A Hybrid Algorithm for Solving Sparse Nonlinear Systems of Equations

DOI10.2307/2007919zbMath0657.65064OpenAlexW4232646648MaRDI QIDQ3805779

Guangye Li, John E. jun. Dennis

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2007919

zbMATH Keywords

local convergencesuperlinear convergencehybrid algorithmsparse nonlinear systemsSchubert's methodsparse finite-difference schemesparse quasi-Newton methodsparse secant update

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10)

Cites Work

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• Estimation of Sparse Jacobian Matrices and Graph Coloring Blems
• The Secant/Finite Difference Algorithm for Solving Sparse Nonlinear Systems of Equations
• Convergence Results for Schubert’s Method for Solving Sparse Nonlinear Equations
• Quasi-Newton Methods, Motivation and Theory
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian
• The Convergence of an Algorithm for Solving Sparse Nonlinear Systems

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