Add-sub pivoting triangular factorization for symmetric matrix

DOI10.1016/j.cam.2019.01.006zbMath1432.65031OpenAlexW2913285917WikidataQ128455216 ScholiaQ128455216MaRDI QIDQ2423596

Wenjun Yang, Shengrong Hu

Publication date: 20 June 2019

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.2019.01.006

zbMATH Keywords

symmetric indefinite matrixdirect solution methodssymmetric linear systemadd-sub pivotingsymmetric Gaussian eliminationsymmetric triangular factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• mctoolbox
• MA27

Cites Work

• An alternative full-pivoting algorithm for the factorization of indefinite symmetric matrices
• Pivoting techniques for symmetric Gaussian elimination
• Relaxed forms of BBK algorithm and FBP algorithm for symmetric indefinite linear systems
• A symmetric linear system solver
• The Growth-Factor Bound for the Bunch-Kaufman Factorization Is Tight
• Stability of the Diagonal Pivoting Method with Partial Pivoting
• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• Partial pivoting strategies for symmetric gaussian elimination
• Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems
• A Modified Cholesky Algorithm Based on a Symmetric Indefinite Factorization
• Accurate Symmetric Indefinite Linear Equation Solvers
• Accuracy and Stability of Numerical Algorithms
• The choleski Q.I.F. algorithm for solving symmetric linear systems
• Analysis of the Diagonal Pivoting Method
• Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
• On the reduction of a symmetric matrix to tridiagonal form
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