Note on the Zolotarev optimal rational approximation for the overlap Dirac operator

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 11, 2002, Pages

  Chiu, Ting Wai ^a   Hsieh, Tung Han ^a   Huang, Chao Hsi ^a   Huang, Tsung Ren ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; MATHEMATICS; PHYSICS; THEORY;

EID: 0012710629     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.114502     Document Type: Article

References (10)

1. H. Neuberger, Phys. Lett. B 417, 141 (1998).
2. R. Narayanan and H. Neuberger, Nucl. Phys. B443, 305 (1995).
3. P. H. Ginsparg and K. G. Wilson, Phys. Rev. D 25, 2649 (1982).
4. E. I. Zolotarev, Zap. Imp. Akad. Nauk. St. Petersburg, 30, 5 (1877);reprinted in Collected Works (Akademii Nauk SSSR, Moscow, 1932), Vol. 2, pp. 1–59.
5. N. I. Akhiezer, Theory of Approximation (Dover, New York, 1992).
6. N. I. Akhiezer, Elements of the Theory of Elliptic Functions, 2nd revised ed. (Nauka, Moscow, 1970) [Mathematical Monographs (American Mathematical Society, Providence, RI, 1990), Vol 79].
7. D. Ingerman, V. Druskin, and L. Knizhnerman, Commun. Pure Appl. Math. 53, 1039 (2000).
8. J. van den Eshof, A. Frommer, T. Lippert, K. Schilling, and H. A. van der Vorst, Comput. Phys. Commun. 146, 203 (2002).
9. T. W. Chiu and T. H. Hsieh, Phys. Rev. D 66, 014506 (2002).
10. T. W. Chiu and T. H. Hsieh, Phys. Lett. B 538, 298 (2002).