The Multifrontal Solution of Unsymmetric Sets of Linear Equations
From MaRDI portal
Publication:3221277
DOI10.1137/0905045zbMath0557.65017OpenAlexW1984921897MaRDI QIDQ3221277
Publication date: 1984
Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0905045
computational experimentsGaussian eliminationfactorizationtest matricesunsymmetric matricessparsity patternsmultifrontal technique
Computational methods for sparse matrices (65F50) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items
Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers, A survey of the advances in the exploitation of the sparsity in the solution of large problems, Free-surface film flow over topography: full three-dimensional finite element solutions, A shared- and distributed-memory parallel general sparse direct solver, Solving the KPI wave equation with a moving adaptive FEM grid, Concurrent algorithm for integrating three-dimensional B-spline functions into machines with shared memory such as GPU, Solution of sparse positive definite systems on a hypercube, On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers, Quasi-optimal \textit{hp}-finite element refinements towards singularities via deep neural network prediction, A parallel direct solver for the self-adaptive \(hp\) finite element method, A survey on direct solvers for Galerkin methods, A direct solver with reutilization of Lu factorizations for \(h\)-adaptive finite element grids with point singularities, Direct solvers performance on \(h\)-adapted grids, A survey of direct methods for sparse linear systems, Element partition trees for \(h\)-refined meshes to optimize direct solver performance. I: Dynamic programming, Analysis of the solution phase of a parallel multifrontal approach, Parallel space-time \(hp\) adaptive discretization scheme for parabolic problems, Applications of a hyper-graph grammar system in adaptive finite-element computations, Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines, Robust Memory-Aware Mappings for Parallel Multifrontal Factorizations, Parallel sparse Gaussian elimination with partial pivoting, Multiprocessing a sparse matrix code on the Alliant FX/8, Multifrontal parallel distributed symmetric and unsymmetric solvers, A new efficient algorithm for computing Gröbner bases \((F_4)\), Extensions of the Augmented Block Cimmino Method to the Solution of Full Rank Rectangular Systems, An incomplete nested dissection algorithm for parallel direct solution of finite element discretizations of partial differential equations
Uses Software