sigma term
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2021 ◽  
Vol 127 (24) ◽  
Author(s):  
Rajan Gupta ◽  
Sungwoo Park ◽  
Martin Hoferichter ◽  
Emanuele Mereghetti ◽  
Boram Yoon ◽  
...  
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2020 ◽  
Vol 101 (5) ◽  
Author(s):  
Jing-Hui Huang ◽  
Ting-Ting Sun ◽  
Huan Chen


2018 ◽  
Vol 783 ◽  
pp. 7-12 ◽  
Author(s):  
Xiu-Lei Ren ◽  
Xi-Zhe Ling ◽  
Li-Sheng Geng


2018 ◽  
Vol 35 (03) ◽  
pp. 1850009 ◽  
Author(s):  
Qi Zhao ◽  
Zhongwen Chen

A sequentially semidefinite programming method is proposed for solving nonlinear semidefinite programming problem (NLSDP). Inspired by the sequentially quadratic programming (SQP) method, the algorithm generates a search direction by solving a quadratic semidefinite programming subproblem at each iteration. The [Formula: see text] exact penalty function and a line search strategy are used to determine whether the trial step can be accepted or not. Under mild assumptions, the proposed algorithm is globally convergent. In order to avoid the Maratos effect, we present a modified SQP-type algorithm with the second-order correction step and prove that the fast local superlinear convergence can be obtained under the strict complementarity and the second-order sufficient condition with the sigma term. Finally, some numerical experiments are given to show the effectiveness of the algorithm.



2018 ◽  
Author(s):  
Jacobo Ruiz de Elvira ◽  
Martin Hoferichter ◽  
Bastian Kubis ◽  
Ulf-G.\ Mei{\ss}ner


2017 ◽  
Vol 96 (7) ◽  
Author(s):  
T. J. Hobbs ◽  
Mary Alberg ◽  
Gerald A. Miller


2016 ◽  
Vol 93 (11) ◽  
Author(s):  
Shaorong Duan ◽  
C. S. An ◽  
B. Saghai
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2016 ◽  
Vol 93 (3) ◽  
Author(s):  
S. Dürr ◽  
Z. Fodor ◽  
T. Hemmert ◽  
C. Hoelbling ◽  
J. Frison ◽  
...  


2014 ◽  
Author(s):  
Veljko Dmitrasinovic
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