# zero_muller

zero_muller, a Fortran90 code which seeks a root of a nonlinear equation using Muller's method, with complex arithmetic.

### Languages:

zero_muller is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

### Related Data and Programs:

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.

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.

slatec, a Fortran90 code which includes the zero finder fzero().

test_zero, a Fortran90 code which defines some test functions for which zeroes can be sought.

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_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.

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.

### Reference:

1. Gisela Engeln-Muellges, Frank Uhlig,
Numerical Algorithms with C,
Springer, 1996,
ISBN: 3-540-60530-4,
LC: QA297.E56213.

### Source Code:

Last revised on 25 March 2024.