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 gram-schmidt 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