Accession Number : AD0666195

Title :   PIVOT SIZE IN GAUSSIAN ELIMINATION WITH COMPLETE PIVOTING.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Cryer,C. W.

Report Date : OCT 1967

Pagination or Media Count : 43

Abstract : Let A = (a sub ij) be a real n x n matrix such that the absolute value of (a sub ij) = or < 1. It has been conjectured by Wilkinson that if the process of Gaussian elimination with complete pivoting is applied to A then all the pivots are less than or equal to n in absolute value. This conjecture is proved for n = 3 and n = 4. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), *NUMERICAL ANALYSIS), INEQUALITIES, DETERMINANTS(MATHEMATICS), SEQUENCES(MATHEMATICS), COMBINATORIAL ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE