EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 45(59), pp. 57--63 (1989)

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ON SOME GENERALIZED INVERSES OF MATRICES AND SOME LINEAR MATRIX EQUATIONS

Jovan D. Ke\v cki\'c

Farmaceutski fakultet, Beograd, Yugoslavia

Abstract: We point a generalized inverse $A_G$ of a singular square complex matrix $A$, with the property that the general solution of the equation $A^nx=0$ (and many other equations) can be expressed by means of $A_G$ for all positive integers $n$. This inverse is a solution of the system (5), also satisfied by the strong spectral inverse of Greville. Applications to various matrix equations and to linear algebraic systems are given.

Classification (MSC2000): 15A09, 15A24

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition