On Direct Solutions of Linear Algebraic Systems.

Abstract

A brief survey of the direct methods used in solving linear algebraic systems are presented in Chapter 2 together with a new algorithm in finding the solution or the inverse of the system. The relationship between the relative error of the solution and the system condition or machine precision is explored in Chapter 3. It is found that the relative error upper bound is linear proportional to 2 to the (-t) power where t is the number of bits used for the fractional part of a machine number in floating-point computations. Finally some remedies for solving ill-conditioned systems are described in Chapter 3. The related computer programs are listed in the Appendices. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0716822

Entities

People

  • Nai-kuan Tsao

Organizations

  • University of HawaiĘ»i System

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Computer Programs
  • Computers
  • Mathematical Analysis
  • Mathematics
  • Precision

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Linear Algebra
  • Systems Analysis and Design