Accession Number:

AD0266268

Title:

COMPUTING ERROR BOUNDS IN SOLVING LINEAR SYSTEMS

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1961-07-01

Pagination or Media Count:

1.0

Abstract:

I IFI R C C I RA ION.A method is presented for computing a vector vO, he calculation of which has the vectors BnvO. This forms an iterative procedure parallel to an approximation procedure. This estimation procedure can be programmed for computers as easily a the approximation procedure. The method theoretically is always successful for some p if the matrix B is irreducible and noncyclic and if the maximal root lambda of B is smaller than 1. Practically, lambda will have to satisfy o e at tronger conditions because one can only calculate with a certain number of digits and one can only perform a certain number of iteration steps. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE