A tool for the analysis of Quasi-Newton methods with application to unconstrained minimization

Global Convergence Analysis of a New Nonmonotone BFGS Algorithm on Convex Objective Functions

Computational Optimization and Applications

Global and Superlinear Convergence of a Restricted Class of Self-Scaling Methods with Inexact Line Searches, for Convex Functions

Computational Optimization and Applications

A Piecewise Line-Search Technique for Maintaining the Positive Definitenes of the Matrices in the SQP Method

Computational Optimization and Applications

Convergence of the Nonmonotone Perry and Shanno Method for Optimization

Computational Optimization and Applications

A Study of the Dennis-Wolkowicz Method on Convex Functions

Computational Optimization and Applications

A Quasi-Newton Penalty Barrier Method for Convex Minimization Problems

Computational Optimization and Applications

The Superlinear Convergence of a Modified BFGS-Type Method for Unconstrained Optimization

Computational Optimization and Applications

A new backtracking inexact BFGS method for symmetric nonlinear equations

Computers & Mathematics with Applications

A limited memory BFGS-type method for large-scale unconstrained optimization

Computers & Mathematics with Applications

Convergence analysis of the Levenberg-Marquardt method

Optimization Methods & Software

A norm descent BFGS method for solving KKT systems of symmetric variational inequality problems

Optimization Methods & Software

A practical update criterion for SQP method

Optimization Methods & Software

A new class of quasi-Newton updating formulas

Optimization Methods & Software - Dedicated to Professor Michael J.D. Powell on the occasion of his 70th birthday

Two derivative-free algorithms for nonlinear equations

Optimization Methods & Software

Solving the quadratic trust-region subproblem in a low-memory BFGS framework

Optimization Methods & Software - THE JOINT EUROPT-OMS CONFERENCE ON OPTIMIZATION, 4-7 JULY, 2007, PRAGUE, CZECH REPUBLIC, PART I

Global convergence of the nonmonotone MBFGS method for nonconvex unconstrained minimization

Journal of Computational and Applied Mathematics

Duality in quasi-Newton methods and new variational characterizations of the DFP and BFGS updates

Optimization Methods & Software

A globally convergent BFGS method with nonmonotone line search for non-convex minimization

Journal of Computational and Applied Mathematics

Convergence analysis of a modified BFGS method on convex minimizations

Computational Optimization and Applications

Global Convergence of a New Hybrid Gauss-Newton Structured BFGS Method for Nonlinear Least Squares Problems

SIAM Journal on Optimization

A reduced Hessian SQP method for inequality constrained optimization

Computational Optimization and Applications

Global convergence of a modified Hestenes-Stiefel nonlinear conjugate gradient method with Armijo line search

Numerical Algorithms

Limited memory BFGS method with backtracking for symmetric nonlinear equations

Mathematical and Computer Modelling: An International Journal

Modifying the BFGS method

Operations Research Letters

Spectral-scaling quasi-Newton methods with updates from the one parameter of the Broyden family

Journal of Computational and Applied Mathematics

A regularized limited memory BFGS method for nonconvex unconstrained minimization

Numerical Algorithms