About: An analytical approach: Explicit inverses of periodic tridiagonal matrices

Not logged in : Login

(Sponging disallowed)

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: An analytical approach: Explicit inverses of periodic tridiagonal matrices Goto Sponge Distinct Permalink

An Entity of Type : bibo:AcademicArticle, within Data Space : demo.openlinksw.com associated with source document(s)

Attributes	Values
type	http://eprints.org/ontology/ArticleEPrint http://eprints.org/ontology/ArticleEPrint http://eprints.org/ontology/EPrint http://eprints.org/ontology/EPrint Article Article Academic Article Academic Article
seeAlso	HTML Summary of #66997 An analytical approach: Explicit inverses of periodic tridiagonal matrices HTML Summary of #66997 An analytical approach: Explicit inverses of periodic tridiagonal matrices
sameAs	An analytical approach: Explicit inverses of periodic tridiagonal matrices An analytical approach: Explicit inverses of periodic tridiagonal matrices
http://eprints.org/ontology/hasAccepted	An analytical approach: Explicit inverses of periodic tridiagonal matrices (PDF) An analytical approach: Explicit inverses of periodic tridiagonal matrices (PDF)
http://eprints.org/ontology/hasDocument	An analytical approach: Explicit inverses of periodic tridiagonal matrices (PDF) 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) 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)
dc:hasVersion	An analytical approach: Explicit inverses of periodic tridiagonal matrices (PDF) An analytical approach: Explicit inverses of periodic tridiagonal matrices (PDF)
Title	An analytical approach: Explicit inverses of periodic tridiagonal matrices 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 2018-06-01
Creator	Emrah Kılıç Emrah Kılıç Tim Hopkins Tim Hopkins
status	peer reviewed peer reviewed published published
Publisher	Elsevier 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. 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 Journal of Computational and Applied Mathematics https://kar.kent.ac.uk/id/repository https://kar.kent.ac.uk/id/repository
Subject	QA Mathematics (inc Computing science) QA Mathematics (inc Computing science)
list of authors	https://kar.kent.ac.uk/id/eprint/66997#authors https://kar.kent.ac.uk/id/eprint/66997#authors
volume	335 335
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 HTML Summary of #66997 An analytical approach: Explicit inverses of periodic tridiagonal matrices

Faceted Search & Find service v1.17_git144 as of Jul 26 2024

Alternative Linked Data Documents: iSPARQL | ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3331 as of Aug 25 2024, on Linux (x86_64-ubuntu_noble-linux-glibc2.38-64), Single-Server Edition (378 GB total memory, 28 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software