
Accession Number : AD0633061
Title : AN ORTHOGONALIZATION METHOD OF COMPUTING THE GENERALIZED INVERSE OF A MATRIX,
Corporate Author : OPERATIONS RESEARCH CENTER UNIV OF CALIF BERKELEY
Personal Author(s) : Glassey,C. R.
Report Date : APR 1966
Pagination or Media Count : 18
Abstract : A method of computing the generalized inverse of a matrix is derived from the behavior of a linear transformation and its generalized inverse relative to the range and null space of the operator. The method utilizes the gramschmidt procedure to obtain an orthogonal basis for the column space of the matrix, and then the biorthogonalization technique of Hestenes to obtain the inverse of a matrix that has the same rank as the original. A matrix multiplication then yields the required generalized inverse. (Author)
Descriptors : (*MATRICES(MATHEMATICS), THEORY), TRANSFORMATIONS(MATHEMATICS), FUNCTIONAL ANALYSIS, OPERATORS(MATHEMATICS)
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE