10. DOI 10.1109/TAC.1973.1100216 | MR 0452886 | Zbl 0271.93012
[3] B. N. Datta: Quadratic forms, matrix equations and the matrix eigenvalue problem. Ph. D. Dissertation, University of Ottawa, March, 1972.
[4] B. N. Datta: Application of Hankel matrix to the root location problem. IEEE Trans. Auto-Automat. Control, AC-21 (1976), 210-212. MR 0414592 | Zbl 0344.15012
[5] B. N. Datta: An algorithm for evaluating a matrix polynomial and its applications. (in preparation).
[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. DOI 10.1016/0022-247X(79)90115-X | MR 0531438 | Zbl 0421.65035
[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. DOI 10.1016/0024-3795(78)90074-5 | MR 0510812
[8] F. R. Gantmacher: The Theory of Matrices. Vol. II, Chelsea, New York, 1959. Zbl 0085.01001
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