Two symbolic algorithms for solving general periodic pentadiagonal linear systems

DOI10.1016/J.CAMWA.2015.03.009zbMath1443.65033OpenAlexW2044006637MaRDI QIDQ2006142

Yao-Lin Jiang, Ji-Teng Jia

Publication date: 8 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.2015.03.009

zbMATH Keywords

linear systemsmatrix decompositionperiodic pentadiagonal matricesDoolittle LU decompositionpentadiagonal linear solver

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Uses Software

• PENT
• CSparse

Cites Work

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• Theory and algorithm of the inversion method for pentadiagonal matrices
• A fast and reliable algorithm for evaluating \(n\)th order pentadiagonal determinants
• On the inverse of a general pentadiagonal matrix
• New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems
• An inversion algorithm for a banded matrix
• A new recursive algorithm for inverting general periodic pentadiagonal and anti-pentadiagonal matrices
• A new computational algorithm for solving periodic tri-diagonal linear systems
• A parallel chopping algorithm for ODE boundary value problems
• A computational algorithm for solving periodic penta-diagonal linear systems
• A novel algorithm and its parallelization for solving nearly penta-diagonal linear systems
• Two algorithms for solving general backward pentadiagonal linear systems
• Direct Methods for Sparse Linear Systems
• Pent: A periodic pentadiagonal systems solver
• Parallel Factorizations for Tridiagonal Matrices
• On Direct Methods for Solving Poisson’s Equations

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