Solving banded and near symmetric systems

DOI10.1016/S0096-3003(99)00129-0zbMath1026.65018OpenAlexW2116909571MaRDI QIDQ5931651

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Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00129-0

zbMATH Keywords

numerical examplesToeplitz matrixfinite difference methodslinear banded systemLU factorizationnear-symmetric coefficient matrixnonlinear Volterra integrodifferential equationsperturbed systemtwo point boundary conditions

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

A parallel method for linear equations with tridiagonal Toeplitz coefficient matrices ⋮ A parallel numerical algorithm for near symmetric and banded systems

Uses Software

• NAPACK

Cites Work

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• An approximate solution for a system with a symmetric matrix
• A new method for solving symmetric circulant tridiagonal systems of linear equations
• A fast algorithm for solving special tridiagonal systems
• On the stability of the cyclic reduction without back substitution for tridiagonal systems
• On the Solution of Circulant Linear Systems
• A new fourth order method for computing eigenvalues of two-point boundary value problems
• A fast method for solving second Order boundary value volterra Integro-differential equations
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type