Abstract
In this paper, we present a componentwise error analysis of solving linear systems whose coefficient matrices are sign regular matrices with the same signature sequences as those of Jacobi sign regular matrices associated with corner cutting algorithms in computer aided geometric design. It is interesting to show that for such sign regular matrices, in finite precision floating point arithmetic, the computed factors by Gaussian elimination with the last two row exchanges satisfy a small componentwise relative backward error. Consequently, the computed solutions of linear systems associated with such matrices admit pleasantly small componentwise relative backward errors.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
