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Calculating Functionals of Solutions of Large, Sparse Systems

Butler, Trisha R. (2006) Calculating Functionals of Solutions of Large, Sparse Systems. Master's Thesis, University of Pittsburgh. (Unpublished)

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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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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Butler, Trisha R.trrst11@pitt.eduTRRST11
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairLayton, Williamwjl@pitt.eduWJL
Committee MemberSwigon, Davidswigon@pitt.eduSWIGON
Committee MemberSussman, Mikesussmanm@math.pitt.eduMMS125
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:, etd-08092006-200441
Date Deposited: 10 Nov 2011 19:58
Last Modified: 15 Nov 2016 13:48


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