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International Conference on Numerical Analysis and Its Applications

NAA 2000: Numerical Analysis and Its Applications pp 377–384Cite as

Positive Definite Solutions of the Equation X + A*X -n A=I

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

Abstract

The general nonlinear matrix equation X + A*X -n A I is discussed (n is a positive integer). Some necessary and sufficient conditions for existence a solution are given. Two methods for iterative computing a positive definite solution are investigated. Numerical experiments to illustrate the performance of the methods are reported.

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References

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Author information

Authors and Affiliations

  1. Laboratory Mathematical Modelling, Shoumen University, 9712, Shoumen, Bulgaria

    Vejdi Hassanov & Ivan Ivanov

Authors
  1. Vejdi Hassanov
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  2. Ivan Ivanov
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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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Hassanov, V., Ivanov, I. (2001). Positive Definite Solutions of the Equation X + A*X -n A=I . 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_44

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  • DOI: https://doi.org/10.1007/3-540-45262-1_44

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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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