#
bisection

**bisection**,
an Octave code which
applies the bisection method to seek a root of f(x)
over a change-of-sign interval a <= x <= b.

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Licensing:

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

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Languages:

**bisection** is available in
a MATLAB version and
an Octave version and
an R version.

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Related Data and Programs:

bisection_test

bisection_integer,
an Octave 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,
an Octave 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,
an Octave code which
calls fsolve() which
seeks the solution x of one or more nonlinear equations f(x)=0.

nonlin_bisect,
an Octave code which
interactively applies bisection to seek a root of f(x)
over a change-of-sign interval a <= x <= b.

nonlin_fixed_point,
an Octave code which
interactively uses fixed point iteration x=g(x) to seek a zero of a function f(x)
given a starting point x0 and a number of iterations it;

nonlin_newton,
an Octave code which
interactively uses Newton's method to find the zero of a function,
given formulas for f(x), f'(x), and a starting point.

nonlin_regula,
an Octave code which
interactively uses the regula falsi method to seek a zero of a function f(x)
within a domain a ≤ x ≤ b;

nonlin_secant,
an Octave code which
interactively uses the secant method to seek a zero of a function f(x)
given two starting estimates a and b.

nonlin_snyder,
an Octave code which
interactively uses Snyder's variation of the regula falsi method
to seek a zero of a function f(x) within a change of sign interval [a,b];

test_zero,
an Octave code which
implements test problems for the solution
of a single nonlinear equation in one variable.

zero,
an Octave code which
seeks a solution of a scalar nonlinear equation f(x) = 0,
by Richard Brent.

zero_rc,
an Octave code which
seeks solutions of a scalar nonlinear equation f(x) = 0,
or a system of nonlinear equations,
using reverse communication.

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Source Code:

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Last revised on 04 December 2023.
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