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
, 1994
http://www2.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}, Year= {1994}, Month= {Mar}, Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/1994/5593.html}, Number= {UCB/CSD-94-853}, Abstract= {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?}, }
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://www2.eecs.berkeley.edu/Pubs/TechRpts/1994/5593.html %F Li:CSD-94-853