Mathematical Notes

, Volume 62, Issue 4, pp 515–519 | Cite as

Pseudo-skeleton approximations by matrices of maximal volume

  • S. A. Goreinov
  • N. L. Zamarashkin
  • E. E. Tyrtyshnikov
Brief Communications

Key words

pseudo-skeleton approximation volume of a matrix pseudo-inverse pseudo-skeleton component support submatrix 

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References

  1. 1.
    E. E. Tyrtyshnikov, in:Numerical Analysis and Its Applications. Proceedings of WNAA-96, Vol. 1196, Lecture Notes in Comput. Sci., Springer-Verlag, New York (1996), pp. 505–516.Google Scholar
  2. 2.
    S. A. Goreinov, E. E. Tyrtyshnikov, and A. Yu. Yeremin, “Matrix-free iterative solution strategies for large dense linear systems,”Numer. Linear Algebra Appl. (to appear).Google Scholar
  3. 3.
    S. A. Goreinov, N. L. Zamarashkin, and E. E. Tyrtyshnikov,Dokl. Ross. Akad. Nauk [Russian Math. Dokl.],343, No. 2, 151–152 (1995).MathSciNetGoogle Scholar
  4. 4.
    S. A. Goreinov, E. E. Tyrtyshnikov, and N. L. Zamarashkin, “A theory of pseudo-skeleton approximations,”Linear Algebra Appl. (to appear).Google Scholar
  5. 5.
    D. Gaier,Lectures on Complex Approximation, Birkhäuser, Boston (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • S. A. Goreinov
    • 1
  • N. L. Zamarashkin
    • 1
  • E. E. Tyrtyshnikov
    • 1
  1. 1.Institute for Computational MathematicsRussian Academy of SciencesRussia

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