Factorization of Matrix and Operator Functions: The State Space Method (Record no. 38604)
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| 000 -LEADER | |
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| fixed length control field | 03352n a2200433#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5000239 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140640.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783764382681 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-7643-8268-1 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 978-3-7643-8268-1 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKF |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT037000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.724 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos) |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bart, H. |
| Fuller form of name | (Harm), |
| Dates associated with a name | 1942- |
| 9 (RLIN) | 46113 |
| 245 10 - TITLE STATEMENT | |
| Title | Factorization of Matrix and Operator Functions: The State Space Method |
| Medium | [electronic resource]/ |
| Statement of responsibility, etc. | by Harm Bart, André C. M. Ran, Israel Gohberg, Marinus A. Kaashoek. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Basel: |
| Name of publisher, distributor, etc. | Birkhäuser Basel, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Other physical details | digital. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Operator Theory: Advances and Applications, Linear Operators and Linear Systems; |
| Volume/sequential designation | 178 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted 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 . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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 . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics. |
| 9 (RLIN) | 43458 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrix theory |
| 9 (RLIN) | 9116 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Operator theory. |
| 9 (RLIN) | 37654 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Matemáticas Gerais- |
| Description subdivision | (inclusive alguns textos elementares sobre assuntos específicos) |
| Linkage | 23752 |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ran, André C. M. |
| 9 (RLIN) | 9146 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gohberg, I. |
| Fuller form of name | (Israel), |
| Dates associated with a name | 1928- |
| 9 (RLIN) | 44125 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kaashoek, M. A. |
| 9 (RLIN) | 46114 |
| 710 1# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service). |
| 9 (RLIN) | 8857 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783764382674 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Operator Theory: Advances and Applications, Linear Operators and Linear Systems; |
| Volume/sequential designation | 178 |
| 9 (RLIN) | 9149 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-3-7643-8268-1">http://dx.doi.org/10.1007/978-3-7643-8268-1</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | E-Book |
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