This thesis presents and evaluates a generic algorithm for incrementally computing the dominant singular subspaces of a matrix. The relationship between the generality of the results and the necessary computation is explored. The performance of this method, both numerical and computational, is discussed in terms of the algorithmic parameters, such as block size and acceptance threshhold. Bounds on the error are presented along with a posteriori approximations of these bounds. Finally, a group of methods are proposed which iteratively improve the accuracy of computed results and the quality of the bounds. / A Thesis submitted to the Department of Computer Science in partial fulfillment of
the requirements for the degree of Master of Science. / Degree Awarded: Summer Semester, 2004. / Date of Defense: April 19, 2004. / Updating, Numerical Linear Algebra, Singular Value Decomposition, URV Factorization, Subspace Tracking / Includes bibliographical references. / Kyle Gallivan, Professor Directing Thesis; Anuj Srivastava, Committee Member; Robert van Engelen, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_169180 |
| Contributors | Baker, Christopher Grover (authoraut), Gallivan, Kyle (professor directing thesis), Srivastava, Anuj (committee member), Engelen, Robert van (committee member), Department of Computer Science (degree granting department), Florida State University (degree granting institution) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource, computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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