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Volumn 216, Issue , 2012, Pages 72-95

The functions erf and erfc computed with arbitrary precision and explicit error bounds

Author keywords

Arbitrary precision; Complementary error function; erf; erfc; Error function; Floating point arithmetic; Multiple precision

Indexed keywords

ARBITRARY PRECISION; ERF; ERFC; ERROR FUNCTION; FLOATING-POINT ARITHMETIC; MULTIPLE PRECISION;

EID: 84861627699     PISSN: 08905401     EISSN: 10902651     Source Type: Journal    
DOI: 10.1016/j.ic.2011.09.001     Document Type: Conference Paper
Times cited : (31)

References (15)
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    • Unrestricted algorithms for elementary and special functions
    • S. Lavington, North-Holland
    • R.P. Brent Unrestricted algorithms for elementary and special functions S. Lavington, Information Processing 80: Proceedings of IFIP Congress 80 1980 North-Holland 613 619
    • (1980) Information Processing 80: Proceedings of IFIP Congress 80 , pp. 613-619
    • Brent, R.P.1
  • 6
    • 0026215859 scopus 로고
    • Fast evaluation of elementary mathematical functions with correctly rounded last bit
    • A. Ziv Fast evaluation of elementary mathematical functions with correctly rounded last bit ACM Transactions on Mathematical Software (TOMS) 17 1991 410 423
    • (1991) ACM Transactions on Mathematical Software (TOMS) , vol.17 , pp. 410-423
    • Ziv, A.1
  • 7
    • 84966215888 scopus 로고
    • Efficient multiple-precision evaluation of elementary functions
    • D.M. Smith Efficient multiple-precision evaluation of elementary functions Mathematics of Computation 52 1989 131 134
    • (1989) Mathematics of Computation , vol.52 , pp. 131-134
    • Smith, D.M.1
  • 9
    • 0000143045 scopus 로고
    • Pitfalls in computation, or why a math book isn't enough
    • G.E. Forsythe Pitfalls in computation, or why a math book isn't enough American Mathematical Monthly 77 1970 931 956
    • (1970) American Mathematical Monthly , vol.77 , pp. 931-956
    • Forsythe, G.E.1
  • 10
    • 0002534227 scopus 로고
    • On the number of nonscalar multiplications necessary to evaluate polynomials
    • M.S. Paterson, and L.J. Stockmeyer On the number of nonscalar multiplications necessary to evaluate polynomials SIAM Journal on Computing 2 1973 60 66
    • (1973) SIAM Journal on Computing , vol.2 , pp. 60-66
    • Paterson, M.S.1    Stockmeyer, L.J.2
  • 13
    • 0002248894 scopus 로고
    • Computer algebra in the service of mathematical physics and number theory
    • D.V. Chudnovsky, R.D. Jenks, Lecture Notes in Pure and Applied Mathematics Dekker
    • D.V. Chudnovsky, and G.V. Chudnovsky Computer algebra in the service of mathematical physics and number theory D.V. Chudnovsky, R.D. Jenks, Computers in Mathematics Lecture Notes in Pure and Applied Mathematics vol. 125 1990 Dekker 109 232
    • (1990) Computers in Mathematics , vol.125 VOL. , pp. 109-232
    • Chudnovsky, D.V.1    Chudnovsky, G.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.