Beschreibung
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.
Autorenporträt
Md. Iftekharul Hoque is currently pursuing his master degree from University of California, New York. He has various research papers and publications. Among them, ''A New Algorithm for Solution of System of Linear Equations'' was done during his bachelor degree.
Herstellerkennzeichnung:
BoD - Books on Demand
In de Tarpen 42
22848 Norderstedt
DE
E-Mail: info@bod.de
