Title
Geometric views of the generalized Fischer-Burmeister function and its induced merit function.
Abstract
In this paper, we study geometric properties of surfaces of the generalized Fischer–Burmeister function and its induced merit function. Then, a visualization is proposed to explain how the convergent behaviors are influenced by two descent directions in merit function approach. Based on the geometric properties and visualization, we have more intuitive ideas about how the convergent behavior is affected by changing parameter. Furthermore, geometric view indicates how to improve the algorithm to achieve our goal by setting proper value of the parameter in merit function approach.
Year
DOI
Venue
2014
10.1016/j.amc.2014.03.089
Applied Mathematics and Computation
Keywords
Field
DocType
Curvature,Surface,Level curve,NCP-function,Merit function
Mathematical optimization,Curvature,Visualization,Merit function,Mathematics
Journal
Volume
ISSN
Citations 
237
0096-3003
1
PageRank 
References 
Authors
0.36
14
2
Name
Order
Citations
PageRank
Huai-Yin Tsai110.36
Jein-Shan Chen228123.45