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Linear and Multilinear Algebra Volume 29, 1991 - Issue 3-4
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Original Articles

On symmetric factorizations of rational matrix functions

André C. M. Ran Faculteit Wiskunde en Informatica, Vrije Universiteit, De Boelelaan 1081 a, Amsterdam, HV, 1081, The Netherlands
&
Leiba Rodman Department of Mathematics, The College of William and Mary, Williamsburg, VA, 23187-8795
Pages 243-261 | Received 10 Aug 1990, Published online: 30 May 2007

Citations (10)

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Read on this site (1)

Leonid Lerer & Leiba Rodman. (1996) Symmetric factorizations and localization of zeroes of rational matrix functions. Linear and Multilinear Algebra 40:3, pages 259-281.
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Articles from other publishers (9)

Qing-Chang Zhong. (2005) -spectral factorization of regular para-Hermitian transfer matrices . Automatica 41:7, pages 1289-1293.
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Qing-Chang Zhong. (2005) J-SPECTRAL FACTORIZATION VIA SIMILARITY TRANSFORMATIONS. IFAC Proceedings Volumes 38:1, pages 339-344.
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L Lerer, M.A Petersen & A.C.M Ran. (2004) Existence of minimal nonsquare J-symmetric factorizations for self-adjoint rational matrix functions. Linear Algebra and its Applications 379, pages 159-178.
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A.C.M. Ran. (2003) Necessary and sufficient conditions for existence of J-spectral factorization for para-Hermitian rational matrix functions. Automatica 39:11, pages 1935-1939.
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I. Karelin, L. Lerer & A. C. M. Ran. 2001. Recent Advances in Operator Theory. Recent Advances in Operator Theory 319 360 .
D. J. Clements. (2000) A State-Space Approach to Indefinite Spectral Factorization. SIAM Journal on Matrix Analysis and Applications 21:3, pages 743-767.
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André Ran & Peter Zizler. (1997) On self-adjoint matrix polynomials with constant signature. Linear Algebra and its Applications 259, pages 133-153.
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M. A. Kaashoek, A. C. M. Ran & L. Rodman. (1993) Local minimal factorizations of rational matrix functions in terms of null and pole data: Formulas for factors. Integral Equations and Operator Theory 16:1, pages 98-130.
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AndréC.M. Ran, Leiba Rodman & Jonathan E. Rubin. (1993) Direct complements of invariant lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions. Linear Algebra and its Applications 180, pages 61-94.
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