Displacement ranks of a matrix

Authors:
T. Kailath, S.-Y. Kung and M. Morf

Journal:
Bull. Amer. Math. Soc. **1** (1979), 769-773

MSC (1970):
Primary 15A09, 47A65, 47B35, 45L05

MathSciNet review:
537629

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References | Similar Articles | Additional Information

**1.**Thomas Kailath,*Some new algorithms for recursive estimation in constant linear systems*, IEEE Trans. Information Theory**IT-19**(1973), 750–760. MR**0363565****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.**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. MR**538019****5.**I. C. Gohberg and I. A. Fel′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. MR**0355675****6.**T. Kailath, A. Vieira, and M. Morf,*Inverses of Toeplitz operators, innovations, and orthogonal polynomials*, SIAM Rev.**20**(1978), no. 1, 106–119. MR**0512865****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. MR**0413592****8.**M. Morf,*Doubling algorithms for Toeplitz and related equations*, IEEE Trans. Information Theory (submitted).

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DOI:
https://doi.org/10.1090/S0273-0979-1979-14659-7