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

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

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 proceeding › Conference contribution › peer-review

1 Scopus citations

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 language	English (US)
Title of host publication	Unknown Host Publication Title
Editors	Antonio Luque, A.R. Figueiras Vidal, J.M.R. Delgado
Publisher	IEEE
Pages	19-21
Number of pages	3
ISBN (Print)	0444878475
State	Published - 1985
Externally published	Yes

ASJC Scopus subject areas

General Engineering

Cite this

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title = "ITERATIVE COMPUTATIONAL METHOD FOR COMPUTING THE PSEUDO-INVERSE OF A MATRIX.",

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.",

author = "Shalaby, {M. A.} and El-Salam, {I. Abd} and Boutros, {Y. Z.}",

year = "1985",

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editor = "Antonio Luque and {Figueiras Vidal}, A.R. and J.M.R. Delgado",

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T1 - ITERATIVE COMPUTATIONAL METHOD FOR COMPUTING THE PSEUDO-INVERSE OF A MATRIX.

AU - Shalaby, M. A.

AU - El-Salam, I. Abd

AU - Boutros, Y. Z.

PY - 1985

Y1 - 1985

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0022247932

SN - 0444878475

SP - 19

EP - 21

BT - Unknown Host Publication Title

A2 - Luque, Antonio

A2 - Figueiras Vidal, A.R.

A2 - Delgado, J.M.R.

PB - IEEE

ER -

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

Abstract

ASJC Scopus subject areas

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