# Bisection Method Fortran

# Bisectional method Bisection.f90 # Closed Domain (Bisectional or False position selected by a key) CDomain.f90 # Open Domain: Newton's method Newton1.f90 # Open Domain: The method of secants Secant.f90 # Brute force method for multiple roots BForce.f90 # Solutions of a system of two nonlinear equations f(x,y) = 0, g(x,y) = 0 Newton2.f90. Bisection method in fortran 90 Fortran; Thread starter jhosamelly; Start date Dec 14, 2012; Dec 14, 2012 #1 jhosamelly. Bisection method for the equation x3.

**BRENT**, a FORTRAN90 code which contains algorithms for finding zeros or minima of a scalar function of a scalar variable, by Richard Brent.

The methods do not require the use of derivatives, and do not assume that the function is differentiable.

### Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

### Languages:

**BRENT** is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

### Related Data and Programs:

ASA047, a FORTRAN90 code which minimizes a scalar function of several variables using the Nelder-Mead algorithm.

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.

COMPASS_SEARCH, a FORTRAN90 code which seeks the minimizer of a scalar function of several variables using compass search, a direct search algorithm that does not use derivatives.

NELDER_MEAD, a MATLAB program which minimizes a scalar function of several variables using the Nelder-Mead algorithm.

NMS, a FORTRAN90 code which includes versions of Brent's minimizer and zero finder.

PRAXIS, a FORTRAN90 code which minimizes a scalar function of several variables.

SLATEC, a FORTRAN90 code which includes the zero finder FZERO.

TEST_OPT, a FORTRAN90 code which defines test problems requiring the minimization of a scalar function of several variables.

TEST_OPTIMIZATION, a FORTRAN90 code which defines test problems for the minimization of a scalar function of several variables, as described by Molga and Smutnicki.

TEST_ZERO, a FORTRAN90 code which defines some test functions for which zeroes can be sought.

TOMS178, a FORTRAN90 code which optimizes a scalar functional of multiple variables using the Hooke-Jeeves method.

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.

ZOOMIN, a FORTRAN90 code which includes various zero finder routines.

### Bisection Method Fortran Programming

### Author:

### Bisection Method Fortran Tutorial

Original FORTRAN77 version by Richard Brent; FORTRAN90 version by John Burkardt.

### Reference:

- Richard Brent,

Algorithms for Minimization without Derivatives,

Dover, 2002,

ISBN: 0-486-41998-3,

LC: QA402.5.B74.

### Source Code:

- brent.f90, the source code.

*Last revised on 22 January 2019.*