4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Non linear equation solvers:

C.1b 0 ∞ range :

C.2b 0 ∞ range :

C.wb 0 ∞ range :

<-- parameters variation range

ε 0.5 0 ∞ range :

eg:

C.1b 1000000 :

C.2b 0 :

C.wb 1000000 :

<-- no solution with your plugin

C.1b 0 :

C.2b 0 :

C.wb 1000000 :

<-- good solution with the major part plugin algorithmes

C.1b 1 :

C.2b 1 :

C.wb 1 :

C.1b 0 :

C.2b 0 :

C.wb 0.1 :

ε Fon C.wb C.1b * C.2b * 22 ε cos * - ε ε sin * - (* C.1b C.2b + (C.wb * ε * ε sin ε ε cos * - (* + C.wb C.1b C.2b * + (ε 3^* ε sin * + C.1b C.2b + (ε 4^* ε cos * + ε 5^ε sin * - :

ε Fon (ε diff 10000001000000 ε ε cos * - ε sin + (* ε 2^ε ε cos * ε sin + (* + (* ε 2^10000002 ε ε cos * 500001 ε sin * + (* ε ε ε sin * - 2 ε cos * + (* + (* - ε 2^5 ε sin * ε ε cos * + (* + (* -

x Fon x Fon ( x diff 2 1 sys

step 0 :

nsteps 1000 :

Δa 0.5 :

a 0.01 :

b a Δa + :

fa a Fon :

fb b Fon :

fa 3333.32

fb 2.197 1010^*

step nsteps ≤ (fa fb * 0 > (& step step 1 + : a b : b a Δa + : fa a Fon : fb b Fon : 51 line while

step 8

a 4.01

b 4.51

fa 7.3274 1012^*

fb 3.2955 1011^* -

iter 0 :

niter 500 :

ai a :

Δa 0.001 :

niteri 500 :

iter niter ≤ (a b - abs 103 -^> (& fa fb * abs 0 > (& iter iter 1 + : fa a Fon : fb b Fon : c a b a - (fa fa fb - / * + : fc c Fon : fa fc * 0 ≥ a c : b c : if 61 line while

Fai 10200^:

εF 105 -^:

it 0 :

it niteri ≤ (Fai abs εF > (& it it 1 + : Fai ai Fon : FaiΔ ai Δa + Fon : ai ai Fai Fai FaiΔ - Δa / / + (: 41 line while

it 501

iter 7

ε --->

a 4.4934

fa 2.0245

ai 4.4934

ai Fon 0.0281

b 4.4934

fb 3.2955 1011^* -

ε.cr ai :

ε --->

c 4.4934

fc 0.113 -

β π ε.cr / :

β 0.6992

a Fon eval 2.0245

b Fon eval 0.113 -

Plugin # :

ε Fon a b 105 -^1001 Bisection #

ε Fon a 105 -^1001 NewtonRaphson #

ε Fon a b 105 -^1001 Ridder #

ε Fon a b 105 -^1001 Secant #

ε Fon a b 105 -^1001 BDQRF #

ε Fon a b 105 -^100 Brent #

ε Fon a 105 -^100 Broyden #

ε Fon a HRE #

ε Fon a HRE.B #