Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Engineering
Efficient Generalized Inverse For Solving Simultaneous Linear Equations, S. Kadiam Bose, D. T. Nguyen
Efficient Generalized Inverse For Solving Simultaneous Linear Equations, S. Kadiam Bose, D. T. Nguyen
Civil & Environmental Engineering Faculty Publications
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 …