Generalized trajectory methods for finding multiple extrema and roots of functions

DOI10.1023/A:1022635419332zbMath0907.90253OpenAlexW1529647575MaRDI QIDQ1264996

K. Appert

Publication date: 11 February 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022635419332

zbMATH Keywords

rootsglobal optimizationrelaxationnonlinear equationstrajectory trackinghomotopy

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (1)

The use of updated robust reliability measures in stochastic dynamical systems

Uses Software

• HOMPACK

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• An extended continuous Newton method
• Algorithm 652
• Some Nniqueness Results Related to Soil and Building Structural Identification
• On the global convergence of path-following methods to determine all solutions to a system of nonlinear equations
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• Relations Between Several Path Following Algorithms and Local and Global Newton Methods
• Preconditioned Iterative Methods for Homotopy Curve Tracking
• Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• Some General Bifurcation Techniques
• Elements of applied bifurcation theory

This page was built for publication: Generalized trajectory methods for finding multiple extrema and roots of functions