메뉴 건너뛰기




Volumn , Issue , 2007, Pages 53-59

Multithreaded parallel implementation of arithmetic operations modulo a triangular set

Author keywords

Algorithms; High performance; Normal form; Parallelization; Polynomials

Indexed keywords

FAST FOURIER TRANSFORMS; MULTITASKING; PARALLEL ALGORITHMS; POLYNOMIALS; RECURSIVE FUNCTIONS;

EID: 36849065744     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1278177.1278187     Document Type: Article
Times cited : (7)

References (23)
  • 1
    • 33744939441 scopus 로고    scopus 로고
    • Communication efficient adaptive matrix transpose algorithm for FFT on symmetric multiprocessors. In Pixie
    • IEEE Computer Society
    • R. Al Na'Mneh, W.D. Pan, and R. Adhami Communication efficient adaptive matrix transpose algorithm for FFT on symmetric multiprocessors. In Pixie. SSST'05 the Thirty-Seventh Southeastern Symposium on System Theor, pages 312-315. IEEE Computer Society, 2005.
    • (2005) SSST'05 the Thirty-Seventh Southeastern Symposium on System Theor , pp. 312-315
    • Al Na'Mneh, R.1    Pan, W.D.2    Adhami, R.3
  • 2
    • 27944481377 scopus 로고    scopus 로고
    • k) using trinomial residue arithmetic. In Proc. ARITH'05, the 17th IEEE Symposium on Computer Arithmetic, pages 164-171. IEEE Computer Society, 2005.
    • k) using trinomial residue arithmetic. In Proc. ARITH'05, the 17th IEEE Symposium on Computer Arithmetic, pages 164-171. IEEE Computer Society, 2005.
  • 5
    • 33748961047 scopus 로고    scopus 로고
    • Lifting techniques for triangular decompositions
    • ACM Press
    • X. Dahan, M. Moreno Maza, É. Schost, W. Wu, and Y. Xie. Lifting techniques for triangular decompositions. In Proc. ISSAC'05, pages 108-115. ACM Press, 2005.
    • (2005) Proc. ISSAC'05 , pp. 108-115
    • Dahan, X.1    Moreno Maza, M.2    Schost, E.3    Wu, W.4    Xie, Y.5
  • 6
    • 33748973914 scopus 로고    scopus 로고
    • Implementation techniques for fast polynomial arithmetic in a high-level programming environment
    • ACM Press
    • A. Filatei, X. Li, M. Moreno Maza, and É Schost. Implementation techniques for fast polynomial arithmetic in a high-level programming environment. In Proc. ISSAC06, pages 93-100, ACM Press, 2006.
    • (2006) Proc. ISSAC06 , pp. 93-100
    • Filatei, A.1    Li, X.2    Moreno Maza, M.3    Schost, E.4
  • 7
    • 0036331163 scopus 로고    scopus 로고
    • On computer-assisted classification of coupled integrable equations
    • M.V. Foursov and M. Moreno Maza,. On computer-assisted classification of coupled integrable equations. J. Symb. Comp., 33:647-660, 2002.
    • (2002) J. Symb. Comp , vol.33 , pp. 647-660
    • Foursov, M.V.1    Moreno Maza, M.2
  • 8
    • 36849095547 scopus 로고    scopus 로고
    • J. von zur Gathen and J. Gerhard. Modern Computer Algebra. Cambridge University Press, 1999.
    • J. von zur Gathen and J. Gerhard. Modern Computer Algebra. Cambridge University Press, 1999.
  • 9
    • 0042981059 scopus 로고    scopus 로고
    • k) using polynomial residue arithmetic. Designs, Codes and Cryptography, 20(2):155-173, 2000.
    • k) using polynomial residue arithmetic. Designs, Codes and Cryptography, 20(2):155-173, 2000.
  • 10
    • 27644450555 scopus 로고    scopus 로고
    • The truncated Fourier transform and applications
    • J. Gutierrez, editor, ACM Press
    • J. van der Hoeven. The truncated Fourier transform and applications. In J. Gutierrez, editor, Proc. ISSAC 2004, pages 290-296, ACM Press, 2004.
    • (2004) Proc. ISSAC 2004 , pp. 290-296
    • van der Hoeven, J.1
  • 11
    • 84957629424 scopus 로고
    • Parallel computation of modular multivariate polynomial resultants on a shared memory machine
    • B. Buchberger and J. Volkert, editors, Proc. of CONPAR 94, Springer Verlag
    • H. Hong and H. W. Loidl. Parallel computation of modular multivariate polynomial resultants on a shared memory machine. In B. Buchberger and J. Volkert, editors, Proc. of CONPAR 94, Springer LNCS 854., Pages 325-336. Springer Verlag, 1994.
    • (1994) Springer LNCS , vol.854 , pp. 325-336
    • Hong, H.1    Loidl, H.W.2
  • 12
    • 33748970197 scopus 로고    scopus 로고
    • Architecture-aware classical Taylor shift by 1
    • ACM Press
    • J. R. Johnson, W. Krandick, and A. D. Ruslanov. Architecture-aware classical Taylor shift by 1. In ISSAC'05, pages 200-207. ACM Press, 2005.
    • (2005) ISSAC'05 , pp. 200-207
    • Johnson, J.R.1    Krandick, W.2    Ruslanov, A.D.3
  • 13
    • 67650467061 scopus 로고    scopus 로고
    • Hyun-Sung Kim, Hee-Joo Park, and Sung-Ho Hwang. Parallel Modular Multiplication Algorithm in Residue Number System. Chapter in Parallel Processing and Applied Mathematics, 3019/2004 of Lecture Notes in Computer Science, Springer, 2004.
    • Hyun-Sung Kim, Hee-Joo Park, and Sung-Ho Hwang. Parallel Modular Multiplication Algorithm in Residue Number System. Chapter in Parallel Processing and Applied Mathematics, volume 3019/2004 of Lecture Notes in Computer Science, Springer, 2004.
  • 14
    • 85027462693 scopus 로고
    • On the multi-threaded computation of integral polynomial greatest common divisors
    • ACM Press
    • W. Kiichlin. On the multi-threaded computation of integral polynomial greatest common divisors. In Proc. of ISSAC '91, pages 333-342. ACM Press, 1991.
    • (1991) Proc. of ISSAC '91 , pp. 333-342
    • Kiichlin, W.1
  • 15
    • 0001586731 scopus 로고
    • On computing reciprocals of power series
    • H. T. Kung. On computing reciprocals of power series. Numerische Mathematik, 22:341-348, 1974.
    • (1974) Numerische Mathematik , vol.22 , pp. 341-348
    • Kung, H.T.1
  • 16
    • 33750047190 scopus 로고    scopus 로고
    • X. Li and M. Moreno Maza. Efficient implementation of polynomial arithmetic in a multiple-level programming environment. In A. Iglesias and N. Takayama, editors, Proc. International Congress of Mathematical Software - ICMS 2006, pages 12-23. Springer, 2006.
    • X. Li and M. Moreno Maza. Efficient implementation of polynomial arithmetic in a multiple-level programming environment. In A. Iglesias and N. Takayama, editors, Proc. International Congress of Mathematical Software - ICMS 2006, pages 12-23. Springer, 2006.
  • 17
    • 36349014855 scopus 로고    scopus 로고
    • Fast arithmetic for triangular sets: From theory to practice
    • ACM Press
    • X. Li, M. Moreno Maza, and É Schost. Fast arithmetic for triangular sets: From theory to practice. In Proc. ISSAC07, ACM Press, 2007.
    • (2007) Proc. ISSAC07
    • Li, X.1    Moreno Maza, M.2    Schost, E.3
  • 18
    • 38049146542 scopus 로고    scopus 로고
    • On the virtues of generic programming for symbolic computation
    • Proc. CASA '07, Springer-Verlag Berlin Heidelberg
    • X. Li, M. Moreno Maza, and É. Schost. On the virtues of generic programming for symbolic computation. In Proc. CASA '07, Lecture Notes in Computer Science vol. 4488, pages. 251258, Springer-Verlag Berlin Heidelberg 2007.
    • (2007) Lecture Notes in Computer Science , vol.4488 , pp. 251258
    • Li, X.1    Moreno Maza, M.2    Schost, E.3
  • 19
    • 36849087374 scopus 로고    scopus 로고
    • Multiprocessed parallelism support in Aldor on SMPs and multicores
    • ACM Press
    • M. Moreno Maza, B. Stephenson, S. M. Watt, and Y. Xie. Multiprocessed parallelism support in Aldor on SMPs and multicores. In Proc. PASCO'07, ACM Press, 2007.
    • (2007) Proc. PASCO'07
    • Moreno Maza, M.1    Stephenson, B.2    Watt, S.M.3    Xie, Y.4
  • 20
    • 36849046739 scopus 로고    scopus 로고
    • Component-level parallelization of triangular decompositions
    • ACM Press
    • M. Moreno Maza and Y. Xie. Component-level parallelization of triangular decompositions. In Proc. PASCO'07, ACM Press, 2007.
    • (2007) Proc. PASCO'07
    • Moreno Maza, M.1    Xie, Y.2
  • 21
    • 35448974093 scopus 로고    scopus 로고
    • K. Morita, A. Morihata, K. Matsuzaki, Z. Hu and M. Takeichi. Automatic Inversion Generates Divide-and-Conquer Parallel Programs In Proc. PLDI'07, ACM Press, 2007.
    • K. Morita, A. Morihata, K. Matsuzaki, Z. Hu and M. Takeichi. Automatic Inversion Generates Divide-and-Conquer Parallel Programs In Proc. PLDI'07, ACM Press, 2007.
  • 22
    • 0001661364 scopus 로고
    • An algorithm for division of power series
    • M. Sieveking. An algorithm for division of power series. Computing, 10:153-156, 1972.
    • (1972) Computing , vol.10 , pp. 153-156
    • Sieveking, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.