The design and use of a sparse direct solver for skew symmetric matrices

DOI10.1016/j.cam.2008.05.016zbMath1161.65021OpenAlexW2017226097MaRDI QIDQ1008659

Iain S. Duff

Publication date: 30 March 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.016

zbMATH Keywords

algorithmsnumerical examplespreconditioningmatchingdirect solverGMRESGaussian eliminationmultifrontal methodconvection-diffusion equationsgraph collapsingsparse skew symmetric matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

Structured shifts for skew-symmetric matrices ⋮ A survey of direct methods for sparse linear systems ⋮ Motivations and realizations of Krylov subspace methods for large sparse linear systems ⋮ \(K\)-theory and pseudospectra for topological insulators

Uses Software

• SuperLU-DIST
• MA57
• PARDISO
• FGMRES
• SparseMatrix

Cites Work

• Unnamed Item
• Unnamed Item
• On fast factorization pivoting methods for sparse symmetric indefinite systems
• The university of Florida sparse matrix collection
• Towards Stable Mixed Pivoting Strategies for the Sequential and Parallel Solution of Sparse Symmetric Indefinite Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Note on the Stable Decomposition of Skew-Symmetric Matrices
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• The Factorization of Sparse Symmetric Indefinite Matrices
• Accuracy and Stability of Numerical Algorithms
• SuperLU_DIST
• MA57---a code for the solution of sparse symmetric definite and indefinite systems
• Algorithm 842
• Strategies for Scaling and Pivoting for Sparse Symmetric Indefinite Problems

This page was built for publication: The design and use of a sparse direct solver for skew symmetric matrices