| 书目名称 | Factorization of Matrix and Operator Functions: The State Space Method |
| 编辑 | Harm Bart,André C. M. Ran,Marinus A. Kaashoek |
| 视频video | |
| 概述 | Second book which is devoted to the state space factorization theory; the first appeared in 1979 as volume 1 of this book series; it contains a substantial selection from the first book, in a reorgani |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | Thepresentbookdealswithvarioustypesoffactorizationproblemsformatrixand operator functions. The problems appear in di?erent areasof mathematics and its applications. A uni?ed approach to treat them is developed. The main theorems yield explicit necessaryand su?cient conditions for the factorizations to exist and explicit formulas for the corresponding factors. Stability of the factors relative to a small perturbation of the original function is also studied in this book. The unifying theory developed in the book is based on a geometric approach which has its origins in di?erent ?elds. A number of initial steps can be found in: (1) the theory of non-selfadjoint operators, where the study of invariant s- spaces of an operator is related to factorization of the characteristic matrix or operator function of the operator involved, (2) mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a fact- ization of the associated transfer function, and (3) thefactorizationtheoryofmatrixpolynomialsintermsofinvariantsubspaces of a corresponding linearization. In all three cases a state space representation of th |
| 出版日期 | Book 2008 |
| 关键词 | Matrix; convolution; factorization; matrix function; state space method; matrix theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-7643-8268-1 |
| isbn_ebook | 978-3-7643-8268-1Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Birkhäuser Basel 2008 |
发表于 2025-3-21 18:08:42
