Deterministic global optimization with partition sets whose feasibility is not known: Application to concave minimization, reverse convex constraints, DC-programming, and Lipschitzian optimization

R. Horst

doi:10.1007/bf00939768

Deterministic global optimization with partition sets whose feasibility is not known: Application to concave minimization, reverse convex constraints, DC-programming, and Lipschitzian optimization

Journal of Optimization Theory and Applications ◽

10.1007/bf00939768 ◽

1988 ◽

Vol 58 (1) ◽

pp. 11-37 ◽

Cited By ~ 56

Author(s):

R. Horst

Keyword(s):

Global Optimization ◽

Concave Minimization ◽

Dc Programming ◽

Deterministic Global Optimization ◽

Convex Constraints ◽

Reverse Convex Constraints ◽

Lipschitzian Optimization ◽

Reverse Convex

Download Full-text

Optimality conditions for DC programming problems with reverse convex constraints

Nonlinear Analysis ◽

10.1016/j.na.2012.11.025 ◽

2013 ◽

Vol 80 ◽

pp. 18-27 ◽

Cited By ~ 5

Author(s):

Yusuke Saeki ◽

Daishi Kuroiwa

Keyword(s):

Optimality Conditions ◽

Dc Programming ◽

Convex Constraints ◽

Reverse Convex Constraints ◽

Reverse Convex

Download Full-text

GLOBAL OPTIMIZATION PROBLEM WITH MULTIPLE REVERSE CONVEX CONSTRAINTS AND ITS APPLICATION TO OUT-OF-ROUNDNESS PROBLEM

Journal of the Operations Research Society of Japan ◽

10.15807/jorsj.39.356 ◽

1996 ◽

Vol 39 (3) ◽

pp. 356-371 ◽

Cited By ~ 3

Author(s):

Yang Dai ◽

Jianming Shi ◽

Yoshitsugu Yamamoto

Keyword(s):

Global Optimization ◽

Optimization Problem ◽

Global Optimization Problem ◽

Convex Constraints ◽

Reverse Convex Constraints ◽

Reverse Convex

Download Full-text

On tackling reverse convex constraints for non-overlapping of unequal circles

Journal of Global Optimization ◽

10.1007/s10898-020-00976-y ◽

2021 ◽

Author(s):

Akang Wang ◽

Chrysanthos E. Gounaris

Keyword(s):

Convex Constraints ◽

Reverse Convex Constraints ◽

Reverse Convex

Download Full-text

Characterizing Set Containments Involving Infinite Convex Constraints and Reverse-Convex Constraints

SIAM Journal on Optimization ◽

10.1137/s1052623402401944 ◽

2003 ◽

Vol 13 (4) ◽

pp. 947-959 ◽

Cited By ~ 53

Author(s):

V. Jeyakumar

Keyword(s):

Convex Constraints ◽

Reverse Convex Constraints ◽

Reverse Convex

Download Full-text

Convergent cutting planes for linear programs with additional reverse convex constraints

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

10.1007/bfb0008900 ◽

2005 ◽

pp. 263-272 ◽

Cited By ~ 1

Author(s):

M. C. Böhringer ◽

S. E. Jacobsen

Keyword(s):

Cutting Planes ◽

Linear Programs ◽

Convex Constraints ◽

Reverse Convex Constraints ◽

Reverse Convex

Download Full-text

Solving nonconvex nonlinear programs with reverse convex constraints by sequential linear programming

International Transactions in Operational Research ◽

10.1111/itor.12736 ◽

2019 ◽

Vol 27 (3) ◽

pp. 1320-1342 ◽

Cited By ~ 1

Author(s):

Zvi Drezner ◽

Pawel Kalczynski

Keyword(s):

Linear Programming ◽

Sequential Linear Programming ◽

Convex Constraints ◽

Nonlinear Programs ◽

Reverse Convex Constraints ◽

Reverse Convex

Download Full-text

Optimality Conditions for D.C. Vector Optimization Problems Under Reverse Convex Constraints

Journal of Global Optimization ◽

10.1007/s10898-004-8318-4 ◽

2005 ◽

Vol 33 (4) ◽

pp. 527-540 ◽

Cited By ~ 10

Author(s):

N. Gadhi ◽

M. Laghdir ◽

A. Metrane

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Convex Constraints ◽

Reverse Convex Constraints ◽

Reverse Convex

Download Full-text

Deterministic global optimization for error-in-variables parameter estimation

AIChE Journal ◽

10.1002/aic.690480607 ◽

2002 ◽

Vol 48 (6) ◽

pp. 1192-1197 ◽

Cited By ~ 34

Author(s):

Chao-Yang Gau ◽

Mark A. Stadtherr

Keyword(s):

Global Optimization ◽

Parameter Estimation ◽

Deterministic Global Optimization ◽

Error In Variables

Download Full-text

Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part II: Convergence analysis and numerical results

Journal of Global Optimization ◽

10.1007/s10898-013-0120-8 ◽

2014 ◽

Vol 60 (3) ◽

pp. 459-481 ◽

Cited By ~ 14

Author(s):

Polyxeni-M. Kleniati ◽

Claire S. Adjiman

Keyword(s):

Global Optimization ◽

Convergence Analysis ◽

Optimization Algorithm ◽

Bilevel Programming ◽

Numerical Results ◽

Deterministic Global Optimization ◽

Global Optimization Algorithm ◽

Bilevel Programming Problems

Download Full-text

Review on the monograph Deterministic Global Optimization: An Introduction to the Diagonal Approach, Springer, 2017, written by Yaroslav D. Sergeyev and Dmitri E. Kvasov

Journal of Global Optimization ◽

10.1007/s10898-021-01005-2 ◽

2021 ◽

Author(s):

Timoleon Kipouros

Keyword(s):

Global Optimization ◽

Deterministic Global Optimization ◽

Diagonal Approach

Download Full-text