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Volumn , Issue , 2009, Pages 169-176

Certified and fast computation of supremum norms of approximation errors

Author keywords

Approximation error; Automatic algorithmic differentiation; Certified computation; Elementary function; Interval arithmetic; Roots isolation technique; Supremum infinity norm

Indexed keywords

APPROXIMATION ERROR; AUTOMATIC/ALGORITHMIC DIFFERENTIATION; CERTIFIED COMPUTATION; ELEMENTARY FUNCTION; INTERVAL ARITHMETIC; ROOTS ISOLATION TECHNIQUE; SUPREMUM/INFINITY NORM;

EID: 70350749454     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ARITH.2009.18     Document Type: Conference Paper
Times cited : (8)

References (21)
  • 9
    • 70350762733 scopus 로고    scopus 로고
    • FLLIB, eine schnelle und portable Funktionsbibliothek für reelle Argumente und reelle Intervalle im IEEE-double-Format
    • W. Hofschuster and W. Krämer. FI LIB, eine schnelle und portable Funktionsbibliothek für reelle Argumente und reelle Intervalle im IEEE-double-Format. Technical Report 98/7, Universität Karlsruhe, 1998.
    • (1998) Technical Report 98/7, Universität Karlsruhe
    • Hofschuster, W.1    Krämer, W.2
  • 10
    • 85096105190 scopus 로고    scopus 로고
    • IEEE standard for floating-point arithmetic
    • IEEE Computer Society, Aug. 2008
    • IEEE Computer Society. IEEE Standard for Floating-Point Arithmetic. IEEE Std 754™-2008
    • IEEE Std 754TM-2008
  • 16
    • 2442566927 scopus 로고    scopus 로고
    • ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions
    • M. Neher. ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions. ACM Trans. on Math. Software, 2003.
    • (2003) ACM Trans. on Math. Software
    • Neher, M.1
  • 17
    • 4043063627 scopus 로고    scopus 로고
    • Newton's algorithm using multiple precision interval arithmetic
    • N. Revol. Newton's algorithm using multiple precision interval arithmetic. Numerical Algorithms, 34(2):417-426, 2003.
    • (2003) Numerical Algorithms , vol.34 , Issue.2 , pp. 417-426
    • Revol, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.