Accession Number : ADA138274

Title :   Generalized Inverses of Matrices and Its Applications.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON 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