The modulus-based matrix splitting iteration methods for second-order cone linear complementarity problems

YF Ke, CF Ma, H Zhang - Numerical Algorithms, 2018 - Springer
For the second-order cone linear complementarity problems, abbreviated as SOCLCPs, we
establish two classes of modulus-based matrix splitting iteration methods, which are …

[PDF][PDF] A survey on SOC complementarity functions and solution methods for SOCPs and SOCCPs

JS Chen, SH Pan - Pacific Journal of Optimization, 2012 - researchgate.net
This paper makes a survey on SOC complementarity functions and related solution methods
for the second-order cone programming (SOCP) and second-order cone complementarity …

The relaxation modulus-based matrix splitting iteration methods for circular cone nonlinear complementarity problems

YF Ke, CF Ma, H Zhang - Computational and Applied Mathematics, 2018 - Springer
In this paper, we study a class of nonlinear complementarity problems associated with
circular cone (CCNCP for short), which is a type of non-symmetric cone complementarity …

The convex and monotone functions associated with second-order cone

JS Chen - Optimization, 2006 - Taylor & Francis
Like the matrix-valued functions used in solutions methods for semidefinite programs (SDPs)
and semidefinite complementarity problems (SDCPs), the vector-valued functions …

A smoothing Newton method with Fischer-Burmeister function for second-order cone complementarity problems

Y Narushima, N Sagara, H Ogasawara - Journal of Optimization Theory …, 2011 - Springer
The second-order cone complementarity problem (SOCCP) is an important class of
problems containing a lot of optimization problems. The SOCCP can be transformed into a …

Complementarity problems over symmetric cones: a survey of recent developments in several aspects

A Yoshise - Handbook on Semidefinite, Conic and Polynomial …, 2012 - Springer
The complementarity problem over a symmetric conic (that we call the Symmetric Conic
Complementarity Problem, or the SCCP) has received much attention of researchers in the …

Thermal properties of sedimentary rocks in the Tarim Basin, northwestern China

X Li, S Liu, C Feng - AAPG Bulletin, 2019 - pubs.geoscienceworld.org
Thermal properties of rocks are essential parameters for investigating the geothermal
regime of sedimentary basins, and they are also important factors in assessments of …

[책][B] SOC functions

JS Chen, JS Chen - 2019 - Springer
During the past two decades, there have been active research for second-order cone
programs (SOCPs) and second-order cone complementarity problems (SOCCPs). Various …

A one-parametric class of merit functions for the second-order cone complementarity problem

JS Chen, S Pan - Computational Optimization and Applications, 2010 - Springer
We investigate a one-parametric class of merit functions for the second-order cone
complementarity problem (SOCCP) which is closely related to the popular Fischer …

A new smoothing Newton-type method for second-order cone programming problems

L Fang, G He, Y Hu - Applied Mathematics and Computation, 2009 - Elsevier
A new smoothing function of the well-known Fischer–Burmeister function is given. Based on
this new function, a smoothing Newton-type method is proposed for solving second-order …