PIVOT SIZE IN GAUSSIAN ELIMINATION WITH COMPLETE PIVOTING.

reportActive / Technical Report | Accession Number: AD0666195 | Need Help?

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

Author(s):
Cryer, C. W.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0043

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-729
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*MATRICES(MATHEMATICS), *NUMERICAL ANALYSIS), INEQUALITIES, DETERMINANTS(MATHEMATICS), SEQUENCES(MATHEMATICS), COMBINATORIAL ANALYSIS
Field(s)/Group(s):
Theoretical Mathematics
Report Date:
1967 Oct 01