Global convergence analysis of the aggregate constraint homotopy method for nonlinear programming problems with both inequality and equality constraints

Optimization ◽  
2018 ◽  
Vol 67 (8) ◽  
pp. 1247-1264
Author(s):  
Zhengyong Zhou ◽  
Menglong Su ◽  
Yufeng Shang ◽  
Fenghui Wang
Keyword(s):  
Nonlinear Programming ◽  
Global Convergence ◽  
Convergence Analysis ◽  
Homotopy Method ◽  
Equality Constraints ◽  
Global Convergence Analysis

Global convergence analysis for the NIC flow

2001 ◽  
Vol 49 (10) ◽  
pp. 2422-2430 ◽  
Author(s):  
Wanquan Liu ◽  
Wei-Yong Yan ◽  
V. Sreeram ◽  
Kok Lay Tao
Keyword(s):  
Global Convergence ◽  
Convergence Analysis ◽  
Global Convergence Analysis

scholarly journals On the Theoretical Analysis of the Plant Propagation Algorithms

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Sulaiman ◽  
Abdellah Salhi ◽  
Asfandyar Khan ◽  
Shakoor Muhammad ◽  
Wali Khan
Keyword(s):  
Global Convergence ◽  
Theoretical Analysis ◽  
Convergence Analysis ◽  
Benchmark Problems ◽  
Search Problem ◽  
Plant Propagation ◽  
Growing Body ◽  
Global Convergence Analysis ◽  
Theoretical Insight ◽  
Insight Into

Plant Propagation Algorithms (PPA) are powerful and flexible solvers for optimisation problems. They are nature-inspired heuristics which can be applied to any optimisation/search problem. There is a growing body of research, mainly experimental, on PPA in the literature. Little, however, has been done on the theoretical front. Given the prominence this algorithm is gaining in terms of performance on benchmark problems as well as practical ones, some theoretical insight into its convergence is needed. The current paper is aimed at fulfilling this by providing a sketch for a global convergence analysis.

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