Kailath, T.; Kung, S.-Y.; Morf, M. Displacement ranks of a matrix. (English) Zbl 0417.65015 Bull. Am. Math. Soc., New Ser. 1, 769-773 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 30 Documents MSC: 65F05 Direct numerical methods for linear systems and matrix inversion 15A09 Theory of matrix inversion and generalized inverses 15B57 Hermitian, skew-Hermitian, and related matrices 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 68Q25 Analysis of algorithms and problem complexity Keywords:solution of linear equations; Toeplitz matrices; inverse; displacement ranks of a matrix PDFBibTeX XMLCite \textit{T. Kailath} et al., Bull. Am. Math. Soc., New Ser. 1, 769--773 (1979; Zbl 0417.65015) Full Text: DOI References: [1] Thomas Kailath, Some new algorithms for recursive estimation in constant linear systems, IEEE Trans. Information Theory IT-19 (1973), 750 – 760. · Zbl 0342.93053 [2] M. Morf, G. S. Sidhu and T. Kailath, Some new algorithms for recursive estimation in constant, linear, discrete-time systems, IEEE Trans. Automatic Control AC-19 (1974), 315-323. · Zbl 0279.93043 [3] M. Morf, Fast algorithms for multivariate systems, Ph.D. Dissertation, Stanford University, Stanford, Calif., 1974. [4] Thomas Kailath, Lennart Ljung, and Martin Morf, Generalized Kreĭn-Levinson equations for efficient calculation of Fredholm resolvents of nondisplacement kernels, Topics in functional analysis (essays dedicated to M. G. Kreĭn on the occasion of his 70th birthday), Adv. in Math. Suppl. Stud., vol. 3, Academic Press, New York-London, 1978, pp. 169 – 184. · Zbl 0441.45007 [5] I. C. Gohberg and I. A. Fel\(^{\prime}\)dman, Convolution equations and projection methods for their solution, American Mathematical Society, Providence, R.I., 1974. Translated from the Russian by F. M. Goldware; Translations of Mathematical Monographs, Vol. 41. [6] T. Kailath, A. Vieira, and M. Morf, Inverses of Toeplitz operators, innovations, and orthogonal polynomials, SIAM Rev. 20 (1978), no. 1, 106 – 119. · Zbl 0382.47013 · doi:10.1137/1020006 [7] Alfred V. Aho, John E. Hopcroft, and Jeffrey D. Ullman, The design and analysis of computer algorithms, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1975. Second printing; Addison-Wesley Series in Computer Science and Information Processing. · Zbl 0326.68005 [8] M. Morf, Doubling algorithms for Toeplitz and related equations, IEEE Trans. Information Theory (submitted). 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.