Centrosymmetric and centro-skewsymmetric Toeplitz-plus-Hankel matrices and Bezoutians

Linear Algebra and Its Applications

Volumn 366, Issue SPEC. ISS., 2003, Pages 257-281

  Heinig, Georg ^a   Rost, Karla ^b  

^a KUWAIT UNIVERSITY   (Kuwait)

^b CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Bezoutian; Centrosymmetric matrix; Matrix inversion; Toeplitz plus Hankel matrix

Indexed keywords

EID: 0037409841     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(02)00506-2     Document Type: Conference Paper

References (18)

1. N.I. Akhiezer The Classical Moment Problem 1965 Oliver and Boyd London
2. Y. Bistritz Zero location with respect to the unit circle of discrete-time linear system polynomials Proc. IEEE 72 1984 1131 1142
3. K.P. Bube, and R. Burridge The one-dimensional inverse problem of reflection seismology SIAM Rev. 25 1983 497 559
4. P. Delsarte, and Y. Genin The split Levinson algorithm IEEE Trans. Acoust. Speech Signal Process. ASSP-34 1986 470 477
5. P. Delsarte, and Y. Genin On the splitting of classical algorithms in linear prediction theory IEEE Trans. Acoust. Speech Signal Process. ASSP-35 1987 645 653
6. P. Fuhrmann A Polynomial Approach to Linear Algebra 1996 Springer New York
7. C. Di Fiore, and P. Zellini Matrix displacement decompositions and applications to Toeplitz linear systems Linear Algebra Appl. 268 1998 197 225
8. G. Heinig Chebyshev-Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices Linear Algebra Appl. 327 1-3 2001 181 196
9. G. Heinig, Kernel structure of Toeplitz-plus-Hankel matrices, Linear Algebra Appl. 340 (2002) 1-13
10. G. Heinig, and K. Rost Algebraic Methods for Toeplitz-like Matrices and Operators 1984 Akademie-Verlag Berlin, and Birkhäuser, Basel
11. G. Heinig, and K. Rost On the inverses of Toeplitz-plus-Hankel matrices Linear Algebra Appl. 106 1988 39 52
12. G. Heinig, and K. Rost DFT representations of Toeplitz-plus-Hankel Bezoutians with application to fast matrix-vector multiplication Linear Algebra Appl. 284 1998 157 175
13. G. Heinig, and K. Rost Hartley transform representations of inverses of real Toeplitz-plus-Hankel matrices Numer. Funct. Anal. Optim. 21 2000 175 189
14. G. Heinig, K. Rost, Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bezoutians, Linear Algebra Appl. 343-344 (2002) 195-209
15. G. Heinig, K. Rost, Efficient inversion formulas for Toeplitz-plus-Hankel matrices using trigonometric transformations, in: V. Olshevsky (Ed.), Structured Matrices in Mathematics, Computer Science, and Engineering, vol. 2, AMS-Series Contemporary Mathematics, 2001, pp. 247-264
16. I.S. Iohvidov, Toeplitz and Hankel Matrices and Forms, Birkhäuser, Basel, 1982
17. M. Krein, and M. Naimark The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations Linear Multilinear Algebra 10 1981 265 308
18. P. Lancaster, and M. Tismenetsky The Theory of Matrices 1985 Academic Press