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Factorization of Matrix and Operator Functions: The State Space Method

Factorization of Matrix and Operator Functions: The State Space Method
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Field name Details
Dewey Class 515.724
Title Factorization of Matrix and Operator Functions: The State Space Method (EB) / by Harm Bart, André C. M. Ran, Israel Gohberg, Marinus A. Kaashoek.
Author Bart, Harm
Added Personal Name Ran, André C. M. author.
Gohberg, Israel , 1928- author.
Kaashoek, Marinus A. author.
Other name(s) SpringerLink (Online service)
Publication Basel : Birkhäuser , 2008.
Physical Details : online resource.
Series Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 178
ISBN 9783764382681
Summary Note 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.:
Contents note Preface -- Motivating Problems -- Operator Nodes, Systems, Operations on Systems -- Realization and Linearization -- Factorization and Riccati Equations -- Canonical Factorization -- Minimal Systems -- Minimal Realization and Pole-Zero Structure -- Degree One Factors -- Factorization and Job Scheduling -- Stability of Factorization and of Invariant Subspaces -- Factorization of Real Matrix Functions -- Bibliography -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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