Search results for "Schur complement"

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A characterization of the Schur property through the disk algebra

2017

[EN] In this paper we give a new characterization of when a Banach space E has the Schur property in terms of the disk algebra. We prove that E has the Schur property if and only if A(D, E) = A(D,E-w). (C) 2016 Elsevier Inc. All rights reserved.

Discrete mathematicsPure mathematicsMathematics::CombinatoricsBanach spaceApplied Mathematics010102 general mathematicsSchur's lemmaSchur algebra01 natural sciencesSchur's theoremSchur polynomialSchur propertySchur decomposition0103 physical sciencesSchur complement010307 mathematical physics0101 mathematicsDisk algebraMathematics::Representation TheoryMATEMATICA APLICADAAnalysisDisk algebraMathematicsSchur product theorem
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Numerical Study of Two Sparse AMG-methods

2003

A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.

Numerical AnalysisMathematical optimizationDiscretizationApplied MathematicsNumerical analysisMathematicsofComputing_NUMERICALANALYSISPositive-definite matrixFinite element methodComputational MathematicsMultigrid methodModeling and SimulationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONSchur complementApplied mathematicsPartial derivativeAnalysisMathematicsSparse matrixESAIM: Mathematical Modelling and Numerical Analysis
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