Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

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