On a Method for Solving Linear Systems.

Abstract

Consider the problem of solving a linear system of equations of the form Ax=b where x, b epsilon (R sup n) and A is a (nxn) nonsingular matrix. In a previous paper Householder has classified the general methods for solving the above set of equations into the following groups: (a) Triangular factorization of A; (b) Orthogonal-triangular factorization of A; (c) Methods of Modification; (d) Iterative techniques. Householder also points out in his paper certain relationships between the method of orthogonalization and the iterative method of projection. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0723658

Entities

People

  • Rahul Chattopadhyay

Organizations

  • University of HawaiĘ»i System

Tags

DTIC Thesaurus Topics

  • Linear Systems

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.