[For univariate polynomials see the Algebra folder.]
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18286 Winfried Auzinger/Hans Stetter: An elimination algorithm for the computation
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18287 Winfried Auzinger/Hans Stetter: A study of numerical elimination for the
solution of multivariate polynomial systems. Internet 1989, 16p.

Daniel Bates/Jonathan Hauenstein/Andrew Sommese/Charles Wampler:
Numerically solving polynomial systems with Bertini. SIAM 2013, 350p.

18292 Didier Bondyfalat/Bernard Mourrain/Victor Pan: Solution of a polynomial system
of equations via the eigenvector computation. Lin. Alg. Appl. 319 (2000), 193-209.

18295 Laurent Buse'/Houssam Khalil/Bernard Mourrain: Resultant-based methods for
curves intersection problems. Springer LN CS 3718 (2005), 75-92.

Alicia Dickenstein/Ioannis Emiris (ed.): Solving polynomial equations.
Springer 2005, 450p. Eur 80.

Alicia Dickenstein/Frank-Olaf Schreyer/Andrew Sommese (ed.): Algorithms
in algebraic geometry. Springer 2007, 160p. Eur 78.

18294 Ioannis Emiris/Bernard Mourrain: Matrices in elimination theory. Internet 1999, 35p.

18977 Claudia Fassino: A robust monomial quotient basis for
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18976 Claudia Fassino: An approximation to the Gröbner basis of ideals
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18300 Daniel Lazard: Solving quintics by radicals. Internet 1997, 18p.

18298 Daniel Lazard: Solving systems of algebraic equations.
ACM SIGSAM Bull. 35/3 (2001), 11-37. Translation of "Resolution des systemes
d'equations algebriques" from Theor. Comp. Sci. 15 (1981), 77-110.

18299 Daniel Lazard: 25 years of polynomial system solving - and now?
Internet 2004, 3p.

18285 Dines Manocha/Shankar Krishnan: Solving algebraic systems using matrix
computations. Internet ca. 1996, 18p.

11672 H. Möller: Gröbner bases and numerical analysis.
In 11648 Buchberger/Winkler, 159-178.

18302 H. Möller/Hans Stetter: Multivariate polynomial equations with multiple zeros
solved by matrix eigenproblems. Num. Math. 70 (1995), 311-329.

18297 H. Möller/Ralf Tenberg: Multivariate polynomial system solving using
intersections of eigenspaces. J. Symb. Comp. 30 (2001), 1-19.

18291 Shuichi Moritsugu/Chisato Arai: Computing RUR solutions to polynomial systems
by matrix eigenproblems. Internet 2004, 3p.

18290 Shuichi Moritsugu/Kazuko Kuriyama: A linear algebra method for solving systems
of algebraic equations. J. Jap. Soc. Symb. Alg. Comp. 7/4 (2000), 2-22.

18293 Bernard Mourrain: An introduction to algebraic and geometric methods for
solving polynomial equations. INRIA ECG-TR-122102-01 (2002), 39p.

Bernard Mourrain/Victor Pan: Multivariate polynomials, duality, and structured
matrices. J. Complexity 16/1 (2000), 110-180.

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11693 Thomas Sauer: Polynomial interpolation of minimal degree and
Gröbner bases. In 11648 Buchberger/Winkler, 483-494.

26352 Henry Schenck: Review of the book "Numerically solving polynomial
systems with Bertini" by Daniel Bates a.o. Bull. AMS ... (2015), ...

Andrew Sommese/Jan Verschelde/Charles Wampler: Numerical decomposition of the solution
sets of polynomial systems into irreducible components.
SIAM J. Num. Analysis 38 (2001), 2022-2046.

18092 Andrew Sommese/Jan Verschelde/Charles Wampler: Advances in polynomial
continuation for solving problems in kinematics.
ASME J. Mech. Design 126 (2004), 262-268.

18116 Andrew Sommese/Charles Wampler: The numerical solution of systems of
polynomials. World Scientific 2005, 400p. Eur 58.

18289 Hans Stetter: Matrix eigenproblems are at the heart of polynomial system solving.
Internet 1997, 8p.

18288 Hans Stetter: Numerical polynomial algebra - concepts and algorithms.
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Hans Stetter: Numerical polynomial algebra. SIAM 2004, 470p. $93.

16011 Bernd Sturmfels: Polynomial equations and convex polytopes.
Am. Math. Monthly December 1998, 907-922.

16020 Bernd Sturmfels: Solving systems of polynomial equations.
AMS 2002, 150 p. $32.