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Factorization of matrix and operator functions : the state space method /

"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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Bart, H. (Harm), 1942-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel ; Boston : Birkhäuser, ©2008.
Colección:Operator theory, advances and applications ; v. 178.
Operator theory, advances and applications. Linear operators and linear systems.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:"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."--Jacket
Descripción Física:1 online resource (xii, 409 pages)
Bibliografía:Includes bibliographical references (pages 393-400).
ISBN:9783764382681
3764382686
3764382678
9783764382674
9780817682675
0817682678
9780817682682
0817682686
9786611140984
6611140980
Acceso:University staff and students only. Requires University Computer Account login off-campus.