On the factorization of special symmetric periodic and non-periodic quindiagonal matrices

DOI10.1007/BF02253058zbMath0391.65008OpenAlexW411834087MaRDI QIDQ1251451

Apostolos Hadjidimos, David J. Evans

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253058

zbMATH Keywords

Biharmonic Partial Differential EquationBlock Iterative SolutionsBoundary ConditionsFactoring MethodFast Numerical SolutionFive Diagonal Linear SystemNonperiodic Quindiagonal MatricesPeriodic Quindiagonal Matrices

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

On real factorizations of symmetric circulant sparse matrices ⋮ Fast solution of implicit methods for linear hyperbolic equations ⋮ On the solution of certain circulant banded linear systems ⋮ On the solution of certain symmetric quindiagonal linear systems ⋮ The direct solution of banded linear systems by a new matrix factorization procedure ⋮ On the solution of certain toeplitz quindiagonal linear systems

Cites Work

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• On comparing optimum alternating direction preconditioning and extrapolated alternating direction implicit schemes
• The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods
• An Alternating Direction Method for Solving the Biharmonic Equation
• On the use of fast methods for solving boundary value problems
• An algorithm for the solution of certain tridiagonal systems of linear equations

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