On the rate of superlinear convergence of a class of variable metric methods

1980 ◽  
Vol 35 (3) ◽  
pp. 293-313 ◽  
Author(s):  
Klaus Ritter
Keyword(s):  
Superlinear Convergence ◽  
Variable Metric Methods ◽  
Variable Metric

scholarly journals Variable metric methods of minimisation

1969 ◽  
Vol 12 (2) ◽  
pp. 171-178 ◽  
Author(s):  
J. D. Pearson
Keyword(s):  
Variable Metric Methods ◽  
Variable Metric

A Generalized Return Vector for Projection Methods in Optimization With Nonlinear Constraints

1976 ◽  
Vol 98 (3) ◽  
pp. 816-819
Author(s):  
K. T. A. Ho ◽  
M. A. Townsend
Keyword(s):  
Objective Function ◽  
Nonlinear Optimization ◽  
Projection Methods ◽  
Feasible Region ◽  
Nonlinear Constraints ◽  
Variable Metric Methods ◽  
Variable Metric ◽  
Numerical Example ◽  
Constrained Nonlinear Optimization

Variable metric methods can be adapted to constrained nonlinear optimization by incorporating projection methods and a return vector when the indicated next step leaves the feasible region. A generalized return vector is developed here which yields a superior return to the feasible region in terms of the metric associated with the objective function. It is shown that a better point results and faster convergence is expected. A numerical example is given.

scholarly journals Convergence property of a class of variable metric methods

2004 ◽  
Vol 17 (4) ◽  
pp. 437-442 ◽  
Author(s):  
Zhong-Zhi Zhang ◽  
Ding-Hua Cao ◽  
Jin-Ping Zeng
Keyword(s):  
Convergence Property ◽  
Variable Metric Methods ◽  
Variable Metric
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