Institution: Stanford University, Department of Computer Science

Title: "Estimates of the Roundoff Error in the Solution of a System of Conditional Equations" by V. I. Gordonova

Author: Gordonova, V. I.

Author: Kaufman, Linda C.

Date: June 1970

Abstract: Using backward error analysis, this paper compares the roundoff error in the least-squares solution of a system of conditional equations Ax=f by two different methods. The first one entails solving the normal equations $A^T$Ax=$A^T$f and the second is one proposed by Faddeev, Faddeeva, and Kublanovskaya in 1966. This latter method involves multiplying the system by orthogonal matrices to transform the matrix A into upper triangular form. Translated by Linda Kaufman.

http://i.stanford.edu/pub/cstr/reports/cs/tr/70/164/CS-TR-70-164.pdf