Quasi-Newton methods with derivatives

DOI10.1007/BF02575831zbMath0882.65036OpenAlexW2085127548MaRDI QIDQ1373466

José Mario Martínez

Publication date: 1995

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575831

zbMATH Keywords

convergencenonlinear systemsquasi-Newton methods

Mathematics Subject Classification ID

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

Uses Software

• minpack

Cites Work

• Unnamed Item
• A quasi-Newton method with modification of one column per iteration
• A parallel projection method for overdetermined nonlinear systems of equations
• A nonsmooth version of Newton's method
• Convergence Theorems for Least-Change Secant Update Methods
• Least Change Secant Updates for Quasi-Newton Methods
• Testing Unconstrained Optimization Software
• The column-updating method for solving nonlinear equations in Hilbert space
• Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
• On the Impact of Automatic Differentiation on the Relative Performance of Parallel Truncated Newton and Variable Metric Algorithms
• On the Relation between Two Local Convergence Theories of Least-Change Secant Update Methods
• Numerical Solution of Nonlinear Equations
• Globally Convergent Inexact Newton Methods
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
• Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems
• A Theory of Secant Preconditioners
• A Class of Methods for Solving Nonlinear Simultaneous Equations

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