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Volumn , Issue , 2007, Pages 207-208

A Macaulay 2 package for computing sum of squares decompositions of polynomials with rational coefficients

Author keywords

Algebraic geometry; Semideffinite programming; Sum of squares; Symbolic numerical methods

Indexed keywords

COMPUTATION THEORY; COMPUTER SOFTWARE; MATHEMATICAL PROGRAMMING; NUMERICAL METHODS;

EID: 36448998081     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1277500.1277534     Document Type: Conference Paper
Times cited : (12)

References (10)
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    • G. Golub and C. van Loan. Matrix Computations, chapter 4, pages 133-148. Johns Hopkins Series in the Mathematical Sciences. The Johns Hopkins University Press, Baltimore Maryland, 2nd edition, 1989.
    • (1989) Johns Hopkins Series in the Mathematical Sciences , pp. 133-148
    • Golub, G.1    van Loan, C.2
  • 3
    • 36448941914 scopus 로고    scopus 로고
    • a software system for research in algebraic geometry. Available at
    • D. R. Grayson and M. E. Stillman. Macaulay 2, a software system for research in algebraic geometry. Available at http://www.math.uiuc.edu/Macaulay2/ .
    • Macaulay , vol.2
    • Grayson, D.R.1    Stillman, M.E.2
  • 4
    • 0011028384 scopus 로고
    • Über die Darstellung definiter Funktionen als Summe von Quadraten
    • E. Landau. Über die Darstellung definiter Funktionen als Summe von Quadraten. Math. Ann., 62:290-329, 1906.
    • (1906) Math. Ann , vol.62 , pp. 290-329
    • Landau, E.1
  • 5
    • 36448948750 scopus 로고    scopus 로고
    • Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, California, Institute of Technology
    • P. A. Parrilo. Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, California, Institute of Technology, 2000.
    • (2000)
    • Parrilo, P.A.1
  • 6
    • 36448989800 scopus 로고    scopus 로고
    • H. Peyrl and P. A. Parrilo. SOS.m2, a sum of squares package for Macaulay 2. Available at http://www.control.ee.ethz.ch/~hpeyrl, 2007.
    • H. Peyrl and P. A. Parrilo. SOS.m2, a sum of squares package for Macaulay 2. Available at http://www.control.ee.ethz.ch/~hpeyrl, 2007.
  • 7
    • 0001157581 scopus 로고    scopus 로고
    • Some concrete aspects of Hubert's 17th problem
    • Real algebraic geometry and ordered structures, of, Amer. Math. Soc, Providence, RI
    • B. Reznick. Some concrete aspects of Hubert's 17th problem. In Real algebraic geometry and ordered structures, volume 253 of Contemporary Mathematics, pages 251-272. Amer. Math. Soc., Providence, RI, 2000.
    • (2000) Contemporary Mathematics , vol.253 , pp. 251-272
    • Reznick, B.1
  • 9
    • 0000604097 scopus 로고
    • Class of global minimum bounds of polynomial functions
    • N. Z. Shor. Class of global minimum bounds of polynomial functions. Cybernetics, 23(6):731-734, 1987.
    • (1987) Cybernetics , vol.23 , Issue.6 , pp. 731-734
    • Shor, N.Z.1
  • 10
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • March
    • L. Vandenberghe and S. Boyd. Semidefinite programming. SIAM Review, 38(1):49-95, March 1996.
    • (1996) SIAM Review , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.