SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS
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[1] Erratum zu: Über die lösung algebraischer gleichungssysteme durch hypergeometrische funktionen , 1936 .
[2] Karl Mayr,et al. Über die Lösung algebraischer Gleichungssysteme durch hypergeometrische Funktionen , 1936 .
[3] W. Gröbner,et al. Über eine neue idealtheoretische Grundlegung der algebraischen Geometrie , 1938 .
[4] W. Gröbner,et al. Über die algebraischen Eigenschaften der Integrale von linearen Differentialgleichungen mit konstanten Koeffizienten , 1939 .
[5] J. Nash,et al. NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.
[6] C. E. Lemke,et al. Equilibrium Points of Bimatrix Games , 1964 .
[7] George M. Bergman,et al. The logarithmic limit-set of an algebraic variety , 1971 .
[8] A. Iarrobino,et al. Reducibility of the families of 0-dimensional schemes on a variety , 1972 .
[9] Herbert E. Scarf,et al. The Computation of Economic Equilibria , 1974 .
[10] I. Shafarevich. Basic algebraic geometry , 1974 .
[11] G. Stengle. A nullstellensatz and a positivstellensatz in semialgebraic geometry , 1974 .
[12] Jan-Erik Björk,et al. Rings of differential operators , 1979 .
[13] R. Bieri,et al. The geometry of the set of characters iduced by valuations. , 1984 .
[14] E. Allgower,et al. Numerical Continuation Methods , 1990 .
[15] J. Risler,et al. Real algebraic and semi-algebraic sets , 1990 .
[16] Eugene L. Allgower,et al. Numerical continuation methods - an introduction , 1990, Springer series in computational mathematics.
[17] Joe Harris,et al. The Geometry Of Schemes , 1992 .
[18] N. V. Ilyushechkin. Discriminant of the characteristic polynomial of a normal matrix , 1992 .
[19] David A. Cox,et al. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics) , 2007 .
[20] Bernd Sturmfels,et al. Product formulas for resultants and Chow forms , 1993 .
[21] W. Fulton. Introduction to Toric Varieties. , 1993 .
[22] Bernd Sturmfels,et al. On the Newton Polytope of the Resultant , 1994 .
[23] B. Sturmfels,et al. Binomial Ideals , 1994, alg-geom/9401001.
[24] B. Sturmfels,et al. Multigraded Resultants of Sylvester Type , 1994 .
[25] D. Eisenbud. Commutative Algebra: with a View Toward Algebraic Geometry , 1995 .
[26] B. Sturmfels. Gröbner bases and convex polytopes , 1995 .
[27] John K. McDonald. Fiber polytopes and fractional power series , 1995 .
[28] Bernd Sturmfels,et al. Initial Complexes of Prime Ideals , 1995 .
[29] Maria Grazia Marinari,et al. ON MULTIPLICITIES IN POLYNOMIAL SYSTEM SOLVING , 1996 .
[30] Jeffrey C. Lagarias,et al. Multivariate descartes rule of signs and sturmfels’s challenge problem , 1997 .
[31] Gerhard Pfister,et al. Primary Decomposition: Algorithms and Comparisons , 1997, Algorithmic Algebra and Number Theory.
[32] J. Duistermaat,et al. Constant terms of powers of a Laurent polynomial , 1998 .
[33] Tien Yien Li,et al. Numerical solution of multivariate polynomial systems by homotopy continuation methods , 1997, Acta Numerica.
[34] Andrew McLennan,et al. The Maximal Number of Regular Totally Mixed Nash Equilibria , 1997 .
[35] Bernd Sturmfels,et al. Lattice Walks and Primary Decomposition , 1998 .
[36] P. Diaconis,et al. Algebraic algorithms for sampling from conditional distributions , 1998 .
[37] P. Lax. On the discriminant of real symmetric matrices , 1998 .
[38] N. Shor. Nondifferentiable Optimization and Polynomial Problems , 1998 .
[39] David A. Cox,et al. Using Algebraic Geometry , 1998 .
[40] Ulrich Oberst,et al. The Construction of Noetherian Operators , 1999 .
[41] Bernhard von Stengel,et al. New Maximal Numbers of Equilibria in Bimatrix Games , 1999, Discret. Comput. Geom..
[42] Yang Yu. The Permanent Rank of a Matrix , 1999, J. Comb. Theory, Ser. A.
[43] Fabrice Rouillier,et al. Solving Zero-Dimensional Systems Through the Rational Univariate Representation , 1999, Applicable Algebra in Engineering, Communication and Computing.
[44] H. Wynn,et al. Algebraic Statistics: Computational Commutative Algebra in Statistics , 2000 .
[45] Serkan Hosten,et al. Primary Decomposition of Lattice Basis Ideals , 2000, J. Symb. Comput..
[46] Bernd Sturmfels,et al. Solving algebraic equations in terms of A-hypergeometric series , 2000, Discret. Math..
[47] Reinhard C. Laubenbacher,et al. Permanental Ideals , 2000, J. Symb. Comput..
[48] Mikael Passare,et al. Laurent determinants and arrangements of hyperplane amoebas , 2000 .
[49] S E Fienberg,et al. INAUGURAL ARTICLE by a Recently Elected Academy Member:Bounds for cell entries in contingency tables given marginal totals and decomposable graphs , 2000 .
[50] P. Parrilo. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .
[51] Martin Kreuzer,et al. Computational Commutative Algebra 1 , 2000 .
[52] John F. Canny,et al. A subdivision-based algorithm for the sparse resultant , 2000, JACM.
[53] B. Sturmfels,et al. Grbner Deformations of Hypergeometric Differential Equations , 2000 .
[55] Michael L. Littman,et al. Graphical Models for Game Theory , 2001, UAI.
[56] David Eisenbud,et al. Resultants and Chow forms via exterior syzygies , 2001, math/0111040.
[57] Andrew J. Sommese,et al. Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components , 2000, SIAM J. Numer. Anal..
[58] Pablo A. Parrilo,et al. Minimizing Polynomial Functions , 2001, Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science.
[59] Xing Li,et al. Finding Mixed Cells in the Mixed Volume Computation , 2001, Found. Comput. Math..
[60] G. Greuel,et al. A Singular Introduction to Commutative Algebra , 2002 .
[61] Amit Khetan. Determinantal formula for the chow form of a toric surface , 2002, ISSAC '02.
[62] J. McDonald. Fractional Power Series Solutions for Systems of Equations , 2002, Discret. Comput. Geom..