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):

• Glassey,C. R.

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:

• (*MATRICES(MATHEMATICS)
• THEORY)
• TRANSFORMATIONS(MATHEMATICS)
• FUNCTIONAL ANALYSIS
• OPERATORS(MATHEMATICS)

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE