Numerical solution of special algebraic Riccati equations via an exact line search method

1997 ◽  
Author(s):  
Peter Benner
Keyword(s):  
Numerical Solution ◽  
Line Search ◽  
Riccati Equations ◽  
Search Method ◽  
Algebraic Riccati Equations ◽  
Exact Line Search ◽  
Line Search Method

Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search

2000 ◽  
Vol 26 (10) ◽  
pp. 1345-1368 ◽  
Author(s):  
Peter Benner ◽  
Ralph Byers ◽  
Enrique S Quintana-Ortı́ ◽  
Gregorio Quintana-Ortı́
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Line Search ◽  
Riccati Equations ◽  
Parallel Computers ◽  
Algebraic Riccati Equations ◽  
Exact Line Search

Exact line search method for using the L1-norm misfit function in full waveform inversion

2020 ◽  
Vol 64 (4) ◽  
pp. 483-503
Author(s):  
Xiaona Ma ◽  
Guanghe Liang ◽  
Shanhui Xu ◽  
Zhiyuan Li ◽  
Haixin Feng
Keyword(s):  
Line Search ◽  
Waveform Inversion ◽  
Search Method ◽  
Full Waveform Inversion ◽  
L1 Norm ◽  
Exact Line Search ◽  
Full Waveform ◽  
Line Search Method

scholarly journals A randomized adaptive trust region line search method

2020 ◽  
Vol 10 (2) ◽  
pp. 259-263
Author(s):  
Saman Babaie-Kafaki ◽  
Saeed Rezaee
Keyword(s):  
Simulated Annealing ◽  
Numerical Experiments ◽  
Line Search ◽  
Optimization Problems ◽  
Trust Region ◽  
Search Method ◽  
Test Problems ◽  
Unconstrained Optimization Problems ◽  
Line Search Method ◽  
Region Line

Hybridizing the trust region, line search and simulated annealing methods, we develop a heuristic algorithm for solving unconstrained optimization problems. We make some numerical experiments on a set of CUTEr test problems to investigate efficiency of the suggested algorithm. The results show that the algorithm is practically promising.

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