Primal-dual interior-point methods for PDE-constrained optimization

Mathematical Programming ◽

10.1007/s10107-007-0168-7 ◽

2007 ◽

Vol 117 (1-2) ◽

pp. 435-485 ◽

Author(s):

Michael Ulbrich ◽

Stefan Ulbrich

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Interior Point Methods ◽

Pde Constrained Optimization ◽

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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) ◽

Author(s):

John W. Pearson ◽

Margherita Porcelli ◽

Martin Stoll

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Interior Point Methods ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization

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Function space interior point methods for PDE constrained optimization

PAMM ◽

10.1002/pamm.200410011 ◽

2004 ◽

Vol 4 (1) ◽

pp. 43-46 ◽

Author(s):

Martin Weiser ◽

Anton Schiela

Keyword(s):

Constrained Optimization ◽

Function Space ◽

Interior Point ◽

Interior Point Methods ◽

Pde Constrained Optimization

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Superlinear and quadratic convergence of some primal-dual interior point methods for constrained optimization

Mathematical Programming ◽

10.1007/bf02592190 ◽

1996 ◽

Vol 75 (3) ◽

pp. 377-397 ◽

Author(s):

Hiroshi Yamashita ◽

Hiroshi Yabe

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Quadratic Convergence ◽

Interior Point Methods ◽

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Adaptive Multilevel Interior-Point Methods in PDE Constrained Optimization

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVIII ◽

10.1007/978-3-642-02677-5_2 ◽

2009 ◽

pp. 15-26 ◽

Author(s):

Harbir Antil ◽

Ronald H. W. Hoppe ◽

Christopher Linsenmann

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Interior Point Methods ◽

Pde Constrained Optimization

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Convergence of Affine-Scaling Interior-Point Methods with Line Search for Box Constrained Optimization

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.532269 ◽

2011 ◽

Vol 32 (2) ◽

pp. 155-176 ◽

Author(s):

Zhongwen Chen ◽

Quan Liu

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Line Search ◽

Interior Point Methods ◽

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Primal-Dual Affine Scaling Interior Point Methods for Linear Complementarity Problems

SIAM Journal on Optimization ◽

10.1137/060670341 ◽

2008 ◽

Vol 19 (1) ◽

pp. 114-143 ◽

Author(s):

Florian A. Potra

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Affine Scaling ◽

Dual Affine ◽

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Correlative Sparsity in Primal-Dual Interior-Point Methods for LP, SDP, and SOCP

Applied Mathematics & Optimization ◽

10.1007/s00245-007-9030-9 ◽

2007 ◽

Vol 58 (1) ◽

pp. 69-88 ◽

Author(s):

Kazuhiro Kobayashi ◽

Sunyoung Kim ◽

Masakazu Kojima

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

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Primal-Dual Interior-Point Methods for Semidefinite Programming in Finite Precision

SIAM Journal on Optimization ◽

10.1137/s105262349731950x ◽

2000 ◽

Vol 10 (2) ◽

pp. 462-502 ◽

Author(s):

Ming Gu

Keyword(s):

Semidefinite Programming ◽

Interior Point ◽

Interior Point Methods ◽

Finite Precision ◽

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Primal-dual interior point QP-free algorithm for nonlinear constrained optimization

Journal of Inequalities and Applications ◽

10.1186/s13660-017-1500-2 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Jinbao Jian ◽

Hanjun Zeng ◽

Guodong Ma ◽

Zhibin Zhu

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Nonlinear Constrained Optimization ◽

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Superlinear and quadratic convergence of primal-dual interior-point methods for linear programming revisited

Journal of Optimization Theory and Applications ◽

10.1007/bf00940179 ◽

1992 ◽

Vol 73 (2) ◽

pp. 229-242 ◽

Author(s):

Y. Zhang ◽

R. A. Tapia

Keyword(s):

Linear Programming ◽

Interior Point ◽

Quadratic Convergence ◽

Interior Point Methods ◽

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