A New Algorithm for Solution of System of Linear Equations
eBook - PDF
Available until 10 Nov |Learn more

A New Algorithm for Solution of System of Linear Equations

Linear Equations

Iftekharul Hoque, Nur-E- Arefin, Saiful Ahmad

  1. 68 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF
Available until 10 Nov |Learn more

A New Algorithm for Solution of System of Linear Equations

Linear Equations

Iftekharul Hoque, Nur-E- Arefin, Saiful Ahmad

Book details
Table of contents
Citations

About This Book

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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Information

Publisher
LAP LAMBERT Academic Publishing
Year
2018
ISBN
9786139946563
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

    Citation styles for A New Algorithm for Solution of System of Linear Equations

    APA 6 Citation

    Hoque, I., Arefin, N.-E.-, & Ahmad, S. (2018). A New Algorithm for Solution of System of Linear Equations (1st ed.). LAP LAMBERT Academic Publishing. Retrieved from https://www.perlego.com/book/3442858 (Original work published 2018)

    Chicago Citation

    Hoque, Iftekharul, Nur-E- Arefin, and Saiful Ahmad. (2018) 2018. A New Algorithm for Solution of System of Linear Equations. 1st ed. LAP LAMBERT Academic Publishing. https://www.perlego.com/book/3442858.

    Harvard Citation

    Hoque, I., Arefin, N.-E.- and Ahmad, S. (2018) A New Algorithm for Solution of System of Linear Equations. 1st edn. LAP LAMBERT Academic Publishing. Available at: https://www.perlego.com/book/3442858 (Accessed: 5 July 2024).

    MLA 7 Citation

    Hoque, Iftekharul, Nur-E- Arefin, and Saiful Ahmad. A New Algorithm for Solution of System of Linear Equations. 1st ed. LAP LAMBERT Academic Publishing, 2018. Web. 5 July 2024.