On recurrences converging to the wrong limit in finite precision and some new examples

DOI10.1553/etna_vol52s358zbMath1448.65041OpenAlexW3041910248MaRDI QIDQ2203376

Siegfried Michael Rump

Publication date: 6 October 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol52/abstract.php?vol=52&pages=358-369

zbMATH Keywords

rounding errorssingle precisionrecurrencesmultiple precisionSkolem problemdouble precisionextended precisionbfloatdifferent precisionshalf precisionPisot sequence

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Recurrences (11B37) Roundoff error (65G50)

Related Items (2)

Recursive solution of initial value problems with temporal discretization ⋮ Addendum to: ``On recurrences converging to the wrong limit in finite precision and some new examples

Uses Software

• MPFR
• advanpix
• TensorFlow

Cites Work

• The presence of a zero in an integer linear recurrent sequence is NP-hard to decide
• MPFR
• Handbook of Floating-Point Arithmetic
• Unnamed Item
• Unnamed Item

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