On commuting generalized inverses of matrices and in associative rings.

Kečkić, Jovan D.

Displaying similar documents to “On commuting generalized inverses of matrices and in associative rings.”

Some remarks on possible generalized inverses in semigroups.

Kečkić, Jovan (1997)

Publications de l'Institut Mathématique. Nouvelle Série

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Common solutions of a pair of matrix equations.

Tian, Yong-ge (2002)

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On commuting generalized inverses in semigroups.

Kečkić, Jovan D., Milić, Svetozar (1999)

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On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$

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The Drazin inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices.

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On continuity of the Moore-Penrose and Drazin inverses.

Rakočević, Vladimir (1997)

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M. Haverić (1984)

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On the relation between Moore's and Penrose's conditions.

Gan, Gaoxiong (2002)

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On some Generalized Inverses of Matrices and some Linear Matrix Equations

Jovan D. Kečkić (1989)

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On the generalized Drazin inverse and generalized resolvent

Dragan S. Djordjević, Stanimirović, Predrag S. (2001)

Czechoslovak Mathematical Journal

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We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in $C^{*}$ -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range...