Study on the solution of linear system of equations and the comparison between iterative methods
 |
International Journal of Computer & Organization Trends (IJCOT) | 
|
| © 2015 by IJCOT Journal | ||
| Volume - 5 Issue - 2 |
||
| Year of Publication : 2015 | ||
| Authors : R. Udayakumar, R. Sundararajan, M.Prabha | ||
| DOI : 10.14445/22492593/IJCOT-V19P304 |
Citation
R. Udayakumar, R. Sundararajan, M.Prabha"Study on the solution of linear system of equations and the comparison between iterative methods", International Journal of Computer & organization Trends (IJCOT), V5(2):44-48 Mar - Apr 2015, ISSN:2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.
Abstract - In this article we have studied a comparison study on linear system of equations. The Present investigation is intended to study a comparative statement between two methods of finding the matrix inverse. Numerical examples are provided for the methods.
References
[1] B.S. Grewal, Numerical methods in Engineering & Science, 1996, Khanna Publishers, Delhi.
[2] H.C.E.S.C. Einsenstan and M.H. Schultz, Varational Iterative methods for non-symmetric systems of linear equations, SIAM.J.Numer.Anal., 1983, 345-357.
[3] I. Kalambi, Solutions of simultaneous equations by iterative methods. 1998.
[4] I.M. Beale, Introduction to optimization, Published by John Wiley and sons Ltd (1988).
[5] Ibrahim.B.Kalambi, A comparison of three Iterative methods for the solution of Linear equations, Journal of Appl. Sci. Environ. Manage, 2008, vol.12 (4), 53-55.
[6] J.N.Sharma, Numerical methods for engineers and Scientists, 2007, 2nd edition, Narosa Publishing House Pvt, Ltd, NewDelhi.
[7] Motzkin and Schoenberg, The relaxation method for linear inequalities, Canadian Journal Mathematics, 1954, 393-404.
[8] Noreen Jamil, A comparison of direct and indirect solvers for linear system of equations, International Journal of Emerging Science, 2012, 2(2), 310-321.
[9] P.R. Turner, Guide to Numerical Analysis, Macmilan Educatin Ltd., HongKong.
[10] W. Arnoldi, The principle of minimized iteration in the solution of the matrix eigen value problems, Appl. Math., 1951, 17-29.
[11] R.Udayakumar, A comparison study on matrix inversion and linear system of equations, International Journal of Computer and Organization Trends, 6(1) 2014.
Keywords
Linear system of equations, convergence, iterative methods.