Left versus right canonical Wiener-Hopf factorization and realization |
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Authors: | G. J. Groenewald M. A. Petersen Y. Zucker |
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Affiliation: | (1) Dept. of Math. and Applied Math., University of the Western Cape, Private Bag X17, 7535 Bellville, South Africa;(2) Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Israel |
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Abstract: | For an arbitrary rational matrix function, not necessarily analytic at infinity, the existence of a right canonical Wiener-Hopf factorization is characterized in terms of a left canonical Wiener-Hopf factorization. Formulas for the factors in a right factorization are given in terms of the formulas for the factors in a given left factorization. All formulas are based on a special representation of a rational matrix function involving a quintet of matrices. |
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Keywords: | 47A68 47A56 47A62 |
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