Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares
暂无分享,去创建一个
[1] Rekha R. Thomas,et al. Semidefinite Optimization and Convex Algebraic Geometry , 2012 .
[2] Grigoriy Blekherman. Positive Gorenstein ideals , 2012, 1203.3775.
[3] Susan M. Cooper,et al. Containment results for ideals of various configurations of points in PN , 2011, 1109.1884.
[4] Bernd Sturmfels,et al. Algebraic boundaries of Hilbert’s SOS cones , 2011, Compositio Mathematica.
[5] Grigoriy Blekherman,et al. Nonnegative Polynomials and Sums of Squares , 2010, 1010.3465.
[6] Jiawang Nie,et al. Discriminants and nonnegative polynomials , 2010, J. Symb. Comput..
[7] M. Beltrametti,et al. Lectures on Curves, Surfaces and Projective Varieties , 2009 .
[8] Bruce Reznick,et al. On Hilbert's construction of positive polynomials , 2007, 0707.2156.
[9] C. Bocci,et al. Comparing powers and symbolic powers of ideals , 2007, 0706.3707.
[10] D. Koks,et al. Explorations in Mathematical Physics: The Concepts Behind an Elegant Language , 2006 .
[11] Hirokazu Anai,et al. SyNRAC: A Maple-Package for Solving Real Algebraic Constraints , 2003, International Conference on Computational Science.
[12] Pablo A. Parrilo,et al. Semidefinite programming relaxations for semialgebraic problems , 2003, Math. Program..
[13] A. Arsie,et al. A note on symbolic and ordinary powers of homogeneous ideals , 2003, ANNALI DELL UNIVERSITA DI FERRARA.
[14] Tomas Sauer,et al. Polynomial interpolation in several variables , 2000, Adv. Comput. Math..
[15] Lenore Blum,et al. Complexity and Real Computation , 1997, Springer New York.
[16] Joe W. Harris,et al. Algebraic Geometry: A First Course , 1995 .
[17] C. Walter. The minimal free resolution of the homogeneous ideal ofs general points in ℙ4 , 1995 .
[18] B. Reznick. Sums of Even Powers of Real Linear Forms , 1992 .
[19] A. Lorenzini. Betti numbers of points in projective space , 1990 .
[20] W. Massey. Cross products of vectors in higher dimensional euclidean spaces , 1983 .
[21] E. Artin. Über die Zerlegung definiter Funktionen in Quadrate , 1927 .
[22] D. Hilbert. Über die Darstellung definiter Formen als Summe von Formenquadraten , 1888 .
[23] Craig Huneke,et al. Commutative Algebra I , 2012 .
[24] M. Laurent. Sums of Squares, Moment Matrices and Optimization Over Polynomials , 2009 .
[25] Franz Lemmermeyer,et al. Introduction to Algebraic Geometry , 2005 .
[26] Alexander Barvinok,et al. A course in convexity , 2002, Graduate studies in mathematics.
[27] Rick Miranda,et al. LINEAR SYSTEMS OF PLANE CURVES , 1999 .
[28] Olga Taussky-Todd. SOME CONCRETE ASPECTS OF HILBERT'S 17TH PROBLEM , 1996 .
[29] L. Lovász,et al. Geometric Algorithms and Combinatorial Optimization , 1988, Algorithms and Combinatorics.
[30] D. Hilbert,et al. Ueber die Darstellung definiter Formen als Summe von Formenquadraten , 1888 .