On some Generalized Inverses of Matrices and some Linear Matrix Equations
Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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Vladimiro Valerio (1981)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Meenakshi, Ar., Anandam, N. (1992)
International Journal of Mathematics and Mathematical Sciences
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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.
Lubomír Kubáček (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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.