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A New Algorithm for Solution of System of Linear Equations

By Jannatul Maowa

A New Algorithm for Solution of System of Linear Equations

By Jannatul Maowa

0 - Default Title
Description
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 n x n. 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.
Product details
Binding:
Paperback
Number of Pages:
72
Release Date:
2025-11-03
Publication Date:
2025-11-03
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
6209188915
ISBN13:
9786209188916
Weight:
125 g
Height:
150 cm
Width:
220 cm
Thickness:
5 cm
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