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

Beispiele

Examples

Nichtlineare Gleichungen: Visualisierung des Konvergenzverhaltens

Nonlinear Equations: Example for Visualization of the Solution Summary

NewtonRaphson()

Nonlinear Solvers

Anwendungserweiterungen (Plugins)

Plugins

Beispiel: Schnittpunkte zweier Ellipsen

Example: Intersection of ellipses

Inhalt

Contents

E.1 x 2 / (2^y 4 / (2^+ 1 - :

E.2 x 1 - 2 / (2^y 2 + 4 / (2^+ 1 - :

P E.1 E.2 2 1 sys :

n.max 10 :

Maximale Zahl der Iterationen

Maximum number of iterations

Δf 0.01 :

Funktionstoleranz

Tolerance for the function value

Δx 0.01 :

Variablentoleranz

Tolerance for the variable

L E.1 E.2 21 mat 4 - 2 - 21 mat Δf Δx n.max 110 NewtonRaphson :

L 0.823 - 3.646 - 21 mat 411 mat i x J(x) f(x) 04 - 2 - 21 mat 2 - 0.25 - 2.5 - 022 mat 3.25 5.25 21 mat 1 1.9 - 5.8 - 21 mat 0.95 - 0.725 - 1.45 - 0.475 - 22 mat 2.005 2.005 21 mat 2 1.0646 - 4.1292 - 21 mat 0.5323 - 0.5161 - 1.0323 - 0.2661 - 22 mat 0.349 0.349 21 mat 3 0.8415 - 3.6831 - 21 mat 0.4208 - 0.4604 - 0.9208 - 0.2104 - 22 mat 0.0249 0.0249 21 mat 4 0.823 - 3.646 - 21 mat 0.4115 - 0.4558 - 0.9115 - 0.2058 - 22 mat 0.0002 0.0002 21 mat 64 mat 31 mat

L# P H L# 3 el : V# H 2 H rows range 2 el : r V# 1 el : j 2 V# rows range r r V# j el augment : for r r transpose x augment r transpose 21 sys : 51 line :

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args="1">-</e> <e type="operand">3.683</e> <e type="operator" args="1">-</e> <e type="operand" style="string">x</e> <e type="operand">0.823</e> <e type="operator" args="1">-</e> <e type="operand">3.646</e> <e type="operator" args="1">-</e> <e type="operand" style="string">x</e> <e type="operand">5</e> <e type="operand">3</e> <e type="function" args="17">mat</e> <e type="operand">4</e> <e type="operator" args="1">-</e> <e type="operand">2</e> <e type="operator" args="1">-</e> <e type="operand">1.9</e> <e type="operator" args="1">-</e> <e type="operand">5.8</e> <e type="operator" args="1">-</e> <e type="operand">1.065</e> <e type="operator" args="1">-</e> <e type="operand">4.129</e> <e type="operator" args="1">-</e> <e type="operand">0.842</e> <e type="operator" args="1">-</e> <e type="operand">3.683</e> <e type="operator" args="1">-</e> <e type="operand">0.823</e> <e type="operator" args="1">-</e> <e type="operand">3.646</e> <e type="operator" args="1">-</e> <e type="operand">5</e> <e type="operand">2</e> <e type="function" args="12">mat</e> <e type="operand">2</e> <e type="operand">1</e> <e type="function" args="4">sys</e> </result> </math> </region> </regions>