scholarly journals Model order reduction with Galerkin projection applied to nonlinear optimization with infeasible primal‐dual interior point method

2019 ◽  
Vol 120 (12) ◽  
pp. 1310-1348
Author(s):  
P.S.B. Nigro ◽  
E.T. Simões ◽  
P.M. Pimenta ◽  
J. Schröder
Keyword(s):  
Nonlinear Optimization ◽  
Interior Point ◽  
Model Order Reduction ◽  
Interior Point Method ◽  
Order Reduction ◽  
Point Method ◽  
Galerkin Projection ◽  
Model Order ◽  
Primal Dual

scholarly journals Certified POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena

2018 ◽  
Author(s):  
Stefan Banholzer ◽  
Eugen Makarov ◽  
Stefan Volkwein
Keyword(s):  
Optimal Control ◽  
Reference Point ◽  
Model Order Reduction ◽  
Optimization Problems ◽  
Order Reduction ◽  
Point Method ◽  
Model Order ◽  
Reference Point Method ◽  
Multiobjective Optimal Control ◽  
Proper Orthogonal

Many optimization problems in applications can be formulated using several objective functions, which are conflicting with each other. This leads to the notion of multiobjective or multicriterial optimization problems. Here, we investigate the application of the Euclidean reference point method in combination with model-order reduction to multiobjective optimal control problems. Since the reference point method transforms the multiobjective optimal control problem into a series of scalar optimization problems, the method of proper orthogonal decomposition (POD) is introduced as an approach for model-order reduction.

scholarly journals Evaluation of Transfer Capability based on Load Supplying Capability Calculation Using Primal-Dual Interior Point Method

2000 ◽  
Vol 120 (8-9) ◽  
pp. 1175-1181
Author(s):  
Min-Hwa Jeong ◽  
Junji Kubokawa ◽  
Naoto Yorino ◽  
Hiroshi Sasaki ◽  
Byongjun Lee ◽  
...  
Keyword(s):  
Interior Point ◽  
Interior Point Method ◽  
Point Method ◽  
Transfer Capability ◽  
Primal Dual

scholarly journals Improved Primal–Dual Interior-Point Method Using the Lawson-Norm for Inverse Problems

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 41053-41061
Author(s):  
Wenjing Shang ◽  
Wei Xue ◽  
Yingsong Li ◽  
Yidong Xu
Keyword(s):  
Inverse Problems ◽  
Interior Point ◽  
Interior Point Method ◽  
Point Method ◽  
Primal Dual

A primal-dual interior-point method for iterative feedback tuning

1999 ◽  
Vol 32 (2) ◽  
pp. 4654-4658 ◽  
Author(s):  
Anders Hansson ◽  
Khalid El-Awady ◽  
Bo Wahlberg
Keyword(s):  
Interior Point ◽  
Interior Point Method ◽  
Point Method ◽  
Primal Dual ◽  
Iterative Feedback
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