Journal of Applied Mathematics and Physics
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 -. 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  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.
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
Bose, S. Kadiam and Nguyen, D. T., "Efficient Generalized Inverse for Solving Simultaneous Linear Equations" (2016). Civil & Environmental Engineering Faculty Publications. 23.