Schur complements - Open Access .click

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. +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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