# 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