Linear systems with coefficient matrices having fields of values not containing the origin
Ren-Cang Li
EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-94-853
March 1994
http://www.eecs.berkeley.edu/Pubs/TechRpts/1994/CSD-94-853.pdf
The problem is the following: Given an n x n (complex) matrix A whose field of values F(A) does not contain the origin, is it necessary to pivot when solving the linear system Ax = b?
BibTeX citation:
@techreport{Li:CSD-94-853,
Author = {Li, Ren-Cang},
Title = {Linear systems with coefficient matrices having fields of values not containing the origin},
Institution = {EECS Department, University of California, Berkeley},
Year = {1994},
Month = {Mar},
URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1994/5593.html},
Number = {UCB/CSD-94-853}
}
EndNote citation:
%0 Report %A Li, Ren-Cang %T Linear systems with coefficient matrices having fields of values not containing the origin %I EECS Department, University of California, Berkeley %D 1994 %@ UCB/CSD-94-853 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/1994/5593.html %F Li:CSD-94-853