Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses

S.K. Sen; E.V. Krishnamurthy

doi:10.1109/T-C.1974.223888

Publication
1974
Issue No. 2 - February
Abstract - Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses

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Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses

February 1974 (vol. 23 no. 2)

pp. 199-201

	ASCII Text	x
	S.K. Sen, E.V. Krishnamurthy, "Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses," IEEE Transactions on Computers, vol. 23, no. 2, pp. 199-201, February, 1974.

	BibTex	x
	@article{ 10.1109/T-C.1974.223888, author = {S.K. Sen and E.V. Krishnamurthy}, title = {Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses}, journal ={IEEE Transactions on Computers}, volume = {23}, number = {2}, issn = {0018-9340}, year = {1974}, pages = {199-201}, doi = {http://doi.ieeecomputersociety.org/10.1109/T-C.1974.223888}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - JOUR JO - IEEE Transactions on Computers TI - Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses IS - 2 SN - 0018-9340 SP199 EP201 EPD - 199-201 A1 - S.K. Sen, A1 - E.V. Krishnamurthy, PY - 1974 KW - Generalized inverse KW - Hermite-difference matrix KW - least squares g-inverse KW - LU-algorithm KW - minimum norm g-inverse KW - pseudo-inverse KW - redundant conrection. VL - 23 JA - IEEE Transactions on Computers ER -

S.K. Sen, Computer Centre, Indian Institute of Science

E.V. Krishnamurthy

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/T-C.1974.223888

A rank-augmnented LU-algorithm is suggested for computing a generalized inverse of a matrix. Initially suitable diagonal corrections are introduced in (the symmetrized form of) the given matrix to facilitate decomposition; a backward-correction scheme then yields a desired generalized inverse.

Index Terms:

Generalized inverse, Hermite-difference matrix, least squares g-inverse, LU-algorithm, minimum norm g-inverse, pseudo-inverse, redundant conrection.

Citation:

S.K. Sen, E.V. Krishnamurthy, "Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses," IEEE Transactions on Computers, vol. 23, no. 2, pp. 199-201, Feb. 1974, doi:10.1109/T-C.1974.223888

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