PIVOT SIZE IN GAUSSIAN ELIMINATION WITH COMPLETE PIVOTING.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1967
- Accession Number
- AD0666195
Entities
People
- C. W. Cryer
Organizations
- University of Wisconsin–Madison