Computation of all solutions to a system of polynomial equations

Equilibrium Points of Bimatrix Games

1964 • 1,252 citations

The Approximation of Fixed Points of a Continuous Mapping

2011 • 475 citations

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

1980 • 437 citations

Homotopies for computation of fixed points on unbounded regions

1972 • 214 citations

The Solution of Systems of Piecewise Linear Equations

1976 • 177 citations

Finding all solutions to polynomial systems and other systems of equations

1979 • 141 citations

On the Number of Solutions to Polynomial Systems of Equations

1980 • 133 citations

Determining All Solutions to Certain Systems of Nonlinear Equations

1979 • 123 citations

Analysis and Computation of Fixed Points

1980 • 110 citations

Fixed Points. Algorithms and Applications

1977 • 98 citations

A homotopy method for locating all zeros of a system of polynomials

1979 • 98 citations

Union Jack Triangulations

1977 • 57 citations

A new proof of the fundamental theorem of algebra

1974 • 48 citations

A Simple Reliable Numerical Algorithm for Following Homotopy Paths

1980 • 33 citations

On the homotopic approach to systems of equations with separable mappings

1978 • 32 citations

Finding Roots of Polynomials By Pivoting

1977 • 27 citations

Traversing Large Pieces of Linearity in Algorithms that Solve Equations by Following Piecewise-Linear Paths

1980 • 23 citations

On Piecewise Linear Approximations to Smooth Mappings

1979 • 22 citations

Studies on Piecewise-Linear Approximations of Piecewise-C¹ Mappings in Fixed Points and Complementarity Theory

1978 • 22 citations

A PL homotopy for finding all the roots of a polynomial

1979 • 21 citations

Exploiting structure in piecewise-linear homotopy algorithms for solving equations

1980 • 18 citations