Reliable Computation of Elliptic Functions

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dc.creatorLuther,Wolfram
dc.creatorOtten,Werner
dc.date1998
dc.date.accessioned2024-02-06T12:49:21Z
dc.date.available2024-02-06T12:49:21Z
dc.descriptionIn this note we present rapidly convergent algorithms depending on the method of arithmetic-geometric means (AGM) for the computation of Jacobian elliptic functions and Jacobi's Theta-function. In particular, we derive explicit a priori bounds for the error accumulation of the corresponding Landen transform.
dc.formattext/html
dc.identifierhttps://doi.org/10.3217/jucs-004-01-0025
dc.identifierhttps://lib.jucs.org/article/27456/
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/7316
dc.languageen
dc.publisherJournal of Universal Computer Science
dc.relationinfo:eu-repo/semantics/altIdentifier/eissn/0948-6968
dc.relationinfo:eu-repo/semantics/altIdentifier/pissn/0948-695X
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsJ.UCS License
dc.sourceJUCS - Journal of Universal Computer Science 4(1): 25-33
dc.subjectElliptic functions
dc.subjectLanden transform
dc.subjectAGM-method
dc.subjecta priori rounding error estimation
dc.titleReliable Computation of Elliptic Functions
dc.typeResearch Article
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