Application of homotopy perturbation methods for solving systems of linear equations

DOI10.1016/j.amc.2010.11.024zbMath1209.65039OpenAlexW2016140472MaRDI QIDQ628865

Hsuan-Ku Liu

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.024

zbMATH Keywords

numerical resultsnumerical examplesRichardson methodGauss-Seidel methodJacobi methodlarge sparse linear systemshomotopy perturbation methods

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)

Related Items (6)

An algorithm with \(m\)-step residual history for solving linear equations: data interpolation by a multi-shape-factors RBF ⋮ On the application of homotopy perturbation method for solving systems of linear equations ⋮ Homotopy perturbation method for linear programming problems ⋮ Convergent homotopy analysis method for solving linear systems ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• An approach to the solution of linear system of equations by He's homotopy perturbation method
• Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
• Probability-one homotopies in computational science
• Homotopy perturbation method: a new nonlinear analytical technique
• Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
• Applied Numerical Methods Using MATLAB®

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