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Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices
The SDLCP (semidefinite linear complementarity problem) in symmetric matrices introduced
in this paper provides a unified mathematical model for various problems arising from …
in this paper provides a unified mathematical model for various problems arising from …
Modulus-based matrix splitting methods for horizontal linear complementarity problems
In this paper, we extend modulus-based matrix splitting iteration methods to horizontal linear
complementarity problems. We consider both standard and accelerated methods and …
complementarity problems. We consider both standard and accelerated methods and …
The extended linear complementarity problem
We consider an extension of the horizontal linear complementarity problem, which we call
the extended linear complementarity problem (XLCP). With the aid of a natural bilinear …
the extended linear complementarity problem (XLCP). With the aid of a natural bilinear …
On convergence of the modulus-based matrix splitting iteration method for horizontal linear complementarity problems of H+-matrices
Horizontal linear complementarity problem has wide applications, such as in mechanical
and electrical engineering, structural mechanics, piecewise linear system …
and electrical engineering, structural mechanics, piecewise linear system …
The extended linear complementarity problem
In this paper we define the Extended Linear Complementarity Problem (ELCP), an extension
of the well-known Linear Complementarity Problem (LCP). We show that the ELCP can be …
of the well-known Linear Complementarity Problem (LCP). We show that the ELCP can be …
A generalization of irreducibility and diagonal dominance with applications to horizontal and vertical linear complementarity problems
In this paper, we generalize and analyze the concepts of diagonal dominance and
irreducibility in the framework of column and row representative matrices of a set. Our …
irreducibility in the framework of column and row representative matrices of a set. Our …
Splitting methods for a class of horizontal linear complementarity problems
In this paper, we propose two splitting methods for solving horizontal linear complementarity
problems characterized by matrices with positive diagonal elements. The proposed …
problems characterized by matrices with positive diagonal elements. The proposed …
Modulus‐based synchronous multisplitting methods for solving horizontal linear complementarity problems on parallel computers
F Mezzadri - Numerical Linear Algebra with Applications, 2020 - Wiley Online Library
In this article, we generalize modulus‐based synchronous multisplitting methods to
horizontal linear complementarity problems. In particular, first we define the methods of our …
horizontal linear complementarity problems. In particular, first we define the methods of our …
On the extended linear complementarity problem
MS Gowda - Mathematical Programming, 1996 - Springer
For the extended linear complementarity problem (Mangasarian and Pang, 1995), we
introduce and characterize column-sufficiency, row-sufficiency and P-properties. These …
introduce and characterize column-sufficiency, row-sufficiency and P-properties. These …
A modulus-based nonsmooth Newton's method for solving horizontal linear complementarity problems
In this paper, we introduce and analyze a modulus-based nonsmooth Newton's method for
solving horizontal linear complementarity problems. In particular, we propose both a …
solving horizontal linear complementarity problems. In particular, we propose both a …