# 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