Results 151 to 160 of about 1,444 (195)

A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices. [PDF]

Complex Anal Oper Theory
Eichinger B, Lukić M, Young G.
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Schur-complement multigrid

Numerische Mathematik, 1997
A Schur-complement multigrid method for the solution of convection-diffusion problems with strongly discontinuous coefficients is the focus of this paper. This algorithm turns out to be robust and efficient for our test problems. Its convergence rate is in all cases superior to the standard multigrid method.
C. Wagner, W. Kinzelbach, G. Wittum
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The Schur Complement Interlacing Theorem

SIAM Journal on Matrix Analysis and Applications, 1995
Let \(H\) be an \(n \times n\) Hermitian matrix. We enumerate the eigenvalues \(\lambda_i (H)\) \((i = 1, \ldots, n)\) in decreasing order, and use \(H^+\) to denote the Moore-Penrose inverse. If \(H\) has the form \(\left[ \begin{smallmatrix} H_{11} & H_{12} \\ H_{21} & H_{22} \end{smallmatrix} \right]\) where \(H_{11}\) is a square invertible ...
Hu, Shu-An, Smith, Ronald L.
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Schur complements in C*‐algebras

Mathematische Nachrichten, 2005
AbstractIn this paper we introduce and study Schur complement of positive elements in a C*‐algebra and prove results on their extremal characterizations. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Cvetković-Ilić, Dragana S., Djordjević, Dragan S., Rakočević, Vladimir   +2 more
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Refining schur's inequality using schur complements

Linear and Multilinear Algebra, 1988
If Ais a hermitian positive semidefinite n × nmatrix, then Schur's inequality asserts that where G is a subgroup of Sn , the symmetric group of degree n, and χ is a character of G. The inequality is refined using Schur complements.
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The Schur Complement of $$\gamma $$-Dominant Matrices

Bulletin of the Iranian Mathematical Society, 2022
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Lixin Zhou, Zhen-Hua Lyu, Jianzhou Liu
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Structures Preserved by Schur Complementation

SIAM Journal on Matrix Analysis and Applications, 2006
In this paper we investigate some matrix structures on $\mathbb{C}^{m\times n}$ that are preserved by Schur complementation. The first type of structure is closely related to low displacement rank matrices. Next, we show that for a matrix having a low rank submatrix, the Schur complement also must have a low rank submatrix, which we can explicitly ...
Steven Delvaux, Marc Van Barel
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Matrix Decompositions Involving the Schur Complement

SIAM Journal on Applied Mathematics, 1975
Necessary and sufficient conditions are given for the rank of a sum of matrices over an arbitrary field to equal the sum of the ranks of the matrices. Several decompositions are given of a partitioned matrix into a sum of matrices. These provide a unified treatment of some classical results and some recent results on the ranks and generalized inverses ...
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Criteria and Schur complements of H-matrices

Journal of Applied Mathematics and Computing, 2009
A complex \(n\times n\) matrix \(A\) is called strictly diagonally (row) dominant if for each \(i= i,\dots,n\) the modulus of the \(i\)th diagonal element of \(A\) exceeds the sum of the moduli of the \(n-1\) off-diagonal elements of the \(i\)th row of \(A\), and \(A\) is called strictly generalized diagonally (row) dominant if there exists a diagonal ...
Liu, Jianzhou, Zhang, Fuzhen
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