Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:2-1-4
Session:
Number:2-1-4-3
A Method of Generating Linear Systems with an Arbitrarily Ill-conditioned Matrix and an Arbitrary Solution
Shinya Miyajima, Takeshi Ogita, Shin’ichi Oishi,
pp.741-744
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
A method of generating linear systems is proposed for testing validity and efficiency of numerical verification methods. Using the proposed method, condition number and the exact solution of a linear system can arbitrarily be set by user. In this test, Rump’s method of generating matrices with arbitrary condition number can be utilized. Moreover the error-free vector transformation is applied for setting the exact solution. Finally numerical examples are presented to show the usefulness of the proposed method.