Simple algorithms for tracing solution curves

DOI10.1109/81.242328zbMath0802.65150OpenAlexW2103314585MaRDI QIDQ4307890

Kiyotaka Yamamura

Publication date: 4 October 1994

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/82596

zbMATH Keywords

algorithmshomotopy methodhyperspherespredictor-corrector algorithmscurve tracingimplicitly defined solution curves

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (7)

A new model for fingerprint classification by ridge distribution sequences ⋮ Spherical continuation algorithm with spheres of variable radius to trace homotopy curves ⋮ Interval solution of nonlinear equations using linear programming ⋮ A TFC-based homotopy continuation algorithm with application to dynamics and control problems ⋮ Finding all solutions of a class of nonlinear equations using an improved LP test ⋮ Improved spherical continuation algorithm with application to the double-bounded homotopy (DBH) ⋮ Solution of a non-convex optimization arising in PI/PID control design

This page was built for publication: Simple algorithms for tracing solution curves