environment monitoring system

Article type: Research Article

Authors: Madni, Azad M.

Affiliations: Professor, Viterbi School of Engineering and Keck School of Medicine, University of Southern California, Los Angeles, CA, USA

Abstract: The generalized inverse is a subject of practical significance for estimating the solution of a system of linear equations under a wide variety of conditions. While the literature has ample references on the underlying mathematical theory and properties of the generalized inverse, it lacks a qualitative discussion of the generalized inverse that would facilitate the understanding of its properties under varying constraints. This paper discusses and develops the generalized inverse using heuristic arguments that offer key insights into its practical uses.

Keywords: generalized inverse, system of linear equations, under-determined systems, even-determined systems, over-determined systems, Moore-Penrose pseudo-inverse

Journal: Journal of Integrated Design & Process Science, vol. 15, no. 2, pp. 71-78, 2011