Newton-like method with modification of the right-hand-side vector

DOI10.1090/S0025-5718-01-01322-9zbMath0985.65050OpenAlexW2161512664MaRDI QIDQ2759094

Nataša Krejić, Zorana Lužanin

Publication date: 10 December 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01322-9

zbMATH Keywords

comparisonsystem of nonlinear equationsnumerical examplesNewton-like methodlocal convergencerelaxation parameter

Mathematics Subject Classification ID

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

Related Items (11)

Iterative method with modification of the right-hand side vector for nonlinear complementarity problems ⋮ On the convergence of a damped secant method with modified right-hand side vector ⋮ A positive spectral gradient-like method for large-scale nonlinear monotone equations ⋮ Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations ⋮ A descent Dai-Liao conjugate gradient method for nonlinear equations ⋮ A modified conjugate gradient parameter via hybridization approach for solving large-scale systems of nonlinear equations ⋮ A split Levenberg-Marquardt method for large-scale sparse problems ⋮ An improved three-term derivative-free method for solving nonlinear equations ⋮ On the convergence of a damped Newton-like method with modified right hand side vector ⋮ Unnamed Item ⋮ Newton-like Method with Diagonal Correction for Distributed Optimization

Uses Software

• KELLEY

Cites Work

• Inexact trust region method for large sparse systems of nonlinear equations
• A Family of Quasi-Newton Methods for Nonlinear Equations with Direct Secant Updates of Matrix Factorizations
• Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations^∗
• Inexact Newton Methods
• Direct Secant Updates of Matrix Factorizations
• 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
• A New Sparsity Preserving Quasi-Newton Update for Solving Nonlinear Equations
• Choosing the Forcing Terms in an Inexact Newton Method
• A Uniformly Convergent Finite Difference Scheme for a Singularly Perturbed Semilinear Equation
• Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian
• A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination
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