Modified ST algorithms and numerical experiments

DOI10.1016/S0168-9274(03)00059-XzbMath1031.65041MaRDI QIDQ1412344

Jin Yun Yuan, Cosmo Damião Santiago

Publication date: 10 November 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplessparse matricesLU factorizationCholesky decompositionST decompositionNumerical stabilityGolub-Yuan algorithm

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (5)

Row-wise algorithms of ST decomposition ⋮ Block symmetric-triangular preconditioners for generalized saddle point linear systems from piezoelectric equations ⋮ New preconditioners based on symmetric-triangular decomposition for saddle point problems ⋮ Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems ⋮ Block triangular preconditioners based on symmetric-triangular decomposition for generalized saddle point problems

Uses Software

• mctoolbox
• Harwell-Boeing sparse matrix collection
• Algorithm 694
• testmatrix

Cites Work

• The prolate matrix
• Symmetric-triangular decomposition and its applications. I: Theorems and algorithms
• Realistic Eigenvalue Bounds for the Galerkin Mass Matrix
• Algorithm 694
• Stability of block algorithms with fast level-3 BLAS
• Stability of block LU factorization
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