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| 001 | 5000239 | ||
| 003 | DE-He213 | ||
| 005 | 20221213140640.0 | ||
| 007 | cr|||||||||||| | ||
| 008 | 100301s2008 sz | s |||| 0|eng d | ||
| 020 | _a9783764382681 | ||
| 024 | 7 |
_a10.1007/978-3-7643-8268-1 _2doi |
|
| 035 | _a978-3-7643-8268-1 | ||
| 072 | 7 |
_aPBKF _2bicssc |
|
| 072 | 7 |
_aMAT037000 _2bisacsh |
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| 082 | 0 | 4 | _a515.724 |
| 090 | _amg | ||
| 100 | 1 |
_aBart, H. _q(Harm), _d1942- _946113 |
|
| 245 | 1 | 0 |
_aFactorization of Matrix and Operator Functions: The State Space Method _h[electronic resource]/ _cby Harm Bart, André C. M. Ran, Israel Gohberg, Marinus A. Kaashoek. |
| 260 |
_aBasel: _bBirkhäuser Basel, _c2008. |
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| 300 | _bdigital. | ||
| 490 | 0 |
_aOperator Theory: Advances and Applications, Linear Operators and Linear Systems; _v178 |
|
| 505 | 0 | _aPreface -- 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 . | |
| 520 | _aThe 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 . | ||
| 650 | 0 |
_aMathematics. _943458 |
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| 650 | 0 |
_aMatrix theory _99116 |
|
| 650 | 0 |
_aOperator theory. _937654 |
|
| 697 |
_aMatemáticas Gerais- _x(inclusive alguns textos elementares sobre assuntos específicos) _923752 |
||
| 700 | 0 |
_aRan, André C. M. _99146 |
|
| 700 | 1 |
_aGohberg, I. _q(Israel), _d1928- _944125 |
|
| 700 | 1 |
_aKaashoek, M. A. _946114 |
|
| 710 | 1 |
_aSpringerLink (Online service). _98857 |
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| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783764382674 |
| 830 | 0 |
_aOperator Theory: Advances and Applications, Linear Operators and Linear Systems; _v178 _99149 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-7643-8268-1 |
| 942 |
_2impa _cEBK |
||
| 999 |
_aBART, H.; RAN, André C. M.; GOHBERG, I.; KAASHOEK, M. A. <b> Factorization of Matrix and Operator Functions: The State Space Method. </b> Basel: Birkhäuser Basel, 2008. (Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 178). ISBN 9783764382681. Disponível em: <http://dx.doi.org/10.1007/978-3-7643-8268-1 > _c38604 _d38604 |
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