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Product of Range Symmetric Block Matrices in Minkowski Space

Meenakshi, A.R., and Krishnaswamy, D., (2006) Product of Range Symmetric Block Matrices in Minkowski Space. Bulletin of the Malaysian Mathematical Sciences Society, 29 (1). pp. 59-68. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n1/v29n1p8.pdf

Affiliations

Annamalai University, Faculty of Engineering and Technology
Annamalai University, Directorate of Distance Education

Abstract

Necessary and sufficient conditions for the product of range symmetric matrices of rank r to be range symmetric in Minkowski space $\mathcal{M}$ is derived. Also equivalent conditions for the product of two range symmetric block matrices to be range symmetric are established. As an application we have shown that a block matrix in Minkowski space can be expressed as a product of range symmetric matrices in $\mathcal{M}$.


2000 Mathematics Subject Classification: Primary 15A57, Secondary 15A09

Item Type:Journal
Keywords:Minkowski space, range symmetric matrix
Subjects:Q Science, Computer Science
ID Code:1434

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[5] A. R. Meenakshi, Generalized inverses of matrices in Minkowski space, in Proc. Nat. Seminar Alg. Appln. Annamalai University, Annamalainagar, (2000), 1—14.

[6] A.R. Meenakshi, Range 8ymmetric matrices in Minkowski space, Bull. Malays. Math. Sci. Soc. (2) 23(1) (2000), 45—52.

[7] A.R. Meenakshi and D. Krishnaswamy, On sums of range symmetric matrices in Minkowski space, Bull. Malays. Math. Sci. Soc. (2) 25(2) (2002), 137-148.

[8] M. Renardy, Singular value decomposition in Minkowski space, Linear Algebra Appl. 236 (1996), 53—58.

[9] M. Pearl, On normal and EP_r. matrices, Michigan Math. J. 6 (1959), 1—5.

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