Factorization of Matix and Operator Functions: The State Space Method

Bart, Harm/ Gohberg, Israel/ Kaashoek, Marinus A./ Ran, Andre C. M.

ISBN 10: 3764382678 / ISBN 13: 9783764382674

Editore: Birkhauser, 2008

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1st edition. 409 pages. 9.00x6.50x1.00 inches. In Stock.

Codice articolo x-3764382678

Dati bibliografici

• Titolo: Factorization of Matix and Operator Functions: The State Space Method
• Editore: Birkhauser
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764382678
• ISBN 13: 9783764382674
• Rilegatura: Hardcover
• Condizione: Brand New

Descrizione articolo

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.