Accession Number:
AD0633061
Title:
AN ORTHOGONALIZATION METHOD OF COMPUTING THE GENERALIZED INVERSE OF A MATRIX,
Descriptive Note:
Corporate Author:
OPERATIONS RESEARCH CENTER UNIV OF CALIF BERKELEY
Personal Author(s):
Report Date:
1966-04-01
Pagination or Media Count:
18.0
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:
Subject Categories:
- Theoretical Mathematics