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Computing the Inverse Matrix Hyperbolic Sine

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

We give necessary and sufficient conditions for solvability of the matrix equation sinhX = A in the complex and real cases and present some algorithms for computing one of these solutions. The numerical features of the algorithms are analysed along with some numerical tests.

Work supported in part by ISR and research network contract ERB FMRXCT- 970137.

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Author information

Authors and Affiliations

  1. Instituto Superior de Engenharia de Coimbra, Quinta da Nora, 3030, Coimbra, Portugal

    J. R. Cardoso

  2. Departamento de Matemática, Universidade de Coimbra, 3000, Coimbra, Portugal

    F. Silva Leite

Authors
  1. J. R. Cardoso
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  2. F. Silva Leite
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Cardoso, J.R., Silva Leite, F. (2001). Computing the Inverse Matrix Hyperbolic Sine. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_20

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  • DOI: https://doi.org/10.1007/3-540-45262-1_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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