Global convergence and stabilization of unconstrained minimization methods without derivatives

1988 ◽  
Vol 56 (3) ◽  
pp. 385-406 ◽  
Author(s):  
L. Grippo ◽  
F. Lampariello ◽  
S. Lucidi
Keyword(s):  
Global Convergence ◽  
Unconstrained Minimization ◽  
Minimization Methods

scholarly journals Iterative methods for computing generalized inverses related with optimization methods

2005 ◽  
Vol 78 (2) ◽  
pp. 257-272 ◽  
Author(s):  
Dragan S. Djordjević ◽  
Predrag S. Stanimirović
Keyword(s):  
Iterative Methods ◽  
Unconstrained Minimization ◽  
Optimization Methods ◽  
Second Order ◽  
Steepest Descent ◽  
Generalized Inverses ◽  
Minimization Methods ◽  
Second Order Methods

AbstractWe develop several iterative methods for computing generalized inverses using both first and second order optimization methods in C*-algebras. Known steepest descent iterative methods are generalized in C*-algebras. We introduce second order methods based on the minimization of the norms ‖Ax − b‖2 and ‖x‖2 by means of the known second order unconstrained minimization methods. We give several examples which illustrate our theory.

Sign in / Sign up

Export Citation Format

Share Document