A New Algorithm for Solution of System of Linear Equations: Linear Equations - Couverture souple

Hoque, Iftekharul; Arefin, Nur-E-; Ahmad, Saiful

 
9786139946563: A New Algorithm for Solution of System of Linear Equations: Linear Equations
Couverture souple
ISBN 10 : 6139946565 ISBN 13 : 9786139946563
Editeur : LAP LAMBERT Academic Publishing, 2018

Synopsis

Systems of linear equations are used in a variety of fields. The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. This thesis is aimed at analyzing the available methods for solving a system of linear equations of the form nxn. Using a couple of iterative and/or direct methods, implement a program for these methods that could be run for different dimension size n of system of linear equation . At the end, a graph can be plotted with time taken for execution of a method considered V/s dimension size n. In this contribution, we develop a solution that does not involve direct matrix inversion. The iterative nature of our approach allows for a distributed message-passing implementation of the solution algorithm. We present test results which show that our solver achieves good results, both in terms of numerical accuracy as well as computing time. Furthermore, even very large systems (n ≤ 1000) can be solved given a cluster with sufficient resources.

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Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2018
Langue
anglais
ISBN 10 
6139946565
ISBN 13 
9786139946563
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
non disponible
Personne responsable
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