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Volumn 31, Issue 3, 2004, Pages 357-367

An Inequality for Circle Packings Proved by Semidefinite Programming

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EID: 1842765498     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00454-003-2880-2     Document Type: Article
Times cited : (11)

References (17)
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  • 7
    • 0010283607 scopus 로고
    • On Thurston's formulation and proof of Andreev's theorem
    • LNM 1435, Springer-Verlag, New York
    • A. Marden and B. Rodin, On Thurston's formulation and proof of Andreev's theorem, in Computational Methods and Function Theory, LNM 1435, Springer-Verlag, New York, 1989, pp. 103-115.
    • (1989) Computational Methods and Function Theory , pp. 103-115
    • Marden, A.1    Rodin, B.2
  • 9
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • to appear, doi:10.1007/s10107-003-0387-5
    • P. A. Parrilo, Semidefinite programming relaxations for semialgebraic problems. Math. Programming, to appear, doi:10.1007/s10107-003-0387-5. Available from http://control.ee.ethz.ch/~parrilo, 2001.
    • (2001) Math. Programming
    • Parrilo, P.A.1
  • 10
    • 1842641556 scopus 로고    scopus 로고
    • Iterations of concave maps, the Perron-Frobenius theory and applications to circle packings
    • R. Peretz, Iterations of concave maps, the Perron-Frobenius theory and applications to circle packings, Electron. J. Linear Algebra, 9, (2002), 197-254.
    • (2002) Electron. J. Linear Algebra , vol.9 , pp. 197-254
    • Peretz, R.1
  • 11
    • 0001157581 scopus 로고    scopus 로고
    • Some concrete aspects of Hubert's 17th problem
    • American Mathematical Society, Providence, RI
    • B. Reznick, Some concrete aspects of Hubert's 17th problem, in Contemporary Mathematics, volume 253, pages 251-272, American Mathematical Society, Providence, RI, 2000.
    • (2000) Contemporary Mathematics , vol.253 , pp. 251-272
    • Reznick, B.1
  • 12
    • 84972500328 scopus 로고
    • The convergence of circle packings to the Riemann mapping
    • B. Rodin and D. Sullivan, The convergence of circle packings to the Riemann mapping, J. Differential Geom., 26 (1987), 349-360.
    • (1987) J. Differential Geom. , vol.26 , pp. 349-360
    • Rodin, B.1    Sullivan, D.2
  • 14
    • 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)(1987),731-734. (Russian orig.: Kibernetika, No. 6, (1987), 9-11).
    • (1987) Cybernetics , vol.23 , Issue.6 , pp. 731-734
    • Shor, N.Z.1
  • 15
    • 0000604097 scopus 로고
    • Russian orig.
    • N.Z.Shor, Class of global minimum bounds of polynomial functions, Cybernetics, 23(6)(1987),731-734. (Russian orig.: Kibernetika, No. 6, (1987), 9-11).
    • (1987) Kibernetika , vol.6 , pp. 9-11
  • 16
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • Version 1.05
    • J.F. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, Optim. Methods Software, 11-12 (1999), 625-653. Version 1.05 is available at http://fewcal.kub.nl/sturm/software/sedumi.html.
    • (1999) Optim. Methods Software , vol.11-12 , pp. 625-653
    • Sturm, J.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.