[图书][B] Dynamics with Inequalities: impacts and hard constraints

DE Stewart - 2011 - SIAM
Hard constraints are represented by inequalities. Hard constraints occur frequently in
practical systems and their models; these hard constraints are often used in optimization …

Smoothing algorithms for complementarity problems over symmetric cones

ZH Huang, T Ni - Computational Optimization and Applications, 2010 - Springer
There recently has been much interest in studying optimization problems over symmetric
cones. In this paper, we first investigate a smoothing function in the context of symmetric …

A regularized smoothing Newton method for symmetric cone complementarity problems

L Kong, J Sun, N Xiu - SIAM Journal on Optimization, 2008 - SIAM
This paper extends the regularized smoothing Newton method in vector complementarity
problems to symmetric cone complementarity problems (SCCP), which includes the …

Some global uniqueness and solvability results for linear complementarity problems over symmetric cones

MS Gowda, R Sznajder - SIAM Journal on Optimization, 2007 - SIAM
This article deals with linear complementarity problems over symmetric cones. Our objective
here is to characterize global uniqueness and solvability properties for linear …

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 …

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 …

The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences

MS Gowda, J Tao - Linear and Multilinear Algebra, 2011 - Taylor & Francis
In this article, based on the min–max theorem of Hirzebruch, we formulate and prove the
Cauchy interlacing theorem in simple Euclidean Jordan algebras. As a consequence, we …

Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search

ZH Huang, SL Hu, JY Han - Science in China Series A: Mathematics, 2009 - Springer
In this paper, we propose a smoothing algorithm for solving the monotone symmetric cone
complementarity problems (SCCP for short) with a nonmonotone line search. We show that …

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 …

Full Nesterov–Todd step feasible interior-point method for the Cartesian P *(κ)-SCLCP

GQ Wang, G Lesaja - Optimization Methods and Software, 2013 - Taylor & Francis
In this paper, we present a feasible interior-point method (IPM) for the Cartesian P*(κ)-linear
complementarity problem over symmetric cones (SCLCP) that is based on the classical …