On the partitioned matrix and its associated system
Vladimiro Valerio (1981)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “Some equalities for generalized inverses of matrix sums and block circulant matrices”
On the partitioned matrix and its associated system
On some Generalized Inverses of Matrices and some Linear Matrix Equations
Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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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.
Kalogeropoulos, Grigoris I., Karageorgos, Athanasios D., Pantelous, Athanasios A. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Positive splittings of matrices and their nonnegative Moore-Penrose inverses
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.
On the relation between Moore's and Penrose's conditions.
Gan, Gaoxiong (2002)
International Journal of Mathematics and Mathematical Sciences
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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 -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range...
Convergence of Rump's method for computing the Moore-Penrose inverse
Yunkun Chen, Xinghua Shi, Yi Min Wei (2016)
Czechoslovak Mathematical Journal
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We extend Rump's verified method (S. Oishi, K. Tanabe, T. Ogita, S. M. Rump (2007)) for computing the inverse of extremely ill-conditioned square matrices to computing the Moore-Penrose inverse of extremely ill-conditioned rectangular matrices with full column (row) rank. We establish the convergence of our numerical verified method for computing the Moore-Penrose inverse. We also discuss the rank-deficient case and test some ill-conditioned examples. We provide our Matlab codes for...