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Relative Perturbations, Rank Stability and Zero Patterns of Matrices

In: Proceedings of the Conference on Applied Mathematics and Scientific Computing

Author

Listed:
  • Sanja Singer

    (University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture)

  • Saša Singer

    (University of Zagreb, Department of Mathematics)

Abstract

A matrix A is defined to be rank stable if rank(A) is unchanged for all relatively small perturbations of its elements. In this paper we investigate some properties and zero patterns of such matrices.

Suggested Citation

  • Sanja Singer & Saša Singer, 2005. "Relative Perturbations, Rank Stability and Zero Patterns of Matrices," Springer Books, in: Zlatko Drmač & Miljenko Marušić & Zvonimir Tutek (ed.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, pages 283-292, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-3197-7_21
    DOI: 10.1007/1-4020-3197-1_21
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