An efficient step size control for continuation methods

DOI10.1007/BF01933641zbMath0465.65029MaRDI QIDQ3917431

Walter Zulehner, Jason F. Hackl, H. J. Wacker

Publication date: 1980

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Newton's methodnumerical examplesorder of convergenceimbeddingcontinuation methodsiterationserror measure

Mathematics Subject Classification ID

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

Related Items

Affine invariant convergence results for Newton's method, Variable Schrittweitensteuerungen für die Homotopiemethode bei adäquaten nichtlinearen Ausgleichsproblemen, Following paths through turning points, A globally convergent algorithm based on imbedding and parametric optimization, On the radius of convergence of newton's method, Unnamed Item, A modified standard embedding with jumps in nonlinear optimization, Hansjörg Wacker (1939-1991)

Cites Work

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• On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
• The Solution of Nonlinear Systems of Equations by A-Stable Integration Techniques
• The Feasibility of Continuation Methods for Nonlinear Equations
• The continuation method for functional equations