A type of modified BFGS algorithm with any rank defects and the local \(Q\)-superlinear convergence properties

DOI10.1007/BF02896471zbMath1110.65050OpenAlexW1987527357MaRDI QIDQ854430

Qiang Guo, Ren-Dong Ge, Zun-Quan Xia

Publication date: 4 December 2006

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02896471

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Methods of successive quadratic programming type (90C55)

Uses Software

• minpack

Cites Work

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• Testing Unconstrained Optimization Software
• Tensor Methods for Unconstrained Optimization Using Second Derivatives
• Quasi-Newton Methods, Motivation and Theory
• Tensor Methods for Large, Sparse Unconstrained Optimization
• Tensor Methods for Equality Constrained Optimization
• Iterative Solution of Nonlinear Equations in Several Variables

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