| 书目名称 | Partially Specified Matrices and Operators: Classification, Completion, Applications | | 编辑 | Israel Gohberg,Marinus A. Kaashoek,Frederik Schage | | 视频video | | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | This book is devoted to a new direction in linear algebra and operator theory that deals with the invariants of partially specified matrices and operators, and with the spectral analysis of their completions. The theory developed centers around two major problems concerning matrices of which part of the entries are given and the others are unspecified. The first is a classification problem and aims at a simplification of the given part with the help of admissible similarities. The results here may be seen as a far reaching generalization of the Jordan canonical form. The second problem is called the eigenvalue completion problem and asks to describe all possible eigenvalues and their multiplicities of the matrices which one obtains by filling in the unspecified entries. Both problems are also considered in an infinite dimensional operator framework. A large part of the book deals with applications to matrix theory and analysis, namely to stabilization problems in mathematical system theory, to problems of Wiener-Hopf factorization and interpolation for matrix polynomials and rational matrix functions, to the Kronecker structure theory of linear pencils, and to non everywhere defin | | 出版日期 | Book 1995 | | 关键词 | Eigenvalue; Interpolation; Matrix; Matrix Theory; algebra; analysis; linear algebra; operator; operator theo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-9100-4 | | isbn_softcover | 978-3-0348-9906-2 | | isbn_ebook | 978-3-0348-9100-4Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Birkhäuser Verlag 1995 |
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