Using Octave: Difference between revisions

Using Octave (view source)

Revision as of 15:34, 10 December 2024

55 bytes removed , 10 December 2024

→‎Command evaluation

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 Read more [https://www.gnu.org/software/octave/doc/interpreter/Comments.html about comments].
-= Command evaluation =
+% Função e derivada
+f = @(x) 1 - x^3;      % f(x) = 1 - x^3
+f_prime = @(x) -3*x^2; % f'(x) = -3*x^2
-The output of every command is printed to the console unless terminated with
+% Condição inicial e tolerância
-a semicolon <code>;</code>.  The [https://www.gnu.org/software/octave/doc/interpreter/XREFdisp.html disp] command can be used to print output
+x0 = 2;  % ponto inicial
-anywhere.  Use [https://www.gnu.org/software/octave/doc/interpreter/XREFquit.html exit] or [https://www.gnu.org/software/octave/doc/interpreter/XREFquit.html quit] to quit the console.
+tolerancia = 1e-6;  % tolerância
-Read more [https://www.gnu.org/software/octave/doc/interpreter/Simple-Examples.html about command evaluation].
+max_iter = 100;  % máximo de iterações para evitar loop infinito
+iter = 0;  % contador de iterações
+erro = inf;  % inicializando o erro como infinito
-<syntaxhighlight lang="octave">t = 99 + 1  # prints 't = 100'</syntaxhighlight>
+% Método de Newton-Raphson
-<syntaxhighlight lang="text">t =  100</syntaxhighlight>
+while erro > tolerancia && iter < max_iter
+    iter = iter + 1;  % incrementar contador de iteração
+    x1 = x0 - f(x0) / f_prime(x0);  % fórmula de Newton-Raphson
+    erro = abs(x1 - x0);  % erro absoluto entre iterações
+    x0 = x1;  % atualizar x0 para o novo valor
+end
-<syntaxhighlight lang="octave">t = 99 + 1; # nothing is printed
+% Resultado
-disp(t);</syntaxhighlight>
+disp(['Raiz aproximada: ', num2str(x1)]);
-<syntaxhighlight lang="text"> 100</syntaxhighlight>
+disp(['Número de iterações: ', num2str(iter)]);
 = Elementary math =