Convergence of Broyden-like matrix

DOI10.1016/S0893-9659(98)00076-7zbMath0940.65050OpenAlexW2020311513MaRDI QIDQ1808607

Dong-hui Li, Jin-ping Zeng, S. Z. Zhou

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00076-7

zbMATH Keywords

convergencenonlinear programmingnonlinear equationsBroyden-like methodBroyden-like matrices

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Related Items (5)

Convergence properties of the Broyden-like method for mixed linear-nonlinear systems of equations ⋮ A Kantorovich-type analysis of Broyden's method using recurrent functions ⋮ Solving nonlinear equations with a direct Broyden method and its acceleration ⋮ The Gauss-Newton Methods via Conjugate Gradient Path without Line Search Technique for Solving Nonlinear Systems ⋮ A modified Broyden-like quasi-Newton method for nonlinear equations

Cites Work

• The convergence of matrices generated by rank-2 methods from the restricted \(\beta\)-class of Broyden
• Convergence of quasi-Newton matrices generated by the symmetric rank one update
• The convergence of variable metric matrices in unconstrained optimization
• The “global” convergence of Broyden-like methods with suitable line search
• On the Global Convergence of Broyden's Method
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
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