Factorization Matrix Operator Functions by Bart Harm (14 results)
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Paperback. Condition: Brand New. 1979 edition. 240 pages. German language. 9.61x6.69x0.51 inches. In Stock.
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Series: Operator Theory: Advances and Applications, Book 24 of 132. Book 24 of 132 - Operator Theory: Advances and Applications
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Published by Springer 2007
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Condition: Used. pp. xii + 409 1st Edition.
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Condition: Used. pp. xii + 409.
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Condition: Used. pp. xii + 409.
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Published by Birkhäuser 2007
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Series: Operator Theory: Advances and Applications, Book 24 of 132. Book 24 of 132 - Operator Theory: Advances and Applications
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Published by Birkhäuser Basel, Birkhäuser 2007
Series: Operator Theory: Advances and Applications, Book 24 of 132. Book 24 of 132 - Operator Theory: Advances and Applications
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Thepresentbookdealswithvarioustypesoffactorizationproblemsformatrixand operator functions. The problems appear in di erent areasof mathematics and its applications. A uni ed approach to treat them is developed. The main theorems yield explicit necessaryan…d su cient conditions for the factorizations to exist and explicit formulas for the corresponding factors. Stability of the factors relative to a small perturbation of the original function is also studied in this book. The unifying theory developed in the book is based on a geometric approach which has its origins in di erent elds. A number of initial steps can be found in: (1) the theory of non-selfadjoint operators, where the study of invariant s- spaces of an operator is related to factorization of the characteristic matrix or operator function of the operator involved, (2) mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a fact- ization of the associated transfer function, and (3) thefactorizationtheoryofmatrixpolynomialsintermsofinvariantsubspaces of a corresponding linearization. In all three cases a state space representation of the function to be factored is used, and the factors are expressed in state space form too. We call this approach the state space method. It hasa largenumber of applications.For instance, besides the areasreferred to above, Wiener-Hopf factorizations of some classes of symbols can also be treated by the state space method.
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Published by Birkh?user 2007
Series: Operator Theory: Advances and Applications, Book 24 of 132. Book 24 of 132 - Operator Theory: Advances and Applications
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Published by Birkhäuser Basel Okt 2007 2007
Series: Operator Theory: Advances and Applications, Book 24 of 132. Book 24 of 132 - Operator Theory: Advances and Applications
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical s…ystems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions. 428 pp. Englisch.
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Published by Birkhäuser Basel 2007
Series: Operator Theory: Advances and Applications, Book 24 of 132. Book 24 of 132 - Operator Theory: Advances and Applications
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Second book which is devoted to the state space factorization theory the first appeared in 1979 as volume 1 of this book series it contains a substantial selection from the first book, in a reorganized and updated for…mAn entirely new part is dev.
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Published by Birkhäuser Basel, Birkhäuser Okt 2007 2007
Series: Operator Theory: Advances and Applications, Book 24 of 132. Book 24 of 132 - Operator Theory: Advances and Applications
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Thepresentbookdealswithvarioustypesoffactorizationproblemsformatrixand operator functions. The problems appear in di erent areasof mathematics and its applications. A uni ed approach to treat them is developed. The main theorems yield explicit… necessaryand su cient conditions for the factorizations to exist and explicit formulas for the corresponding factors. Stability of the factors relative to a small perturbation of the original function is also studied in this book. The unifying theory developed in the book is based on a geometric approach which has its origins in di erent elds. A number of initial steps can be found in: (1) the theory of non-selfadjoint operators, where the study of invariant s- spaces of an operator is related to factorization of the characteristic matrix or operator function of the operator involved, (2) mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a fact- ization of the associated transfer function, and (3) thefactorizationtheoryofmatrixpolynomialsintermsofinvariantsubspaces of a corresponding linearization. In all three cases a state space representation of the function to be factored is used, and the factors are expressed in state space form too. We call this approach the state space method. It hasa largenumber of applications.For instance, besides the areasreferred to above, Wiener-Hopf factorizations of some classes of symbols can also be treated by the state space method.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 428 pp. Englisch.
