# 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}, 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://www.eecs.berkeley.edu/Pubs/TechRpts/1994/5593.html %F Li:CSD-94-853