# Accession Number:

## AD0687718

# Title:

## HANDBOOK SERIES LINEAR ALGEBRA SINGULAR VALUE DECOMPOSITION AND LEAST SQUARES SOLUTIONS.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE

# Personal Author(s):

# Report Date:

## 1969-05-01

# Pagination or Media Count:

## 42.0

# Abstract:

Two Algol procedures are given which are useful in linear least squares problems. The first procedure computes the singular value decomposition by first reducing the rectangular matrix A to a bidiagonal matrix, and then computing the singular values of the bidiagonal matrix by a variant of the QR algorithm. The second procedure yields the components for the linear least squares solution when it is desirable to determine a vector X tilde for which norm Ax-b sub 2 min. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability