Butler, Trisha R.
(2006)
Calculating Functionals of Solutions of Large, Sparse Systems.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
Problems in many applications lead to large, sparse linear systems with coefficient matrices that are invertible and have little other structure. In such problems, the solution u=Af is typically calculated only to compute further functionals of that solution. This paper performs preliminary research into the practical question: determine methods that converge to the functional value l_{n}â†'l(u) much more rapidly than u_{n}â†'u.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
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| Date: |
28 September 2006 |
| Date Type: |
Completion |
| Defense Date: |
13 July 2006 |
| Approval Date: |
28 September 2006 |
| Submission Date: |
9 August 2006 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
MS - Master of Science |
| Thesis Type: |
Master's Thesis |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
convection diffusion problem; jacobi method; large sparse system; linear functional |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-08092006-200441/, etd-08092006-200441 |
| Date Deposited: |
10 Nov 2011 19:58 |
| Last Modified: |
15 Nov 2016 13:48 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/9014 |
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