Procedures Using Orthogonal Transformations for Linear Least Squares Problems.

Abstract

Given a real matrix A not necessarily square and a vector b of compatible length, the linear least squares problem seeks the minimum euclidean distance between b and the range of A. Two newly devised algorithms for the numerical solution of the linear least squares problem are described which feature modified Householder transformations. Some numerical experiments are also described.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1974
Accession Number
ADA004417

Entities

People

  • Nai-kuan Tsao
  • Paul J. Nikolai

Tags

DTIC Thesaurus Topics

  • Algorithms

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Systems Analysis and Design