Institution: Stanford University, Department of Computer Science

Title: Computation of the pseudoinverse of a matrix of unknown rank

Author: Pereyra, Victor

Author: Rosen, Judah Ben

Date: September 1964

Abstract: A program is described which computes the pseudoinverse, and other related quantities, of an m $\times$ n matrix A of unknown rank. The program obtains least square solutions to singular and/or inconsistent linear systems Ax = B, where m $\leq$ n or m > n and the rank of A may be less than min(m,n). A complete description of the programs and its use is given, including computational experience on a variety of problems.

http://i.stanford.edu/pub/cstr/reports/cs/tr/64/13/CS-TR-64-13.pdf