On the cyclic reduction of tridiagonal systems

Shaffer, Ward J.

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dc.contributor.author	Shaffer, Ward J.
dc.contributor.other	Youngstown State University. Department of Mathematics.
dc.date.accessioned	2021-05-25T15:34:08Z
dc.date.available	2021-05-25T15:34:08Z
dc.date.issued	2005
dc.identifier.other	B19736526
dc.identifier.other	61849067
dc.identifier.uri	https://jupiter.ysu.edu:443/record=b1973652
dc.identifier.uri	http://hdl.handle.net/1989/16304
dc.description	iv, 120 leaves : ill. ; 29 cm. Thesis (M.S.)--Youngstown State University, 2005. Includes bibliographical references (leaf 120).	en_US
dc.description.abstract	Tridiagonal systems arise frequently in applied mathematics. This thesis will investigate the use of complete and truncated cyclic reduction algorithms to solve these systems. We will develop the complete cyclic reduction algorithm for tridiagonal and block tridiagonal systems. We will show the development of the Bondeli-Gander truncated algorithm for tridiagonal systems and will extend it to the case where the off-diagonal elements are not 1. Finally, we will use the work of Heller to create a truncated algorithm for block tridiagonal systems and will discuss the work necessary to extend the Bondeli-Gander algorithm to block tridiagonal systems.	en_US
dc.description.sponsorship	Youngstown State University. Department of Mathematics.	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartofseries	Master's Theses;no. 0867
dc.subject	Mathematics.	en_US
dc.subject	Algorithms.	en_US
dc.title	On the cyclic reduction of tridiagonal systems	en_US
dc.type	Thesis	en_US

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