Subspace methods for large scale nonlinear equations and nonlinear least squares

DOI10.1007/s11081-008-9064-0zbMath1171.65040OpenAlexW2030840351MaRDI QIDQ833458

Ya-Xiang Yuan

Publication date: 12 August 2009

Published in: Optimization and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11081-008-9064-0

zbMATH Keywords

subspace methodsconjugate gradient methodtrust region methodprojected gradient methodquasi-Newton methodline searchnonlinear least squaresnull space methodsystems nonlinear of equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Numerical computation of solutions to systems of equations (65H10) Methods of quasi-Newton type (90C53) Interior-point methods (90C51)

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Uses Software

• L-BFGS
• KELLEY
• Filtrane

Cites Work

• Unnamed Item
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• Unnamed Item
• On the limited memory BFGS method for large scale optimization
• Impact of partial separability on large-scale optimization
• On the truncated conjugate gradient method
• A subspace implementation of quasi-Newton trust region methods for unconstrained optimization
• Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization
• Numerical methods for large-scale nonlinear optimization
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• Numerical Optimization
• On Large Scale Nonlinear Least Squares Calculations
• A Subspace Study on Conjugate Gradient Algorithms

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