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Topics in Numerical Analysis pp 105–118Cite as

Iterative Methods for Eigenvalue Problems with Nondifferentiable Normalized Condition of a General Complex Matrix

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Part of the book series: Computing Supplementa ((COMPUTING,volume 15))

Abstract

In this paper, we consider iterative methods with line search for eigenvalue problems of a general complex matrix. The eigenvalue problem is written as a system of complex nonlinear equations with nondifferentiable normalized condition. Convergence theorems for iterations are established. Finally, some numerical examples are presented to demonstrate the effectiveness of the iterative methods.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Osaka Women’s University, Sakai, Osaka, 590-0035, Japan

    K. Ishihara

Authors
  1. K. Ishihara
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Editor information

Editors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Karlsruhe, Karlsruhe, Germany

    Goetz Alefeld

  2. Department of Mathematical Sciences, Shimane University, Matsue, Japan

    Xiaojun Chen

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© 2001 Springer-Verlag Wien

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Ishihara, K. (2001). Iterative Methods for Eigenvalue Problems with Nondifferentiable Normalized Condition of a General Complex Matrix. In: Alefeld, G., Chen, X. (eds) Topics in Numerical Analysis. Computing Supplementa, vol 15. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6217-0_9

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  • DOI: https://doi.org/10.1007/978-3-7091-6217-0_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83673-6

  • Online ISBN: 978-3-7091-6217-0

  • eBook Packages: Springer Book Archive

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