Released as a part of Fields Institute Monographs. Introduction to the basics of value distribution theroy of meromorphic scalaf functions. Then it introduces a new nonlinear tool for linear algebra, the total logarithmic size of a matrix. Text in English. 136 pp.

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Bibliographic Details

Title

Meromorphic Functions and Linear Algebra (Fields Institute Monographs)

Publisher

American Mathematical Society, 81

Publication Date

2003

Language

English

ISBN 10

0821832476

ISBN 13

9780821832479

Binding

Hardcover

Edition

1st Edition.

Condition

Fine

Seller catalogs

Mathematics

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Synopsis

This monograph proposes that viewing the resolvent of a matrix as a meromorphic function rather than just analytic outside the eigenvalues provides new insight, and develops a new non-linear tool for linear algebra the total logarithmic size of a matrix which allows the author to generalization his uncle's first main theorem from the scalar valued case for matrix valued functions. The author then proves the robustness of the growth of the resolvent as a meromorphic function under low rank perturbations, and studies the growth of a meromorphic function by approximating rational functions. Annotation (c) Book News, Inc., Portland, OR (booknews.com)

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