newtonIteration: newtonIteration

In ppcamp/r-edo-solver: Some mathematical algorithms used in numeric solutions

Description

Calculates root using newton's method.

Usage

newtonIteration(func, funcDeriv, p0, n0, tol, VERBOSE, VECTOR, DECIMAL)

Arguments

func	STRING Derivative formula write in STRING. NOTE: observes that exponential values must use '**' instead operator '^'
funcDeriv	STRING Deriv of func parameter. See details
p0	NUMBER Initial approximation
tol	OPTIONAL NUMBER Tolerance, how close to 0 must be. NOTE: default value is 10⁻¹⁵
n0	NUMBER Maximum n0s to run. It will loop n0 times, however, if find root, will stop before.
VERBOSE	OPTIONAL BOOLEAN See results for each iteration
VECTOR	OPTIONAL BOOLEAN Return a Data frame with calculated values, instead of P, i.e., not show if 'Fail'.
DECIMAL	OPTIONAL NUMBER Pass a value to round variables. By default, is settled to 13

Details

Depends of getFuncValue()

Value

DEFAULT	FLOAT Possible solution for a f(x) or 'Fail'.
VECTOR=1	DATA FRAME Iterations values, where i is equal to line row

Note

How to see response for (i in 2:nrow(l))

cat( sprintf("%d\t %.9f\t %.9f\t %.9f\t %.9f", l[i,1],l[i,2],l[i,3],l[i,4],l[i,5]), sep='\n')

Error: Due this msg: Error in deriv.default(a,'x') : invalid expression in 'FindSubexprs' you must pass funcDeriv also.

See Also

Numerical Analysis 9ed Burden

Examples

newtonIteration(func='cos(x)-x', funcDeriv='-sin(x)-1', p0=pi/4, n0=4, tol=10^-9, DECIMAL=9, VERBOSE=1)

ppcamp/r-edo-solver documentation built on Dec. 30, 2021, 12:19 a.m.