Factorization of Matrix and Operator Functions: The State Space Method (Operator Theory: Advances and Applications, 178)

Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C.M.

ISBN 10: 3764382678 / ISBN 13: 9783764382674

Editore: Birkhäuser, 2007

In. Codice articolo ria9783764382674_new

Riassunto:

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.

Dalla quarta di copertina:

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.

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Titolo: Factorization of Matrix and Operator ...
Casa editrice: Birkhäuser
Data di pubblicazione: 2007
Legatura: Rilegato
Condizione: New