Document Type

Article

Publication Date

2016

DOI

10.4236/jamp.2016.41003

Publication Title

Journal of Applied Mathematics and Physics

Volume

4

Issue

1

Pages

16-20

Abstract

Solving large scale system of Simultaneous Linear Equations (SLE) has been (and continue to be) a major challenging problem for many real-world engineering and science applications. Solving SLE with singular coefficient matrices arises from various engineering and sciences applications [1]-[6]. In this paper, efficient numerical procedures for finding the generalized (or pseudo) inverse of a general (square/rectangle, symmetrical/unsymmetrical, non-singular/singular) matrix and solving systems of Simultaneous Linear Equations (SLE) are formulated and explained. The developed procedures and its associated computer software (under MATLAB [7] computer environment) have been based on "special Cholesky factorization schemes" (for a singular matrix). Test matrices from different fields of applications have been chosen, tested and compared with other existing algorithms. The results of the numerical tests have indicated that the developed procedures are far more efficient than the existing algorithms.

Comments

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.

https://creativecommons.org/licenses/by/4.0/

Original Publication Citation

Bose, S. K., & Nguyen, D. (2016). Efficient generalized inverse for solving simultaneous linear equations. Journal of Applied Mathematics and Physics, 4(1), 16-20. doi:10.4236/jamp.2016.41003

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