Cholesky decomposition of a positive semidefinite matrix with known kernel
type: Item
instance of: scholarly article
title: Cholesky decomposition of a positive semidefinite matrix with known kernel
zbMATH Open document ID: 1211.65034
author: Z. Dostál
author: T. Kozubek
author: A. Markopoulos
author: Martin Menšík
published in: Applied Mathematics and Computation
publication date: 2011-03-28T00:00:00Z
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 5870869
zbMATH Keywords: Cholesky decomposition
zbMATH Keywords: symmetric positive semidefinite matrix
zbMATH Keywords: generalized inverse
zbMATH Keywords: numerical experiments
zbMATH Keywords: large sparse matrix
describes a project that uses: symrcm
describes a project that uses: MatSol
describes a project that uses: Total FETI
MaRDI profile type: Publication
full work available at URL: j.amc.2010.12.069
OpenAlex ID: W1984637275
cites work: Algorithm 837
cites work: A formulation of general shell elements—the use of mixed interpolation of tensorial components
cites work: On the Finite Element Solution of the Pure Neumann Problem
cites work: Theoretically supported scalable BETI method for variational inequalities
cites work: Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure
cites work: Generalized Inverse Formulas Using the Schur Complement
cites work: Optimal quadratic programming algorithms. With applications to variational inequalities
cites work: Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities
cites work: Total FETI-an easier implementable variant of the FETI method for numerical solution of elliptic PDE
cites work: FETI based algorithms for contact problems: Scalability, large displacements and 3D Coulomb friction
cites work: Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
cites work: On the general solution by a direct method of a large-scale singular system of linear equations: application to the analysis of floating structures
cites work: FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method
cites work: Q3664299
cites work: Q3359644
cites work: Q3999499
cites work: An algebraically partitioned FETI method for parallel structural analysis: performance evaluation
cites work: A refined four-noded membrane element with rotational degrees of freedom
cites work: Q3585707
cites work: On the existence and computation of rank-revealing LU factorizations
cites work: An integrated geometric-algebraic method for solving semi-definite problems in structural mechanics.
cites work: Q5732201
cites work: An algorithm for profile and wavefront reduction of sparse matrices
DOI: 10.1016/J.AMC.2010.12.069
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description: scientific article; zbMATH DE number 5870869