Condition number related to the outer inverse of a complex matrix

  • Mosić D
  • Djordjević D
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Abstract

In this paper we obtain the formula for computing the condition number of a complex matrix, which is related to the outer generalized inverse of a given matrix. We use the Schur decomposition of a matrix. We characterize the spectral norm and the Frobenius norm of the relative condition number of the generalized inverse, and the level-2 condition number of the generalized inverse. The sensitivity for the generalized Drazin-inverse solution of linear systems is presented. We also present the structured perturbation of the generalized inverse. © 2009 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Condition number
  • Outer generalized inverse
  • Schur decomposition

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Authors

  • Dijana Mosić

  • Dragan S. Djordjević

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