Accession Number : AD0427753

Title :   THE SOLUTION OF LARGE SYSTEMS OF ALGEBRAIC EQUATIONS,

Corporate Author : STANFORD UNIV CALIF SCHOOL OF HUMANITIES AND SCIENCES

Personal Author(s) : Pavkovich,John M.

Report Date : 06 DEC 1963

Pagination or Media Count : 38

Abstract : A method for solving a system of linear algebraic equations is described. This method was implemented on the IBM 7090 at Stanford for equations with complex coefficients. Although all figures quoted related to tape movement and arithmetic speed are for this computer, the ideas behind the method are applicable to any computer which has the ability to read tape, write tape, and compute simultaneously. The method used to solve the system of equations is basically Gauss's method with partial pivoting. When applied to a system of equations too large to fit in core storage. The rea sson is that Gauss's method is applied in a more subtle fashion in which successive columns of the reduced system are obtained rather than successive rows. (Author)

Descriptors :   (*ALGEBRA, EQUATIONS), (*EQUATIONS, PROGRAMMING (COMPUTERS), CONTROL SEQUENCES

Distribution Statement : APPROVED FOR PUBLIC RELEASE