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Volumn 7285 LNCS, Issue , 2012, Pages 182-191

Multivariate polynomial integration and differentiation are polynomial time inapproximable unless P=NP

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION MODEL; CONSTANT COEFFICIENTS; FUNCTORS; HIGH-DIMENSIONAL; HYPERCUBE; MULTIVARIATE POLYNOMIAL; POLYNOMIAL TIME APPROXIMATION; POLYNOMIAL-TIME; PRODUCT OF SUMS; REAL NUMBER; SINGLE VARIABLE;

EID: 84861210419     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-29700-7_17     Document Type: Conference Paper
Times cited : (6)

References (12)
  • 1
    • 78650833816 scopus 로고    scopus 로고
    • Approximating Multilinear Monomial Coefficients and Maximum Multilinear Monomials in Multivariate Polynomials
    • Wu, W., Daescu, O. (eds.) COCOA 2010, Part I. Springer, Heidelberg
    • Chen, Z., Fu, B.: Approximating Multilinear Monomial Coefficients and Maximum Multilinear Monomials in Multivariate Polynomials. In: Wu, W., Daescu, O. (eds.) COCOA 2010, Part I. LNCS, vol. 6508, pp. 309-323. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6508 , pp. 309-323
    • Chen, Z.1    Fu, B.2
  • 2
    • 80051991747 scopus 로고    scopus 로고
    • The Complexity of Testing Monomials in Multivariate Polynomials
    • Wang, W., Zhu, X., Du, D.-Z. (eds.) COCOA 2011. Springer, Heidelberg
    • Chen, Z., Fu, B.: The Complexity of Testing Monomials in Multivariate Polynomials. In: Wang, W., Zhu, X., Du, D.-Z. (eds.) COCOA 2011. LNCS, vol. 6831, pp. 1-15. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6831 , pp. 1-15
    • Chen, Z.1    Fu, B.2
  • 3
    • 80051980896 scopus 로고    scopus 로고
    • Algorithms for Testing Monomials in Multivariate Polynomials
    • Wang, W., Zhu, X., Du, D.-Z. (eds.) COCOA 2011. Springer, Heidelberg
    • Chen, Z., Fu, B., Liu, Y., Schweller, R.: Algorithms for Testing Monomials in Multivariate Polynomials. In: Wang, W., Zhu, X., Du, D.-Z. (eds.) COCOA 2011. LNCS, vol. 6831, pp. 16-30. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6831 , pp. 16-30
    • Chen, Z.1    Fu, B.2    Liu, Y.3    Schweller, R.4
  • 5
    • 4243139497 scopus 로고    scopus 로고
    • A polynomial-time ap- priximation algorithm for the permanent of a matrix with nonnegative entries
    • Jerrum, M., Sinclaire, A., Vigoda, E.: A polynomial-time ap- priximation algorithm for the permanent of a matrix with nonnegative entries. Journal of the ACM 51(4), 671-697 (2004)
    • (2004) Journal of the ACM , vol.51 , Issue.4 , pp. 671-697
    • Jerrum, M.1    Sinclaire, A.2    Vigoda, E.3
  • 9
    • 0038967057 scopus 로고    scopus 로고
    • An intractability result for multiple integration
    • Sloan, I.H., Wozniakowski, H.: An intractability result for multiple integration. Math. Comput. 66(219), 1119-1124 (1997)
    • (1997) Math. Comput. , vol.66 , Issue.219 , pp. 1119-1124
    • Sloan, I.H.1    Wozniakowski, H.2
  • 10
    • 0002636933 scopus 로고
    • A simplified satisfiability problem
    • Tovey, C.A.: A simplified satisfiability problem. Discrete Applied Mathematics 8, 85-89 (1984)
    • (1984) Discrete Applied Mathematics , vol.8 , pp. 85-89
    • Tovey, C.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.