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Factorization of matrix and...
"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."--Jacket
Monografía
monografia Rebiun30150535 https://catalogo.rebiun.org/rebiun/record/Rebiun30150535 m o d cr cn||||||||| 080715s2008 sz ob 001 0 eng d 228417417 230744221 244959998 288178028 370725310 468437037 607346766 613470256 648365660 739152349 880315259 961588217 962602224 966210657 987726516 988415258 992005700 994716023 1005747206 1035708013 1037687260 1038568065 1055338739 1058044108 1066426733 1078841357 1081211202 1097330099 1097334041 1112573787 9783764382681 3764382686 3764382678 9783764382674 9780817682675 alk. paper) 0817682678 alk. paper) 9780817682682 e-bk.) 0817682686 e-bk.) 9786611140984 6611140980 10.1007/978-3-7643-8268-1 doi AU@ 000043372582 AU@ 000048701829 DEBBG BV044129144 DEBSZ 276401883 DEBSZ 396172261 DEBSZ 430480709 DKDLA 820120-katalog:000616854 DKDLA 820120-katalog:000663029 HEBIS 198462794 NLGGC 382147480 NZ1 12437191 978-3-7643-8267-4 Springer http://www.springerlink.com GW5XE eng pn GW5XE OCLCQ YNG CSU LEAUB N$T COO NUI DKU UV0 UWW E7B UBC MNU IDEBK EBLCP OCLCO OCLCQ A7U OCLCQ OCLCF DEBSZ OCLCQ SLY WTU YDXCP OCLCQ AZK LOA COCUF UAB Z5A MOR PIFAG ZCU OTZ OCLCQ MERUC ESU OCLCQ VT2 U3W STF WRM CEF ICG VTS OCLCQ INT AU@ OCLCQ WYU YOU CANPU TKN OCLCQ DKC OCLCQ CNTRU OCLCQ HS0 ERF OCLCQ OCLCO OCLCQ MAT 037000 bisacsh PBKF bicssc 515/.7246 22 31.46 bcl O151. 21 clc O177 clc Factorization of matrix and operator functions the state space method Harm Bart [and others] Basel Boston Birkhäuser 2008 Basel Boston Basel Boston Birkhäuser 1 online resource (xii, 409 pages) 1 online resource (xii, 409 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Operator theory, advances and applications v. 178. Linear operators & linear systems Includes bibliographical references (pages 393-400) Motivating Problems, Systems and Realizations -- Motivating Problems -- Operator Nodes, Systems, and Operations on Systems -- Various Classes of Systems -- Realization and Linearization of Operator Functions -- Factorization and Riccati Equations -- Canonical Factorization and Applications -- Minimal Realization and Minimal Factorization -- Minimal Systems -- Minimal Realizations and Pole-Zero Structure -- Minimal Factorization of Rational Matrix Functions -- Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling -- Factorization into Degree One Factors -- Complete Factorization of Companion Based Matrix Functions -- Quasicomplete Factorization and Job Scheduling -- Stability of Factorization and of Invariant Subspaces -- Stability of Spectral Divisors -- Stability of Divisors -- Factorization of Real Matrix Functions "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."--Jacket English Matrices Operator-valued functions Factorization (Mathematics) State-space methods Matrices Fonctions à valeurs opératorielles Factorisation Méthodes de l'espace état MATHEMATICS- Functional Analysis Factorization (Mathematics) State-space methods Matrices Fonctions à valeurs opératorielles Factorisation Espace état, Méthodes de l'. Operator-valued functions Factorization (Mathematics) Matrices Operator-valued functions State-space methods Electronic books Bart, H. Harm) 1942-) Print version Factorization of matrix and operator functions. Basel ; Boston : Birkhäuser, 2008 3764382678 9783764382674 (DLC) 2007933911 (OCoLC)153582022 Operator theory, advances and applications v. 178 Operator theory, advances and applications. Linear operators and linear systems