Finding all solutions to polynomial systems and other systems of equations

Iterative Solution of Nonlinear Equations in Several Variables

2000 • 6,865 citations

Topology from the Differentiable Viewpoint.

1967 • 1,474 citations

Equilibrium Points of Bimatrix Games

1964 • 1,252 citations

Bimatrix Equilibrium Points and Mathematical Programming

1965 • 1,020 citations

The Computation of Economic Equilibria.

1974 • 873 citations

The Approximation of Fixed Points of a Continuous Mapping

2011 • 475 citations

A convergent process of price adjustment and global newton methods

1976 • 420 citations

The Computation of Fixed Points and Applications

1976 • 416 citations

Widely Convergent Method for Finding Multiple Solutions of Simultaneous Nonlinear Equations

1972 • 377 citations

Homotopies for computation of fixed points

1972 • 327 citations

The Solution of Systems of Piecewise Linear Equations

1976 • 177 citations

Constructive Aspects of the Fundamental Theorem of Algebra

1972 • 157 citations

On Solving Nonlinear Equations with a One-Parameter Operator Imbedding

1968 • 123 citations

Determining All Solutions to Certain Systems of Nonlinear Equations

1979 • 123 citations

Numerical Solutions by the Continuation Method

1973 • 101 citations

Deflation techniques for the calculation of further solutions of a nonlinear system

1971 • 83 citations

Sandwich method for finding fixed points

1975 • 77 citations

A unification of the existence theorems of the nonlinear complementarity problem

1975 • 52 citations

Global Continuation Methods for Finding all Solutions to Polynomial Systems of Equations in N Variables

1980 • 44 citations

Analytic Functional Mappings

1953 • 41 citations

A unified approach to complementarity in optimization

1974 • 37 citations

A Theorem on Homotopy Paths

1978 • 35 citations

Finding Roots of Polynomials By Pivoting

1977 • 27 citations

Constructive proofs of theorems relating to:F(x) = y, with applications

1977 • 23 citations

Computation of Solutions to Nonlinear Equations Under Homotopy Invariance

1977 • 18 citations

The solution of systems of non-linear equations by a method of differentiation with respect to a parameter

1964 • 18 citations

An Eccentric Barycentric fixed Point Algorithm

1977 • 10 citations

Lectures on Differential Topology

2021 • 7 citations

Constructive aspects of the fundamental theorem of algebra : proceedings of a symposium conducted at the IBM Research Laboratory, Zürich-Rüschlikon, Switzerland, June 5-7, 1967

1969 • 6 citations