Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems

Linear Systems ◽

Optimization Problems ◽

Reduced Order ◽

Order Solution

A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems

Applied Mathematics Letters ◽

10.1016/j.aml.2016.04.013 ◽

2016 ◽

Vol 61 ◽

pp. 114-121 ◽

Cited By ~ 14

Author(s):

Zhong Zheng ◽

Guo-Feng Zhang ◽

Mu-Zheng Zhu

Keyword(s):

Linear Systems ◽

Optimization Problems ◽

Complex Linear

Applied Optimization - High Performance Algorithms and Software for Nonlinear Optimization ◽

A Software System for PDE-Constrained Optimization Problems

10.1007/978-1-4613-0241-4_6 ◽

2003 ◽

pp. 129-147

Author(s):

Paul T. Boggs ◽

Kevin R. Long

Keyword(s):

Optimization Problems ◽

Software System ◽

Multigrid One-Shot Method for PDE-Constrained Optimization Problems

Applied Mathematics ◽

10.4236/am.2012.330216 ◽

2012 ◽

Vol 03 (10) ◽

pp. 1565-1571 ◽

Cited By ~ 1

Author(s):

Subhendu Bikash Hazra

Keyword(s):

Optimization Problems ◽

Interior‐point methods and preconditioning for PDE‐constrained optimization problems involving sparsity terms

Numerical Linear Algebra with Applications ◽

10.1002/nla.2276 ◽

2019 ◽

Vol 27 (2) ◽

Cited By ~ 1

Author(s):

John W. Pearson ◽

Margherita Porcelli ◽

Martin Stoll

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Optimization Problems ◽

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems

Computational and Applied Mathematics ◽

10.1007/s40314-020-01379-1 ◽

2020 ◽

Vol 39 (4) ◽

Author(s):

Xiaotong Chen ◽

Xiaoliang Song ◽

Zixuan Chen ◽

Bo Yu

Keyword(s):

Optimization Problems ◽

Elliptic Pde ◽

Multi Level ◽

Admm Algorithm

Transforming smoothers for PDE constrained optimization problems

Computing and Visualization in Science ◽

10.1007/s00791-008-0094-0 ◽

2008 ◽

Vol 11 (4-6) ◽

pp. 207-219 ◽

Cited By ~ 6

Author(s):

Volker Schulz ◽

Gabriel Wittum

Keyword(s):

Optimization Problems ◽

Second-order adjoints for solving PDE-constrained optimization problems

Optimization Methods and Software ◽

10.1080/10556788.2011.610455 ◽

2012 ◽

Vol 27 (4-5) ◽

pp. 625-653 ◽

Cited By ~ 15

Author(s):

Alexandru Cioaca ◽

Mihai Alexe ◽

Adrian Sandu

Keyword(s):

Optimization Problems ◽

Second Order ◽

On the convergence of right transforming iterations for the numerical solution of PDE-constrained optimization problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.788 ◽

2011 ◽

Vol 19 (4) ◽

pp. 621-638

Author(s):

Christopher Linsenmann

Keyword(s):

Numerical Solution ◽

Optimization Problems ◽

On Block Preconditioners for Pde-Constrained Optimization Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1401-cr4 ◽

2014 ◽

Vol 32 (3) ◽

pp. 272-283 ◽

Cited By ~ 2

Author(s):

Xiaoying Zhang and Yumei Huang

Keyword(s):

Optimization Problems ◽

Block Preconditioners

Convergence Analysis Of Gradient Based Iterative Algorithm For Solving Pde Constrained Optimization Problems

Journal of Mathematics and Computer Science ◽

10.22436/jmcs.09.03.05 ◽

2014 ◽

Vol 09 (03) ◽

pp. 203-215

Author(s):

R. Naseri ◽

A. Malek

Keyword(s):

Convergence Analysis ◽

Iterative Algorithm ◽

Optimization Problems ◽

Gradient Based