Darstellung des Lösungsverlaufs

ab173c3b-45c1-4fec-883f-8fb710499b46 2 4 5 decimal

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Exact symbolic solution using Solve() from the Maxima plugin

Solve provides the solution in equation format

x sqrt 5 ≡ x Solve x 25 ≡

Assign() converts the equation into an assignment

x sqrt 5 ≡ x Solve Assign 25

x 25

x sqrt 5

Approximate numeric solution using NewtonRaphson() from the Nonlinear Solvers plugin

x Clear 1

n.max 10 :

Maximale Zahl der Iterationen

Maximum number of iterations

Δf 0.0001 :

Funktionstoleranz

Tolerance for the function value

Δx 0.0001 :

Variablentoleranz

Tolerance for the variable

x.0

x.0 6

Startwert

Initial guess

L x sqrt 5 ≡ (x.0 Δf Δx n.max 110 NewtonRaphson :

Darstellung des Lösungsverlaufs Create the visualization object from the solution summary

L# P V# L# 3 el 2 L# 3 el rows 14 submatrix : r 02 matrix : i 1 L# 2 el 1 el range r r V# i 2 el 012 mat stack (: r r V# i 2 el V# i 4 el 12 mat stack (: 21 line for r 41 line :

L 25411 mat i x J(x) f(x) 06 0.2041 2.5505 - 1 18.4949 0.1163 0.6994 - 2 24.5108 0.101 0.0492 - 3 24.9976 0.1 0.0002 - 425 0.1 5.8417 109 -^* - 64 mat 31 mat

x sqrt 5 - L P 2 1 sys

L 25411 mat i x J(x) f(x) 06 0.2041 2.5505 - 1 18.4949 0.1163 0.6994 - 2 24.5108 0.101 0.0492 - 3 24.9976 0.1 0.0002 - 425 0.1 5.8417 109 -^* - 64 mat 31 mat