Secant methods for sparse systems of nonlinear equations with a special structure

DOI10.1007/BF02253894zbMath0498.65029OpenAlexW2399171449MaRDI QIDQ1171359

S. Singh

Publication date: 1983

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253894

zbMATH Keywords

sparse systemsmultiple shootingsecant methodsadapted Broyden methodlocal superlinear convergent iterative methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

Efficient estimation of sparse Jacobian matrices by differences

Cites Work

• A Taylor series method for the numerical solution of two-point boundary value problems
• A stepsize control for continuation methods and its special application to multiple shooting techniques
• A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
• Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting
• Über die Realisierung und Konvergenz von Mehrschrittverfahren zur iterativen Lösung nichtlinearer Gleichungen
• Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems
• Überlinear konvergente Mehrschrittverfahren vom Regula falsi‐ und Newton‐Typ
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