The \(D_ 2\)-triangulation for simplicial homotopy algorithms for computing solutions of nonlinear equations

DOI10.1007/BF01581250zbMath0804.65056OpenAlexW2071681442MaRDI QIDQ687034

Chuangyin Dang

Publication date: 15 January 1995

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01581250

zbMATH Keywords

comparisontriangulationnumerical testsmeasures of efficiencysimplicial homotopy methods

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 (2)

A variant of Harsanyi's tracing procedures to select a perfect equilibrium in normal form games ⋮ A differentiable homotopy method to compute perfect equilibria

Cites Work

• A course in triangulations for solving equations with deformations
• A simple and relatively efficient triangulation of the n-cube
• The computation of fixed points and applications
• \(D_ 3\)-triangulation for simplicial deformation algorithms for computing solutions of nonlinear equations
• Simplicial algorithms on the simplotope
• The Middle-Cut Triangulations of the n-Cube
• Equivalence of Surface Density and Average Directional Density
• The D1-Triangulation of Rn for Simplicial Algorithms for Computing Solutions of Nonlinear Equations
• A variable rate refining triangulation
• A Continuous Deformation Algorithm on the Product Space of Unit Simplices
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• A new subdivision for computing fixed points with a homotopy algorithm
• On triangulations for computing fixed points
• Homotopies for computation of fixed points
• Variable dimension algorithms: Basic theory, interpretations and extensions of some existing methods
• The Approximation of Fixed Points of a Continuous Mapping
• Homotopies for computation of fixed points on unbounded regions

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