Generalized Inverses of Matrices and Its Applications.

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)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA138274

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  • A. M. E. Doma

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  • Air Force Institute of Technology

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