AN ORTHOGONALIZATION METHOD OF COMPUTING THE GENERALIZED INVERSE OF A MATRIX,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1966
- Accession Number
- AD0633061
Entities
People
- C. R. Glassey