Partially Specified Matrices and Operators

Classification, Completion, Applications

Partially Specified Matrices and Operators
Israel Gohberg, Marinus A. Kaa ...
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January 31, 2024 | History

Partially Specified Matrices and Operators

Classification, Completion, Applications

This book explores a new direction in linear algebra and operator theory dealing 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 problem of classification of partially specified matrices, and the results here may be seen as a far reaching generalization of the Jordan canonical form. The second problem is the eigenvalue completion problem, which asks for a description of 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 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 defined operators. The book will appeal to a wide group of mathematicians and engineers. Much of the material can be used in advanced courses in matrix and operator theory.

Publish Date
Publisher
Island Press
Language
English

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Book Details


The Physical Object

Pagination
348
Weight
0.555

Edition Identifiers

Open Library
OL50680047M
ISBN 13
9783034891011

Work Identifiers

Work ID
OL21049521W

Source records

Better World Books record

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January 31, 2024 Created by ImportBot Imported from Better World Books record