Results 81 to 90 of about 340 (155)
, 2011 Consider a 2×2 block complex square matrix M=[ABCD], where A and D are square matrices. Suppose that (I-AAD)B=O and C(I-AAD)=O, where AD is the Drazin inverse of A.
Xiezhang Li, Li, Xiezhang
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Attention to space and time: Independent or interactive systems? A narrative review. [PDF]
Psychon Bull Rev, 2023 Capizzi M +3 more
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Some representations for the generalized drazin inverse of block matrices in Banach algebras
, 2014 We give explicit representations of the generalized Drazin inverse of a block matrix having generalized Schur complement generalized Drazin invertible in Banach algebras.
Nur Munawwarah
core
, 1978 A new type of generalized inverse is defined which is a weakened form of the Drazin inverse. These new inverses are called (d)-inverses. Basic properties of (d)-inverses are developed. It is shown that (d)-inverses are often easier to compute than Drazin
Meyer, Carl D., Campbell, Stephen L.
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Generalized inverse restricted by the normal Drazin equation
, 2015 In this work, we introduce a new kind of generalized inverse, called the (Formula presented.) -restricted weighted Drazin inverse of (Formula presented.) with respect to a positive semi-definite/definite matrix (Formula presented.).
Katsikis, V.N. +2 more
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The drazin inverse of the sum of two matrices and its applications
, 2017 In this paper, we give the results for the Drazin inverse of P + Q, then derive a representation for the Drazin inverse of a block matrix M = (A B C D) under some conditions.
Lingling Xia, Bin Deng
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Additive results for the Wg–Drazin inverse
, 2010 In this paper we prove the formula for the expression (A+B)d,W in terms of A,B,W,Ad,W,Bd,W, assuming some conditions for A,B and W. Here Sd,W denotes the generalized W-weighted Drazin inverse of a linear bounded operator S on a Banach ...
Mosić, Dijana, Djordjević, Dragan S.
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Representations for the Drazin inverse of the generalized Schur complement
, 2013 In this paper we present expressions for the Drazin inverse of the generalized Schur complement $A-CD^{d}B$ in terms of the Drazin inverses of $A$ and the generalized Schur complement $D-BA^{d}C$ under less and weaker restrictions, which generalize several results in the literature and the formula of Sherman-Morrison-Woodbury type.
Zhang, Daochang, Du, Xiankun
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Central nervous system physiology. [PDF]
Clin Neurophysiol, 2021 Rothwell J +8 more
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Representations for the Drazin inverse of 2×2 block-operator matrix with singular Schur complement
, 2011 In this paper, we present formulae for the Drazin inverse of 2×2 block-operator matrix with generalized Schur complement being Drazin invertible. Moreover, necessary and sufficient conditions for the existence as well as the expressions for the group ...
Chunyuan Deng +3 more
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