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Factorization Matrix Operator Functions by Bart Harm (14 results)
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US$ 15.42
Convert currencyUS$ 51.98 shipping from Germany to U.S.A.Quantity: 1 available
Add to basketCondition: Sehr gut. Zustand: Sehr gut | Seiten: 428 | Sprache: Englisch | Produktart: Bücher.
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US$ 83.00
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Add to basketPaperback. Condition: Brand New. 1979 edition. 240 pages. German language. 9.61x6.69x0.51 inches. In Stock.
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Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.
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Condition: New. pp. xii + 409 1st Edition.
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Factorization of Matrix and Operator Functions: The State Space Method (Operator Theory: Advances and Applications, 178)
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Add to basketBuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Thepresentbookdealswithvarioustypesoffactorizationproblemsformatrix and 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.
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Factorization of Matrix and Operator Functions: The State Space Method
Published by Birkhäuser Basel, Birkhäuser Basel Okt 2007, 2007
ISBN 10: 3764382678 ISBN 13: 9783764382674
Language: English
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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US$ 190.95
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Add to basketBuch. Condition: Neu. 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 Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 428 pp. Englisch.
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Factorization of Matrix and Operator Functions: The State Space Method
Published by Birkhäuser Basel Okt 2007, 2007
ISBN 10: 3764382678 ISBN 13: 9783764382674
Language: English
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
US$ 190.95
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Add to basketBuch. 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 systems 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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US$ 162.00
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Add to basketCondition: 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 formAn entirely new part is dev.
