On Moore-Penrose Inverse of Block Matrices and Full-rank Factorization
Gradimir V. Milovanović, Predrag Stanimirović (1997)
Publications de l'Institut Mathématique
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Gradimir V. Milovanović, Predrag Stanimirović (1997)
Publications de l'Institut Mathématique
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Gan, Gaoxiong (2002)
International Journal of Mathematics and Mathematical Sciences
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Stanimirović, P. (1996)
Matematichki Vesnik
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Vladimiro Valerio (1981)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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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 -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range...
Tamminana Kurmayya, Koratti C. Sivakumar (2008)
Discussiones Mathematicae - General Algebra and Applications
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In this short note we study necessary and sufficient conditions for the nonnegativity of the Moore-Penrose inverse of a real matrix in terms of certain spectral property shared by all positive splittings of the given matrix.
Fernando Pablos Romo (2022)
Czechoslovak Mathematical Journal
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The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.
G. R. Gordh Jr., Sibe Mardešić (1975)
Colloquium Mathematicae
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Rakočević, Vladimir (1997)
Matematichki Vesnik
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