Representations of Generalized Inverses and Drazin Inverse of Partitioned Matrix with Banachiewicz-Schur Forms
نویسندگان
چکیده
منابع مشابه
Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz–Schur forms
We introduce new expressions for the generalized Drazin inverse of a block matrix with the generalized Schur complement being generalized Drazin invertible in a Banach algebra under some conditions. We generalized some recent results for Drazin inverse and group inverse of complex matrices.
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Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
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In this paper we give representations of the Drazin and MP-inverse of a 2×2 block matrix and quotient identities for the generalized Schur complement of a partitioned 3 × 3 matrix under conditions different than those used in recent papers on the subject. We present numerical examples to illustrate our results. 2000 Mathematics Subject Classification: 15A09
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Through the matrix rank method, this paper gives necessary and sufficient conditions for a partitioned matrix to have generalized inverses with Banachiewicz-Schur forms. In addition, this paper investigates the idempotency of generalized Schur complements in a partitioned idempotent matrix.
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2016
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2016/9236281