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Some Remarks on Generalized Inverses of Conjugate EP Matrix

Meenakshi, A.R., and Indira, R., (2005) Some Remarks on Generalized Inverses of Conjugate EP Matrix. Bulletin of the Malaysian Mathematical Sciences Society, 28 (1). pp. 61-65. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v28n1/v28n1p7.pdf

Affiliations

Annamalai University, Dept. of Mathematics
Anna University, Madras Institute of Technology, Dept. of Mathematics

Abstract

The existence of a group inverse and characterization of generalized inverses of a Con-EP (Conjugate EP) matrix are studied and it is shown that for a Con-EP matrix $A$, $A^\dagger$ is not a polynomial in $A$ and group inverse does not coincides with $A^\dagger$. Conditions are derived for $A^T$ to be a polynomial in $A$ for a Con-EP matrix $A$.

Item Type:Journal
Keywords:Conjugate EP matrices, Generalized inverse of a matrix, polynomial of a matrix, semi linear transformations.
Subjects:Q Science, Computer Science
ID Code:1396

[1] A. Ben-Israel and T. N. E. Greville, Generalized inverses: Theory and Applications, Second edition, MS Books in Mathematics/Ouvrages de Mathe matiques de la SMC, 15, Springer— Verlag, New York, 2003.

[2] J. H. Bevis, F. J. Hall and R. E. Hartwig, The Drazin inverse of a semilinear transformation and its matrix representation, Linear Algebra Appl. 97 (1987), 229—242.

[3] AR. Meenakshi and R. Indira, On products of conjugate EP_r, matrices, Kyungpook Math. J. 32 (1) (1992), 103—110.

[4] C. R. Rao and S. K. Mitra, Generalized Inverse of Matrices and its Applications, John Wiley & Sons, Inc., New York, 1971.

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