Meromorphic functions and linear algebra

Meromorphic functions and linear algebra

by Nevanlinna, Olavi

Type Book
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This volume describes for the first time in monograph form important applications in numerical methods of linear algebra. The author presents new material and extended results from recent papers in a very readable style. The main goal of the book is to study the behavior of the resolvent of a matrix under the perturbation by low rank matrices. Whereas the eigenvalues (the poles of the resolvent) and the pseudospectra (the sets where the resolvent takes large values) can move dramatically under …

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Title Statements

  • Full title :Meromorphic functions and linear algebra / Nevanlinna, Olavi.

Summary

This volume describes for the first time in monograph form important applications in numerical methods of linear algebra. The author presents new material and extended results from recent papers in a very readable style. The main goal of the book is to study the behavior of the resolvent of a matrix under the perturbation by low rank matrices. Whereas the eigenvalues (the poles of the resolvent) and the pseudospectra (the sets where the resolvent takes large values) can move dramatically under such perturbations, the growth of the resolvent as a matrix-valued meromorphic function remains essen.

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Edition Statements

  • Publication Date:2003.

Publication Statements

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The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9780821832479, 0821832476
  • oclc:ocn956672186
  • LC Classification:QA331
  • Dewey Decimal:515/.982

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