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 of co...

ver descrição completa

Na minha lista:
Detalhes bibliográficos
Principais autores: Bart, Harm., Ran, André C. M., Gohberg, Israel., Kaashoek, Marinus A., SpringerLink (Online service)
Formato: Digital
Publicado em:
Assuntos:
Matrizes (Matemática).
Sistemas lineares.
Matemática.
Endereço do item:http://dx.doi.org/10.1007/978-3-7643-8268-1
Tags: Adicionar Tag
Sem tags, seja o primeiro a adicionar uma tag!
id oai:localhost:123456789-212159
record_format dspace
spelling oai:localhost:123456789-2121592023-07-17T15:13:19Z Factorization of Matrix and Operator Functions: The State Space Method / Bart, Harm. Ran, André C. M. Gohberg, Israel. Kaashoek, Marinus A. SpringerLink (Online service) Matrizes (Matemática). Sistemas lineares. Matemática. 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. 0 2022-10-11T17:33:47Z 2022-10-11T17:33:47Z 2008. Digital 512.643 F142 9783764382681 197895 http://dx.doi.org/10.1007/978-3-7643-8268-1 http://dx.doi.org/10.1007/978-3-7643-8268-1
institution Acervo SISBI
collection SIGAA
topic Matrizes (Matemática).
Sistemas lineares.
Matemática.
spellingShingle Matrizes (Matemática).
Sistemas lineares.
Matemática.
Bart, Harm.
Ran, André C. M.
Gohberg, Israel.
Kaashoek, Marinus A.
SpringerLink (Online service)
Factorization of Matrix and Operator Functions: The State Space Method /
description 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.
format Digital
author Bart, Harm.
Ran, André C. M.
Gohberg, Israel.
Kaashoek, Marinus A.
SpringerLink (Online service)
author_facet Bart, Harm.
Ran, André C. M.
Gohberg, Israel.
Kaashoek, Marinus A.
SpringerLink (Online service)
author_sort Bart, Harm.
title Factorization of Matrix and Operator Functions: The State Space Method /
title_short Factorization of Matrix and Operator Functions: The State Space Method /
title_full Factorization of Matrix and Operator Functions: The State Space Method /
title_fullStr Factorization of Matrix and Operator Functions: The State Space Method /
title_full_unstemmed Factorization of Matrix and Operator Functions: The State Space Method /
title_sort factorization of matrix and operator functions: the state space method /
publishDate 2022
url http://dx.doi.org/10.1007/978-3-7643-8268-1
work_keys_str_mv AT bartharm factorizationofmatrixandoperatorfunctionsthestatespacemethod
AT ranandrecm factorizationofmatrixandoperatorfunctionsthestatespacemethod
AT gohbergisrael factorizationofmatrixandoperatorfunctionsthestatespacemethod
AT kaashoekmarinusa factorizationofmatrixandoperatorfunctionsthestatespacemethod
AT springerlinkonlineservice factorizationofmatrixandoperatorfunctionsthestatespacemethod
_version_ 1771688720934633472

Registros relacionados