×

Eigenvalues and eigenvectors of symmetric centrosymmetric matrices. (English) Zbl 0326.15007


MSC:

15A18 Eigenvalues, singular values, and eigenvectors
15B57 Hermitian, skew-Hermitian, and related matrices
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Muir, Thomas, A Treatise on the Theory of Determinants (1960), Dover, originally published 1883
[2] Aitken, A. C., Determinants and Matrices (1939), Oliver and Boyd: Oliver and Boyd Edinburgh · Zbl 0022.10005
[3] Levinson, N., Time Series, (Wiener, N. (1949), M.I.T. Press), 136-137, Appendix B
[4] Good, I. J., The inverse of a centrosymmetric matrix, Technometrics, 12, No. 4, 925-928 (November 1970)
[5] Andrew, A. L., Eigenvectors of certain matrices, Linear Algebra Appl., 7, 157-162 (1973) · Zbl 0255.65021
[6] Anderson, B. D.O.; Jury, E. I., A simplified Schur-Cohn test, IEEE Trans. Autom. Control, AC-18, No. 2, 157-163 (April 1973)
[7] Magee, F. R.; Proakis, J. G., An estimate of an upper bound on error probability for maximum likelihood sequence estimation on channels having finite-duration pulse response, IEEE Trans. Inf. Theory, IT-19, 699-702 (September 1973)
[8] Wilkinson, J. H., The Algebraic Eigenvalue Problem (1965), Oxford U.P: Oxford U.P London · Zbl 0258.65037
[9] Widom, H., Toeplitz matrices, (Hirschmann, I. I., Studies in Real and Complex Analysis. Studies in Real and Complex Analysis, Math. Assoc. Am. Stud. in Math. (1965), Prentice-Hall) · Zbl 0173.42501
[10] Gray, R. M., On the asymptotic eigenvalue distribution of Toeplitz matrices, IEEE Trans. Inf. Theory, IT-18, No. 6, 725-730 (November 1972)
[11] Gersho, A., Adaptive equalization of highly dispersive channels for data transmission, B.S.T.J., 48, 55-70 (January 1969)
[12] Ray, W. D., The inverse of a finite Toeplitz matrix, Technometrics, 12, 153-156 (1969) · Zbl 0194.34002
[13] Grenander, U.; Szego, G., Toeplitz Forms and Their Applications (1958), Univ. Calif. Press: Univ. Calif. Press Berkeley · Zbl 0080.09501
[14] Cantoni, A.; Butler, P., Eigenvalues and eigenvectors of symmetric centrosymmetric matrices and application, Univ. Newcastle Tech. Rept., No. EE7403 (April 1974)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.