Searched for: subject%3A%22kernel%255C+functions%22
(1 - 6 of 6)
document
Lesaja, G. (author), Roos, C. (author)
We present an interior-point method for monotone linear complementarity problems over symmetric cones (SCLCP) that is based on barrier functions which are defined by a large class of univariate functions, called eligible kernel functions. This class is fairly general and includes the classical logarithmic function, the self-regular functions, as...
journal article 2011
document
Lesaja, G. (author), Roos, C. (author)
We present an interior-point method for the P?(?)-linear complementarity problem (LCP) that is based on barrier functions which are defined by a large class of univariate functions called eligible kernel functions. This class is fairly general and includes the classical logarithmic function and the self-regular functions, as well as many non...
journal article 2010
document
Bai, Y.Q. (author), Lesaja, G. (author), Roos, C. (author), Wang, G.Q. (author), El Ghami, M. (author)
In this paper we present a class of polynomial primal-dual interior-point algorithms for linear optimization based on a new class of kernel functions. This class is fairly general and includes the classical logarithmic function, the prototype self-regular function, and non-self-regular kernel functions as special cases. The analysis of the...
journal article 2008
document
Vieira, M.V.C. (author)
In this thesis we present a generalization of interior-point methods for linear optimization based on kernel functions to symmetric optimization. It covers the three standard cases of conic optimization: linear optimization, second-order cone optimization and semi-definite optimization. We give an introduction to Euclidean Jordan algebras and...
doctoral thesis 2007
document
Yakovenko, S.N. (author), Chang, K.C. (author)
In the present study, the surface tension is introduced as volume forces according to the continuum surface force (CSF) model [1] using the surface tension coefficient and the mollified volume fraction (color) function. The latter can be taken in the first approximation as the volume fraction defined numerically due to (possible) smoothing of...
conference paper 2006
document
El Ghami, M. (author)
Two important classes of polynomial-time interior-point method (IPMs) are small- and large-update methods, respectively. The theoretical complexity bound for large-update methods is a factor $\sqrt{n}$ worse than the bound for small-update methods, where $n$ denotes the number of (linear) inequalities in the problem. In practice the situation is...
doctoral thesis 2005
Searched for: subject%3A%22kernel%255C+functions%22
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