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type	http://eprints.org/ontology/ArticleEPrint http://eprints.org/ontology/EPrint Article Academic Article
seeAlso	HTML Summary of #66997 An analytical approach: Explicit inverses of periodic tridiagonal matrices
sameAs	An analytical approach: Explicit inverses of periodic tridiagonal matrices
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http://eprints.org/ontology/hasDocument	An analytical approach: Explicit inverses of periodic tridiagonal matrices (PDF) An analytical approach: Explicit inverses of periodic tridiagonal matrices (Other) An analytical approach: Explicit inverses of periodic tridiagonal matrices (Other) An analytical approach: Explicit inverses of periodic tridiagonal matrices (Other) An analytical approach: Explicit inverses of periodic tridiagonal matrices (Other) An analytical approach: Explicit inverses of periodic tridiagonal matrices (Other)
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Title	An analytical approach: Explicit inverses of periodic tridiagonal matrices
described by	https://demo.openlinksw.com/about/id/entity/https/www.cs.kent.ac.uk/people/staff/akj22/materials/CO644/export_kar_RDFN3.n3 https://demo.openlinksw.com/about/id/entity/https/raw.githubusercontent.com/annajordanous/CO644Files/main/export_kar_RDFN3.n3
Date	2018-06-01
Creator	Emrah Kılıç Tim Hopkins
status	peer reviewed published
Publisher	Elsevier
abstract	We derive an explicit formula for the inverse of a general, periodic, tridiagonal matrix. Our approach is to derive its factorization using backward continued fractions (BCF) which are an essential tool in number theory. We then use these formulae to construct an algorithm for inverting a general, periodic, tridiagonal matrix which we implement in Maple.1 Finally, we present the results of testing the efficiency of our new algorithm against another published implementation and against the library procedures available within Maple to invert a general matrix and to compute its determinant.
Is Part Of	Journal of Computational and Applied Mathematics https://kar.kent.ac.uk/id/repository
Subject	QA Mathematics (inc Computing science)
list of authors	https://kar.kent.ac.uk/id/eprint/66997#authors
volume	335
is topic of	https://www.cs.kent.ac.uk/people/staff/akj22/materials/CO644/export_kar_RDFN3.n3 https://raw.githubusercontent.com/annajordanous/CO644Files/main/export_kar_RDFN3.n3
is primary topic of	HTML Summary of #66997 An analytical approach: Explicit inverses of periodic tridiagonal matrices

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