Projection Methods for Oversized Linear Algebra Problems Projection Methods for Over

Projection Inequalities and Their Linear Preservers

This paper introduces an inequality on vectors in $mathbb{R}^n$ which compares vectors in $mathbb{R}^n$ based on the $p$-norm of their projections on $mathbb{R}^k$ ($kleq n$). For $p>0$, we say $x$ is $d$-projectionally less than or equal to $y$ with respect to $p$-norm if $sum_{i=1}^kvert x_ivert^p$ is less than or equal to $ sum_{i=1}^kvert y_ivert^p$, for every $dleq kleq n$. For...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Mapping Strategies in Data Parallel Programming Models; the Projection Methods

We Analyze data parallel programming of some general purpose methods in linear algebra. Specifically , the projection methods to solve very large linear system and/or eigenproblem. The expensive parts of these methods are their projection phases. This portion of these algorithms has generally, a very simple structure for such a programming model. It is composed essentially of matrix-vector mult...

Modelling Decision Problems Via Birkhoff Polyhedra

A compact formulation of the set of tours neither in a graph nor its complement is presented and illustrates a general methodology proposed for constructing polyhedral models of decision problems based upon permutations, projection and lifting techniques. Directed Hamilton tours on n vertex graphs are interpreted as (n-1)- permutations. Sets of extrema of Birkhoff polyhedra are mapped to tours ...

Isolated Persian/Arabic handwriting characters: Derivative projection profile features, implemented on GPUs

For many years, researchers have studied high accuracy methods for recognizing the handwriting and achieved many significant improvements. However, an issue that has rarely been studied is the speed of these methods. Considering the computer hardware limitations, it is necessary for these methods to run in high speed. One of the methods to increase the processing speed is to use the computer pa...