Factorization of Matrix and Operator Functions: The State Space Method

Language: English

Published by Birkhäuser Basel, Birkhäuser Okt 2007, 2007

3764382678 / 9783764382674

Series: Book 24 of 132 - Operator Theory: Advances and Applications

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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.

Seller Inventory # 9783764382674

Title
Factorization of Matrix and Operator Functions: The State Space Method
Author
Harm Bart
Publisher
Birkhäuser Basel, Birkhäuser Okt 2007
Publication year
2007
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3764382678
ISBN 13
9783764382674
Item weight
916 grams
Dimensions
250x175x29 mm
Series
Book 24 of 132: Operator Theory: Advances and Applications

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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