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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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The present book deals with 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, theory of job scheduling in operations research. The book systematically employs 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. This principle allows one to deal with different factorizations from one point of view. Covered are canonical factorization, minimal and non-minimal factorizations, pseudo-canonical factorization, and various types of degree one factorization.
Considerable attention is given to the matter of stability of factorization which in terms of the state space method involves stability of invariant subspaces.invariant subspaces.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreBirkhauser
- Data di pubblicazione2007
- ISBN 10 3764382678
- ISBN 13 9783764382674
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine409
- Contatto del produttorenon disponibile
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Factorization of Matrix and Operator Functions: The State Space Method
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Factorization Of Matrix And Operator Functions: The State Space Method (operator Theory: Advances And Applications / Linear Operators And Linear Systems)
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Factorization Of Matrix And Operator Functions: The State Space Method (operator Theory: Advances And Applications / Linear Operators And Linear Systems)
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Factorization of Matrix and Operator Functions
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Factorization of Matrix and Operator Functions
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Factorization of Matrix and Operator Functions
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Factorization of Matrix and Operator Functions: The State Space Method
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Condizione: 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. Codice articolo 344929966
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Factorization of Matrix and Operator Functions: The State Space Method
Print on DemandDa: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Buch. Condizione: 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. Codice articolo 9783764382674
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Factorization of Matrix and Operator Functions: The State Space Method
Da: AHA-BUCH GmbH, Einbeck, Germania
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Buch. Condizione: 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. Codice articolo 9783764382674
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Factorization of Matrix and Operator Functions: The State Space Method
Editore:
Birkhäuser Basel, Birkhäuser Basel Okt 2007, 2007
ISBN 10: 3764382678
ISBN 13: 9783764382674
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Buch. Condizione: 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. Codice articolo 9783764382674
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