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Volumn 4, Issue 1, 2002, Pages 1-18

Improved Roundoff Error Analysis for Precomputed Twiddle Factors

Author keywords

Average case study; Precomputed twiddle factors; Repeated multiplication; Roundoff error analysis; Worst case study

Indexed keywords


EID: 0346836010     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012991330474     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 21344472321 scopus 로고    scopus 로고
    • Componentwise error analysis for FFTs with applications to fast Helmholtz solvers
    • M. Arioli, H. Munthe-Kaas, and L. Valdettaro, Componentwise error analysis for FFTs with applications to fast Helmholtz solvers, Numer. Algorithms 12, 65-88 (1996).
    • (1996) Numer. Algorithms , vol.12 , pp. 65-88
    • Arioli, M.1    Munthe-Kaas, H.2    Valdettaro, L.3
  • 2
    • 0023670614 scopus 로고
    • Stable on-line creation of sines and cosines of successive angles
    • O. Bunemann, Stable on-line creation of sines and cosines of successive angles, Proc. IEEE 75, 1434-1435 (1987).
    • (1987) Proc. IEEE , vol.75 , pp. 1434-1435
    • Bunemann, O.1
  • 3
    • 84966258414 scopus 로고
    • A stochastic roundoff error analysis for the fast Fourier transform
    • D. Calvetti, A stochastic roundoff error analysis for the fast Fourier transform, Math. Comp. 56, 755-774 (1991).
    • (1991) Math. Comp. , vol.56 , pp. 755-774
    • Calvetti, D.1
  • 4
    • 0042604705 scopus 로고
    • The Fast Fourier Transform on Hypercube Parallel Computers
    • PhD Thesis, Cornell University
    • C. Y. Chu, The Fast Fourier Transform on Hypercube Parallel Computers, PhD Thesis, Technical Report 87-882, Cornell University (1987).
    • (1987) Technical Report 87-882
    • Chu, C.Y.1
  • 8
    • 0346204337 scopus 로고
    • Stable methods for evaluating the points cos(iπ/n)
    • J. Oliver, Stable methods for evaluating the points cos(iπ/n), J. Inst. Math. Appl. 16, 247-257 (1975).
    • (1975) J. Inst. Math. Appl. , vol.16 , pp. 247-257
    • Oliver, J.1
  • 11
    • 0012032840 scopus 로고    scopus 로고
    • Worst and average case roundoff error analysis for FFT
    • M. Tasche and H. Zeuner, Worst and average case roundoff error analysis for FFT, BIT 41, 563-581 (2001),
    • (2001) BIT , vol.41 , pp. 563-581
    • Tasche, M.1    Zeuner, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.