Results 131 to 140 of about 408 (148)
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Applied Mathematics and Computation, 2011
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2022
Summary: We provide a general finite iterative approach for constructing factorizations of a matrix \(A\) under a common framework of a general decomposition \(A=BC\) based on the generalized Schur complement. The approach applies a zeroing process using two index sets.
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Summary: We provide a general finite iterative approach for constructing factorizations of a matrix \(A\) under a common framework of a general decomposition \(A=BC\) based on the generalized Schur complement. The approach applies a zeroing process using two index sets.
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The generalized Schur complement in group inverses and (k + 1)-potent matrices
Linear and Multilinear Algebra, 2006In this article, two facts related to the generalized Schur complement are studied. The first one is to find necessary and sufficient conditions to characterize when the group inverse of a partitioned matrix can be expressed in the Schur form. The other one is to develop a formula for any power of the generalized Schur complement of an idempotent ...
Julio Benítez, Néstor Thome
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2010
We consider element-by-element Schur complement approximations for indefinite and general nonsymmetric matrices of two-by-two block form, as arising in finite element discretized systems of PDEs The paper provides some analysis of the so-obtained approximation and attempts to quantify the quality of the underlying two-by-two matrix splitting in a way ...
Maya G. Neytcheva, Minh Do-Quang, Xin He
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We consider element-by-element Schur complement approximations for indefinite and general nonsymmetric matrices of two-by-two block form, as arising in finite element discretized systems of PDEs The paper provides some analysis of the so-obtained approximation and attempts to quantify the quality of the underlying two-by-two matrix splitting in a way ...
Maya G. Neytcheva, Minh Do-Quang, Xin He
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Positive Definite Matrices, Schur Complements, and Generalized Eigenvalue Problems
1994Item does not contain ...
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The generalized Schur complement in group inverses and (k + 1)-potent matrices
Linear and Multilinear Algebra, 2006Nestor Thome, Julio Benitez
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A Schur Complement Preconditioner for Scalable Parallel Fluid Simulation
ACM Transactions on Graphics, 2017Xubo Yang
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On the inverse of a special Schur complement
Applied Mathematics and Computation, 2012Zhiping Xiong
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Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz–Schur forms
Journal of Mathematical Analysis and Applications, 2014Dijana Mosić, Dragan Djordjevic
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Extremal Characterizations of the Schur Complement and Resulting Inequalities
SIAM Review, 2000Chi-Kwong Li, Roy Mathias
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