A reliable Givens-LU approach for solving opposite-bordered tridiagonal linear systems

DOI10.1016/j.camwa.2018.08.038zbMath1442.65029OpenAlexW2890252961WikidataQ129271637 ScholiaQ129271637MaRDI QIDQ2203011

Yanyan Li

Publication date: 1 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.038

zbMATH Keywords

reliabilityGivens rotationlinear-time solveropposite-bordered tridiagonal system

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items (2)

Numerical algorithms for the determinants of opposite-bordered and singly-bordered tridiagonal matrices ⋮ Generalized Sherman-Morrison-Woodbury formula based algorithm for the inverses of opposite-bordered tridiagonal matrices

Uses Software

• mctoolbox
• Mulprec
• CSparse

Cites Work

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• Non-symbolic algorithms for the inversion of tridiagonal matrices
• An Unsymmetric-Pattern Multifrontal Method for Sparse LU Factorization
• Direct Methods for Sparse Linear Systems
• Numerical Methods in Scientific Computing, Volume I
• Variant of the Thomas Algorithm for opposite-bordered tridiagonal systems of equations
• A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
• Analytical inversion of general tridiagonal matrices
• Iterative Solution Methods
• Accuracy and Stability of Numerical Algorithms
• Updating a Rank-Revealing ULV Decomposition

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