roots.f90 File Reference

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Data Types
type	roots::roots_typ
	basic type for root finding functions More...

Modules
module	roots
	root finding subroutines

Functions/Subroutines
pure subroutine, public	roots::initroots (this, x1, x2, f1, f2, dxacc, maxiter)
character(len=64) function, public	roots::geterrormessage (error)
subroutine	roots::getroot_generic (this, Stepper, func, x1, x2, dxacc, maxiter, plist, xm)
subroutine, public	roots::getroot_newton (funcd, x1, x2, root, error, plist, xm, iterations)
subroutine, public	roots::getroot_regulafalsi (func, x1, x2, root, error, plist, xm, iterations)
subroutine, public	roots::getroot_pegasus (func, x1, x2, root, error, plist, xm, iterations)
subroutine, public	roots::getroot_king (func, x1, x2, root, error, plist, xm, iterations)
subroutine, public	roots::getroot_andersonbjoerk (func, x1, x2, root, error, plist, xm, iterations)
subroutine, public	roots::getroot_ridder (func, x1, x2, root, error, plist, xm, iterations)
subroutine, public	roots::getroot_brentdekker (func, x1, x2, root, error, plist, xm, iterations)
subroutine, public	roots::getroot_bisection (func, x1, x2, root, error, plist, xm, iterations)
pure subroutine	roots::updatebounds_bisection (this)
pure subroutine	roots::step_bisection (this)
pure subroutine	roots::step_newton (this)
pure subroutine	roots::step_regulafalsi (this)
pure subroutine	roots::step_pegasus (this)
pure subroutine	roots::step_king (this)
pure subroutine	roots::step_andersonbjoerk (this)
pure subroutine	roots::step_ridder (this)
pure subroutine	roots::step_brentdekker (this)
pure subroutine	roots::step_secantmethod (this)
pure subroutine	roots::saveinversequadraticinterpolation (a, b, c, fa, fb, fc, db_numer, db_denom)
pure subroutine	roots::step_arithmeticmean (this)
pure real function	roots::arithmeticmean (a, b)
pure real function	roots::linearinterpolation (x1, x2, f1, f2)
pure subroutine	roots::testconvergence (this)

Variables
integer, parameter, public	roots::default_max_iterations = 1000
real, parameter, public	roots::default_accuracy = 4*EPSILON(DEFAULT_ACCURACY)
character(len=64), dimension(0:4), parameter	roots::error_message = (/ "unknown error ", "root not bracketed ", "iteration exceeds maximum ", "requested accuracy smaller than machine precission ", "upper limit for iterations should be larger than 1 " /)