Solving Infinite-dimensional Optimization Problems by Polynomial Approximation

Recent Advances in Optimization and its Applications in Engineering ◽

10.1007/978-3-642-12598-0_3 ◽

2010 ◽

pp. 31-40 ◽

Cited By ~ 9

Author(s):

Olivier Devolder ◽

François Glineur ◽

Yurii Nesterov

Keyword(s):

Polynomial Approximation ◽

Optimization Problems ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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Duality Bounds in Robustness Analysis**The original version of this paper was presented at the 13th IFAC World Congress, which was held in San Francisco, U.S.A., during June 30 – July 5, 1996. The published proceedings of this IFAC meeting may be ordered from: Elsevier Science Limited, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, UK. This paper was recommended for publication in revised form by Associate Editor Roberto Tempo under the direction of Editor Ruth. F. Curtain,11Duality theory is used to obtain bounds for an important class of infinite-dimensional optimization problems in robustness analysis.

Automatica ◽

10.1016/s0005-1098(97)00102-7 ◽

1997 ◽

Vol 33 (10) ◽

pp. 1835-1844 ◽

Cited By ~ 10

Author(s):

ULF JÖNSSON ◽

ANDERS RANTZER

Keyword(s):

San Francisco ◽

Optimization Problems ◽

Robustness Analysis ◽

Associate Editor ◽

Original Version ◽

Important Class ◽

World Congress ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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Duality and optimality conditions for infinite dimensional optimization problems

System Modelling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0035491 ◽

1994 ◽

pp. 423-436 ◽

Cited By ~ 1

Author(s):

Armin Hoffmann

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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A generalization of multiplier rules for infinite-dimensional optimization problems

Optimization ◽

10.1080/02331934.2020.1755863 ◽

2020 ◽

pp. 1-11

Author(s):

Hasan Yilmaz

Keyword(s):

Optimization Problems ◽

Infinite Dimensional ◽

Multiplier Rules ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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Deformation method for the investigation of infinite-dimensional optimization problems

Mathematical Notes ◽

10.1007/bf01208334 ◽

1993 ◽

Vol 53 (2) ◽

pp. 240-241

Author(s):

V. I. Skalyga

Keyword(s):

Optimization Problems ◽

Deformation Method ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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The lagrange-newton method for infinite-dimensional optimization problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630569008816371 ◽

1990 ◽

Vol 11 (3-4) ◽

pp. 201-224 ◽

Cited By ~ 38

Author(s):

Walter Alt

Keyword(s):

Newton Method ◽

Optimization Problems ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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Infinite Penalization for Optimal Control Problems: An infinite-dimensional optimization method for constrained optimization problems

PAMM ◽

10.1002/pamm.201310274 ◽

2013 ◽

Vol 13 (1) ◽

pp. 587-588 ◽

Cited By ~ 1

Author(s):

Martin Gugat ◽

Michael Herty

Keyword(s):

Optimal Control ◽

Constrained Optimization ◽

Optimal Control Problems ◽

Optimization Problems ◽

Optimization Method ◽

Control Problems ◽

Constrained Optimization Problems ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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How to Check Numerically the Sufficient Optimality Conditions for Infinite-dimensional Optimization Problems

Optimal Control of Coupled Systems of Partial Differential Equations ◽

10.1007/978-3-7643-8923-9_17 ◽

2009 ◽

pp. 297-317 ◽

Cited By ~ 3

Author(s):

Daniel Wachsmuth ◽

Arnd Rösch

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Sufficient Optimality Conditions ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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Directional Lipschitzian optimal solution of infinite-dimensional optimization problems

Applied Mathematics Letters ◽

10.1016/s0893-9659(98)00113-x ◽

1998 ◽

Vol 11 (6) ◽

pp. 123-128 ◽

Cited By ~ 1

Author(s):

S. Hilout

Keyword(s):

Optimization Problems ◽

Optimal Solution ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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On the convexification procedure for nonconvex and nonsmooth infinite dimensional optimization problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90359-8 ◽

1991 ◽

Vol 161 (1) ◽

pp. 28-34 ◽

Cited By ~ 3

Author(s):

Helmut Dietrich

Keyword(s):

Optimization Problems ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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Stability and sensitivity analysis of solutions to infinite-dimensional optimization problems

System Modelling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0035462 ◽

1994 ◽

pp. 109-127 ◽

Cited By ~ 2

Author(s):

K. Malanowski

Keyword(s):

Sensitivity Analysis ◽

Optimization Problems ◽

Infinite Dimensional ◽

Dimensional Optimization ◽

Infinite Dimensional Optimization

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