Hierarchische Matrizen
DOI10.1007/978-3-642-00222-9zbMath1180.65004OpenAlexW4235330460MaRDI QIDQ3621898
Publication date: 22 April 2009
Full work available at URL: https://doi.org/10.1007/978-3-642-00222-9
monographalgorithmscomputational complexitysingular value decompositiondomain decompositionboundary value problemsintegral equationserror estimationHadamard producttensor productsKronecker productsHelmholtz equationLyapunov matrix equationquadratureelliptic boundary value problemsLU-decompositionRiccati matrix equationmatrix inversionmatrix functionsGalerkin discretizationSylvester matrix equationGreen operatorNewton potentialHierarchical matricessinc interpolationlow rank matricesmatrix-matrix multiplicationsfinite-element matricessparse and dense matrices
Computational methods for sparse matrices (65F50) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Matrix equations and identities (15A24) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Complexity and performance of numerical algorithms (65Y20) Multilinear algebra, tensor calculus (15A69) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)
Related Items