Skip navigation
  • Home
  • Browse
    • Communities
      & Collections
    • Browse Items by:
    • Publication Date
    • Author
    • Title
    • Subject
    • Department
  • Sign on to:
    • My MacSphere
    • Receive email
      updates
    • Edit Profile


McMaster University Home Page
  1. MacSphere
  2. Open Access Dissertations and Theses Community
  3. Open Access Dissertations and Theses
Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/9285
Title: A GENERIC AUTOMATIC NUMERICAL STABILITY TESTING METHOD
Authors: Zhou, Hang
Advisor: Qiao, Sanzheng
Department: Computing and Software
Keywords: Computer Sciences;Software Engineering;Computer Sciences
Publication Date: Sep-2010
Abstract: <p>In this thesis we develop a new automatic method to test algorithm's numerical stability. The new method is a combination of two stability testing methods introduced by Higham and Kahan, and takes advantage of the both method. We first generate an objective function which can reveal algorithm's stability, then locate the maximum value of the objective function by an optimization method. This method can automatically detect the unstable points and reveal algorithms instability.</p> <p>To make our method suitable for general problems, we generate the objective function by measuring the difference of the test program's results computed in different rounding modes. We choose a search method suitable for our objective function. To improve the accuracy of our method, the final result is obtained by combining the results from multiple searches. Furthermore, we propose three measurements to measure algorithm's stability. Practical examples are used to test the performance of our method.</p>
URI: http://hdl.handle.net/11375/9285
Identifier: opendissertations/4421
5442
2042951
Appears in Collections:Open Access Dissertations and Theses

Files in This Item:
File SizeFormat 
fulltext.pdf
Open Access
1.59 MBAdobe PDFView/Open
Show full item record Statistics


Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.

Sherman Centre for Digital Scholarship     McMaster University Libraries
©2022 McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4L8 | 905-525-9140 | Contact Us | Terms of Use & Privacy Policy | Feedback

Report Accessibility Issue