Condition numbers and structured perturbation of the W-weighted Drazin inverse

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)185-194
Journal / PublicationApplied Mathematics and Computation
Volume165
Issue number1
Publication statusPublished - 6 Jun 2005

Abstract

We give the explicit condition number formulas for the W-weighted Drazin inverse of a rectangular matrix. We also present the structured perturbation of the W-weighted Drazin inverse, and consider the perturbation for the W-weighted Drazin inverse of a rectangular matrix and give an explicit expression for the W-weighted Drazin inverse of a perturbed matrix under some certain conditions. Finally, we discuss the minimum quality of the condition number. © 2004 Elsevier Inc. All rights reserved.

Research Area(s)

  • Condition number, Perturbation, W-Weighted Drazin inverse