A general CDC formulation for specializing the cell exclusion algorithms of finding all zeros of vector functions

DOI10.1016/S0096-3003(96)00191-9zbMath0910.65033MaRDI QIDQ1126577

Zong Ben Xu, Jiang-She Zhang, Yiu-Wing Leung

Publication date: 8 October 1998

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

zbMATH Keywords

systems of nonlinear equationsglobal methodcell discarded conditioncell exclusion algorithm

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items

A new exclusion test., Theoretical convergence analysis of a general division-deletion algorithm for solving global search problems, A new exclusion test for finding the global minimum, Efficiency speed-up strategies for evolutionary computation: fundamentals and fast-GAs., AN ALGORITHM FOR FINDING ALL ZEROS OF VECTOR FUNCTIONS, On the complexity of exclusion algorithms for optimization, Evolution strategies with exclusion-based selection operators and a Fourier series auxiliary function, Interval branch and bound with local sampling for constrained global optimization

Cites Work

• On an application of dynamical systems theory to determine all the zeros of a vector function
• A computational method for finding all the roots of a vector function
• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• A cell exclusion algorithm for determining all the solutions of a nonlinear system of equations
• Index Evaluation for Dynamical Systems and Its Application to Locating All the Zeros of a Vector Function
• A simplicial mapping method for locating the zeros of a function
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• On Algorithms for Solvingf(x)=0
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