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Article
Tomato rootstock effects on gene expression patterns in eggplant scions
The grafting technique has been used in agriculture since ancient time to improve horticultural crops. Nonetheless, the mechanism by which the rootstocks impact the traits of scions remains elusive. Here, usin...
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Article
Endosperm-specific hypomethylation, and meiotic inheritance and variation of DNA methylation level and pattern in sorghum (Sorghum bicolor L.) inter-strain hybrids
Understanding dynamics and inheritance of DNA methylation represents important facets for elucidating epigenetic paradigms in plant development and evolution. Using four sets of sorghum (Sorghum bicolor L.) inter...
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Article
Collusive game solutions via optimization
A Nash-based collusive game among a finite set of players is one in which the players coordinate in order for each to gain higher payoffs than those prescribed by the Nash equilibrium solution. In this paper, ...
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Article
Inexact algorithm for continuous complementarity problems on measure spaces
In this paper, we discuss a type of complementarity problem posed over a measure space. We give some conditions under which there exists a solution for the problem and work toward a new inexact algorithm for i...
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Article
A globally convergent Newton method for convex SC1 minimization problems
This paper presents a globally convergent and locally superlinearly convergent method for solving a convex minimization problem whose objective function has a semismooth but nondifferentiable gradient. Applica...
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Article
Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets
In this paper, we derive some further differentiability properties of solutions to a parametric variational inequality problem defined over a polyhedral set. We discuss how these results can be used to establi...
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Article
More results on the convergence of iterative methods for the symmetric linear complementarity problem
In an earlier paper, the author has given some necessary and sufficient conditions for the convergence of iterative methods for solving the linear complementarity problem. These conditions may be viewed as glo...
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Chapter
Linear complementarity problems solvable by a polynomially bounded pivoting algorithm
A sufficient condition is given under which the parametric principal pivoting algorithm will compute the unique solution to a linear complementarity problem defined by an n by n P-matrix in no more than n pivots....
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Article
Necessary and sufficient conditions for the convergence of iterative methods for the linear complementarity problem
Necessary and sufficient conditions are established for the convergence of various iterative methods for solving the linear complementarity problem. The fundamental tool used is the classical notion of matrix ...
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Article
Iterative methods for variational and complementarity problems
In this paper, we study both the local and global convergence of various iterative methods for solving the variational inequality and the nonlinear complementarity problems. Included among such methods are the...
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Article
On the convergence of a basic iterative method for the implicit complementarity problem
In Part 1 of this study (Ref. 1), we have defined the implicit complementarity problem and investigated its existence and uniqueness of solution. In the present paper, we establish a convergence theory for a c...
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Chapter
On the convergence of a block successive over-relaxation method for a class of linear complementarity problems
This paper develops a reduced block successive overrelaxation method for solving a class of (large-scale) linear complementarity problems. The main new feature of the method is that it contains certain reducti...
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Article
On the solution of some (parametric) linear complementarity problems with applications to portfolio selection, structural engineering and actuarial graduation
In this paper we discuss three applications of a class of (parametric) linear complementarity problems arising independently from such diverse areas as portfolio selection, structural engineering and actuarial...