A ABS algorithm for solving singular nonlinear system with space transformation

DOI10.1007/s12190-008-0176-7zbMath1178.65049OpenAlexW1986768496MaRDI QIDQ1032023

Wang Jinzhi, Ge Rendong, Xia Zunquan

Publication date: 23 October 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0176-7

zbMATH Keywords

Jacobian matrixABS algorithmAbaffy-Broyden-Spedicato (ABS) algorithmdiscreted Brown algorithmsingular nonlinear systemsingular system of linear equationsspace transformation methodsystem of nonlinear equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Cites Work

• A class of direct methods for linear systems
• The local convergence of ABS methods for nonlinear algebraic equations
• A relation between Newton and Gauss-Newton steps for singular nonlinear equations
• An efficiently implementable Gauss-Newton-like method for solving singular nonlinear equations
• Local convergence analysis of tensor methods for nonlinear equations
• Tensor Methods for Nonlinear Equations
• ABS algorithms from Luoyang to beijing
• A class of difference ABS‐type algorithms for a nonlinear system of equations
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