ITERATIVE COMPUTATIONAL METHOD FOR COMPUTING THE PSEUDO-INVERSE OF A MATRIX.

M. A. Shalaby*, I. Abd El-Salam, Y. Z. Boutros

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An iterative computational method, based on the method of A. Ben Israel and D. Cohen (1966), for computing the pseudoinverse A** plus of a matrix A is developed. Singular value decomposition (SVD) is used to analyze its properties (covergence, stability, etc. ) and to compute the lower bound of the number of iterations. A careful error analysis is performed, and four new formulas are investigated that can be used directly to calculate the upper bounds on the error once the distribution of the singular values of A is known.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
EditorsAntonio Luque, A.R. Figueiras Vidal, J.M.R. Delgado
PublisherIEEE
Pages19-21
Number of pages3
ISBN (Print)0444878475
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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