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Computing
Article . 1969 . Peer-reviewed
License: Springer TDM
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On computing generalized inverses

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1969 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 4, pages 139-152 (issn: 0010-485X, eissn: 1436-5057, Copyright policy )
Authors: Reginald P. Tewarson;

doi: 10.1007/bf02234761

On computing generalized inverses

Abstract

A method for computing the generalized inverse of a matrix is described, which makes use of elementary orthogonal matrices and theGaussian elimination. The method also yields orthonormal bases for the ranges and the null spaces of the matrix and the generalized inverse. Modifications of the method for the solution of simultaneous linear equations are given. Compact storage schemes, in the case of sparse matrices, are also described.

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Keywords

numerical analysis

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    citations
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    		 15
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Average
Top 10%
Average
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