A simple algorithm for computing the generalized inverse of a matrix

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

A simple algorithm for computing the generalized inverse of a matrix

Full text

Pdf (658 KB)

Source

Communications of the ACM archive
Volume 9 , Issue 5 (May 1966) table of contents

Pages: 381 - 385

Year of Publication: 1966

ISSN:0001-0782

Authors

B. Rust	Oak Ridge Gaseous Diffusion Plant, Oak Ridge, TN
W. R. Burrus	Oak Ridge National Laboratory, Oak Ridge, TN
C. Schneeberger	Oak Ridge National Laboratory, Oak Ridge, TN; and Univ. of Michigan

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 16, Downloads (12 Months): 77, Citation Count: 3

Additional Information:

references cited by collaborative colleagues

Tools and Actions:	Request Permissions Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/355592.365659 What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	PENROSE, Z. A generalized inverse for matrices. Proc. Cambridge Philos. Soe. 51 (1954).
	2	L. Duane Pyle, Generalized Inverse Computations Using the Gradient Projection Method, Journal of the ACM (JACM), v.11 n.4, p.422-428, Oct. 1964 [doi>10.1145/321239.321243]
	3	A. Ben-Israel , S. J. Wersan, An Elimination Method for Computing the Generalized Inverse of an Arbitrary Complex Matrix, Journal of the ACM (JACM), v.10 n.4, p.532-537, Oct. 1963 [doi>10.1145/321186.321197]
	4	GOLUB, G. Numerical methods for solving linear least squares problems. Numer. Math. 7 (1965).
	5	BEN-ISRAEL, A., AND CHARNES, A. Contribution to the theory of generalized inverses. J.SIAM 11 (1963).
	6	GREVILLE, T. N. E. The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations. SIAM Rev. 1 (1959).
	7	---. Some applications of the pseudoinverse of a nmtrix. SIAM Rev. 2 (1960).

CITED BY 3

	P. E. Sarachik , Ü. Özgüner, An APL algorithm for finding the generalized inverse of a matrix, ACM SIGAPL APL Quote Quad, v.9 n.3, March 1979
	J. M. Char , V. Cherkassky , H. Wechsler , G. L. Zimmerman, Distributed and Fault-Tolerant Computation for Retrieval Tasks Using Distributed Associative Memories, IEEE Transactions on Computers, v.37 n.4, p.484-490, April 1988
	Saleem Mohideen , Vladimir Cherkassky, On recursive calculation of the generalized inverse of a matrix, ACM Transactions on Mathematical Software (TOMS), v.17 n.1, p.130-147, March 1991

Collaborative Colleagues:

B. Rust: colleagues

W. R. Burrus: colleagues

C. Schneeberger: colleagues

Adobe Acrobat

QuickTime

Windows Media Player

Real Player