On the relation between Moore's and Penrose's conditions.
Gan, Gaoxiong (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Positive splittings of matrices and their nonnegative Moore-Penrose inverses”
On the relation between Moore's and Penrose's conditions.
Some equalities for generalized inverses of matrix sums and block circulant matrices
Yong Ge Tian (2001)
Archivum Mathematicum
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Let be complex matrices of the same size. We show in this note that the Moore-Penrose inverse, the Drazin inverse and the weighted Moore-Penrose inverse of the sum can all be determined by the block circulant matrix generated by . In addition, some equalities are also presented for the Moore-Penrose inverse and the Drazin inverse of a quaternionic matrix.
On some Generalized Inverses of Matrices and some Linear Matrix Equations
Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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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...
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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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...