Nonlinear Equations

ZEROS OF A POLYNOMIAL

ROUTINE DESCRIPTION
ZPLRC Finds the zeros of a polynomial with real coefficients using Laguerre's method.
ZPORC Finds the zeros of a polynomial with real coefficients using the Jenkins-Traub three-stage algorithm.
ZPOCC Finds the zeros of a polynomial with complex coefficients using the Jenkins-Traub three-stage algorithm.
 

ZEROS OF A FUNCTION

ROUTINE DESCRIPTION
ZANLY Finds the zeros of a univariate complex function using Müller's method.
ZUNI Finds a zero of a real univariate function.
ZBREN Finds a zero of a real function that changes sign in a given interval.
ZREAL Finds the real zeros of a real function using Müller's method.
 

ROOT OF A SYSTEM OF EQUATIONS

ROUTINE DESCRIPTION
NEQNF Solves a system of nonlinear equations using a modified Powell hybrid algorithm and a finite-difference approximation to the Jacobian.
NEQNJ Solves a system of nonlinear equations using a modified Powell hybrid algorithm with a user-supplied Jacobian.
NEQBF Solves a system of nonlinear equations using factored secant update with a finite-difference approximation to the Jacobian.
NEQBJ Solves a system of nonlinear equations using factored secant update with a user-supplied Jacobian.