fsolve_test

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

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

fsolve or fsolve_test 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 and an R version.

Related Data and Programs:

octave_ode_solver, an Octave code which solves one or more differential equations (ODE) using a method of a particular order, either explicit or implicit. Some methods require a nonlinear equation solver. Some methods used a fixed stepsize, while others adapt the stepsize based on an error estimate.

test_nonlin, an Octave code which implements test problems for the solution of systems of nonlinear equations.

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

zero_chandrupatla, an Octave 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_laguerre, an Octave 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_muller, an Octave code which seeks a root of a nonlinear equation using the Muller method, with complex arithmetic.

Source Code:

• fsolve_test.m calls all the tests;
• fsolve_test.sh runs all the tests;
• fsolve_test.txt the output file;

• fsolve_test01.m applies fsolve() to some scalar nonlinear equations.
• fsolve_test02.m applies fsolve() to some systems of- nonlinear equations.
• timestamp.m prints the YMDHMS date as a timestamp;