
Accession Number : ADA138274
Title : Generalized Inverses of Matrices and Its Applications.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON AFB OH SCHOOL OF ENGINEERING
Personal Author(s) : Doma,A M E
PDF Url : ADA138274
Report Date : Dec 1983
Pagination or Media Count : 124
Abstract : Theory and computation techniques of the various type of generalized inverses of matrices which have polynomial elements x, y, z ..., etc., are presented. A simple algorithm for computation of generalized inverses of a constant matrix is established, and then applied to the case of matrices having polynomial elements in several variables. Reduction of a matrix to its smith form over the ring of polynomial elements in several variables is presented. A simple algorithm for investigation of the system Ax = b in case of constant and nonconstand rank of A is presented. Application of generalized inverses to solve more general matrix equations such as Lyapunov and Riccati equations is studied. (Author)
Descriptors : *Matrices(Mathematics), *Equations, *Numerical methods and procedures, *Inversion, Polynomials, Computations, Algorithms, Variables, Riccati equation, Rings(Mathematics), Lyapunov functions, Least squares method, Theses
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE