zero_laguerre, a Fortran90 code which uses Laguerre's method to find the zero of a function. The method needs first and second derivative information. The method almost always works when the function is a polynomial.
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zero_laguerre is available in a Fortran90 version.
bisection, a Fortran90 code which applies the bisection method to seek a root of f(x) over a change-of-sign interval a <= x <= b.
bisection_integer, a Fortran90 code which seeks an integer solution to the equation F(X)=0, using bisection within a user-supplied change of sign interval [A,B].
bisection_rc, a Fortran90 code which seeks a solution to the equation F(X)=0 using bisection within a user-supplied change of sign interval [A,B]. The procedure is written using reverse communication (RC).
fsolve_test, a Fortran90 code which calls fsolve() which seeks the solution x of one or more nonlinear equations f(x)=0.
nms, a Fortran90 code which includes versions of Brent's zero finder.
root_rc, a Fortran90 code which seeks a solution of a scalar nonlinear equation f(x) = 0, or a system of nonlinear equations, using reverse communication (RC), by Gaston Gonnet.
test_zero, a Fortran90 code which defines functions which can be used to test zero finders.
toms419, a Fortran90 code which seeks all the roots of a polynomial with complex coefficients, commonly known as cpoly(); this is a version of ACM TOMS algorithm 419.
zero_brent, a Fortran90 code which seeks a solution of a scalar nonlinear equation f(x) = 0, by Richard Brent.
zero_chandrupatla, a Fortran90 code which finds a zero of a scalar function of a scalar variable, starting from a change of sign interval, using the Chandrupatla method, which can converge faster than bisection, regula falsi, or Brent's method, by Tirupathi Chandrapatla.
zero_itp, a Fortran90 code which finds a zero of a scalar function of a scalar variable, starting from a change of sign interval, using the Interpolate/Truncate/Project (ITP) method, which has faster convergence than the bisection method.
zero_muller, a Fortran90 code which seeks a root of a nonlinear equation using the Muller method, with complex arithmetic.
zero_rc, a Fortran90 code which seeks solutions of a scalar nonlinear equation f(x) = 0, or a system of nonlinear equations, using reverse communication (RC).
zoomin, a Fortran90 code which includes various zero finder routines.