A generalised sparse factorisation method for the solution of periodic tridiagonal systems

DOI10.1016/0898-1221(79)90043-9zbMath0415.65026OpenAlexW2003275369MaRDI QIDQ600226

David J. Evans, S. O. Okolie

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0898-1221(79)90043-9

zbMATH Keywords

algorithmcontinued fraction expansionCrank- Nicolson finite difference equationsfactorisation methodslinear self-adjoint parabolic problemsperiodic spatial boundary conditionsperiodic tridiagonal matrix systemssparse cyclic factorisation method

Mathematics Subject Classification ID

Factorization of matrices (15A23) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

The numerical solution of an elliptic P.D.E. with periodic boundary conditions in a rectangular region by the spectral resolution method ⋮ A quotient-difference algorithm for the determination of eigenvalues of periodic tridiagonal matrices ⋮ The direct solution of banded linear systems by a new matrix factorization procedure

Cites Work

• Eigenproblems for Matrices Associated with Periodic Boundary Conditions
• The Numerical Solution of the Fourth Boundary Value Problem for Parabolic Partial Differential Equations
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