Approximation Error and Error Accumulation for the Landen Transform

Reliable Computing

Volumn 3, Issue 3, 1997, Pages 249-258

  Luther, Wolfram ^a   Otten, Werner ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2342541766     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009918706545     Document Type: Article

References (7)

1. Gautschi, W.: Computational Methods in Special Functions. A Survey. Theory and Applications of Special Functions, Askey, R. (ed.), Academic Press, 1975.
2. Krämer, W.: Computation of Interval Bounds for Elliptic Integrals, in: Atanassova, L. and Herzberger, J. (eds), Computer Arithmetic and Enclosure Methods, North-Holland, 1992, pp. 289-298.
3. Krämer, W.: Eine portable Langzahl- und Langzahlintervallarithmetik mit Anwendungen, ZAMM 73 (7/8) (1993), T849-853.
4. Luther, W. and Otten, W.: Computation of Standard Interval Functions in Multiple-Precision Interval Arithmetic, Interval Computations 4 (1994), pp. 78-99.
5. Luther, W. and Otten, W.: Approximation Error and Error Accumulation for the Landen Transform, Schriftenreihe des Fachbereichs Mathematik der Gerhard-Mercator-Universität-GH Duisburg, Bericht Nr. 358.
6. Werner, K.: Calculation of the Inverse Weierstraß-Function, in: Alefeld, G., Frommer, A., and Lang, B. (eds), An Arbitrary Machine Arithmetic, Scientific Computing and Validated Numerics, Akad. Verlag, Berlin, 1996, pp. 72-78.
7. Werner, K.: Verifizierte Berechnung der inversen Weierstraß-Funktion und der elliptischen Funktionen von Jacobi in beliebigen Maschinenarithmetiken, PhD-Thesis, Duisburg, 1996.