Modifications of the Wolfe line search rules to satisfy second-order optimality conditions in unconstrained optimization

DOI10.1023/A:1022683605258zbMath0897.90179OpenAlexW217321545MaRDI QIDQ1384067

D. Massart

Publication date: 19 October 1998

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022683605258

zbMATH Keywords

negative curvaturefirst-order optimality conditionsecond-order optimality conditionWolfe conditionsconjugate directions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Cites Work

• Unnamed Item
• A modified Newton method for minimization
• A Globally Convergent Version of REQP for Constrained Minimization
• Curvilinear path steplength algorithms for minimization which use directions of negative curvature
• A modification of Armijo's step-size rule for negative curvature
• On the use of directions of negative curvature in a modified newton method
• Convergence Conditions for Ascent Methods
• Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
• Convergence Conditions for Ascent Methods. II: Some Corrections