On schur complements in an ep matrix

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1985 English Publisher:Springer Science and Business Media LLCJournal:Periodica Mathematica Hungarica, volume 16, pages 193-200 (issn: 0031-5303, eissn: 1588-2829,

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Authors: Meenakshi, Ar.;

doi: 10.1007/bf01849842

On schur complements in an ep matrix

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Abstract

Necessary and sufficient conditions are derived for the general EP partitioned matrix to have a Schur complement as EP matrix, too. A decomposition of the partitioned matrix into a sum of EP matrices is given.

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Annamalai University
India

Keywords

decomposition, EP matrix, Hermitian, skew-Hermitian, and related matrices, Schur complement, Theory of matrix inversion and generalized inverses, Factorization of matrices

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