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Factorization of Matrix and Operator Functions: The State Space Method

2007-12-20 Mathematics
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Release : 2007-12-20
Genre : Mathematics
Kind : eBook
Book Rating : 686/5 ( reviews)

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Book Synopsis Factorization of Matrix and Operator Functions: The State Space Method by : Harm Bart

Download or read book Factorization of Matrix and Operator Functions: The State Space Method written by Harm Bart. This book was released on 2007-12-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Factorization of Matrix and Operator Functions: The State Space Method

2009-09-03 Mathematics
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Release : 2009-09-03
Genre : Mathematics
Kind : eBook
Book Rating : 911/5 ( reviews)

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Book Synopsis Factorization of Matrix and Operator Functions: The State Space Method by : Harm Bart

Download or read book Factorization of Matrix and Operator Functions: The State Space Method written by Harm Bart. This book was released on 2009-09-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A State Space Approach to Canonical Factorization with Applications

2011-02-09 Mathematics
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Release : 2011-02-09
Genre : Mathematics
Kind : eBook
Book Rating : 53X/5 ( reviews)

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Book Synopsis A State Space Approach to Canonical Factorization with Applications by : Harm Bart

Download or read book A State Space Approach to Canonical Factorization with Applications written by Harm Bart. This book was released on 2011-02-09. Available in PDF, EPUB and Kindle. Book excerpt: The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.

Minimal Factorization of Matrix and Operator Functions

1979 Juvenile Nonfiction
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Release : 1979
Genre : Juvenile Nonfiction
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Minimal Factorization of Matrix and Operator Functions by : BART

Download or read book Minimal Factorization of Matrix and Operator Functions written by BART. This book was released on 1979. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes

2015-04-30 Mathematics
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Release : 2015-04-30
Genre : Mathematics
Kind : eBook
Book Rating : 350/5 ( reviews)

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Book Synopsis Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes by : Daniel Alpay

Download or read book Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes written by Daniel Alpay. This book was released on 2015-04-30. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.

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