{"id":4221,"date":"2024-11-07T12:02:49","date_gmt":"2024-11-07T08:32:49","guid":{"rendered":"https:\/\/projestaan.com\/mag\/?p=4221"},"modified":"2024-11-07T12:27:02","modified_gmt":"2024-11-07T08:57:02","slug":"solving-multi-unknown-equations-in-matlab","status":"publish","type":"post","link":"https:\/\/projestaan.com\/mag\/solving-multi-unknown-equations-in-matlab\/","title":{"rendered":"\u0631\u0648\u0634 \u0647\u0627\u06cc \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644\u06cc \u062f\u0631 \u0645\u062a\u0644\u0628 + (\u06a9\u062f\u0647\u0627\u060c \u0645\u062b\u0627\u0644 \u0647\u0627)"},"content":{"rendered":"\t\t
\n\t\t\t\t
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\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644\u06cc \u062f\u0631 \u0645\u062a\u0644\u0628<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644 \u0627\u0632 \u0645\u0633\u0627\u0626\u0644 \u0627\u0633\u0627\u0633\u06cc \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0648 \u0645\u0647\u0646\u062f\u0633\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062e\u0637\u06cc \u06cc\u0627 \u063a\u06cc\u0631\u062e\u0637\u06cc \u0628\u0627\u0634\u0646\u062f \u0648 \u0628\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0642\u0627\u0628\u0644 \u062d\u0644 \u0647\u0633\u062a\u0646\u062f. \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062e\u0637\u06cc \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a A*x=b \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 A \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 x \u0648 b \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0628\u0631\u062f\u0627\u0631\u0647\u0627\u06cc \u0645\u062c\u0647\u0648\u0644 \u0648 \u0646\u062a\u0627\u06cc\u062c \u0647\u0633\u062a\u0646\u062f. \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0686\u0646\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f. \u0627\u0646\u062a\u062e\u0627\u0628 \u0631\u0648\u0634 \u0645\u0646\u0627\u0633\u0628 \u0628\u0633\u062a\u06af\u06cc \u0628\u0647 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u062e\u0627\u0635 \u0645\u0633\u0626\u0644\u0647 \u0648 \u0646\u06cc\u0627\u0632\u0645\u0646\u062f\u06cc\u200c\u0647\u0627\u06cc \u0639\u062f\u062f\u06cc \u062f\u0627\u0631\u062f. \u0633\u0627\u062f\u0647\u200c\u062a\u0631\u06cc\u0646 \u0648 \u0633\u0631\u06cc\u0639\u200c\u062a\u0631\u06cc\u0646 \u0631\u0648\u0634\u060c \u0631\u0648\u0634 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0639\u0645\u0644\u06af\u0631 \u00ab\\\u00bb \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646 \u062f\u0631 \u062d\u0644 \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u062e\u0637\u06cc \u0628\u0632\u0631\u06af \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 linsolve \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062a\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0645\u0631\u0628\u0639\u06cc \u0648 \u0645\u0639\u06a9\u0648\u0633\u200c\u067e\u0630\u06cc\u0631 \u0646\u06cc\u0632 \u0631\u0648\u0634 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632inv \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0645\u0639\u06a9\u0648\u0633 \u0645\u0648\u062b\u0631 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0637\u0648\u0631 \u0639\u062f\u062f\u06cc \u0646\u0627\u067e\u0627\u06cc\u062f\u0627\u0631 \u0628\u0627\u0634\u062f \u0648 \u0628\u0631\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u0645\u0646\u0627\u0633\u0628 \u0646\u06cc\u0633\u062a.
\u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u06a9\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a f(x)=0 \u0647\u0633\u062a\u0646\u062f \u0648 \u062f\u0631 \u0622\u0646 f \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u063a\u06cc\u0631\u062e\u0637\u06cc \u0627\u0632 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0645\u062c\u0647\u0648\u0644 \u0627\u0633\u062a \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 fsolve \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u0631\u0627 \u062d\u0644 \u06a9\u0631\u062f. \u0647\u0645\u0686\u0646\u06cc\u0646 \u062a\u0627\u0628\u0639fminsearch \u0628\u0631\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0648 \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062a\u0627\u0628\u0639 fsolve \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u0631\u0648\u0634 \u0645\u0633\u062a\u0642\u06cc\u0645\u06cc \u0627\u0633\u062a\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 fminsearch \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0637\u0648\u0631 \u063a\u06cc\u0631\u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0647 \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0645\u0634\u0627\u0628\u0647 \u0628\u067e\u0631\u062f\u0627\u0632\u062f.<\/p>

\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u0632 \u067e\u0631\u0648\u0698\u0633\u062a\u0627\u0646 \u0631\u0648\u0634 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644\u06cc \u062f\u0631 \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641 \u062e\u0637\u06cc \u0648 \u063a\u06cc\u0631\u062e\u0637\u06cc \u0631\u0627 \u0628\u0627 \u0630\u06a9\u0631 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u060c \u06a9\u062f \u0648 \u062e\u0631\u0648\u062c\u06cc \u0647\u0627\u06cc \u0647\u0631 \u06a9\u062f \u0622\u0645\u0648\u0632\u0634 \u062f\u0627\u062f\u0647 \u0627\u06cc\u0645. \u0634\u0645\u0627 \u067e\u0633 \u0627\u0632 \u0645\u0637\u0627\u0644\u0639\u0647 \u0627\u06cc\u0646 \u0645\u062d\u062a\u0648\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u06a9\u062f\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u067e\u0631\u0648\u0698\u0647 \u0647\u0627\u06cc \u062e\u0648\u062f \u0628\u0647\u0631\u0647 \u0628\u0628\u0631\u06cc\u062f. \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u0628\u062e\u0648\u0627\u0647\u06cc\u062f \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0646\u062c\u0627\u0645 \u067e\u0631\u0648\u0698\u0647 \u0645\u062a\u0644\u0628<\/a> \u062e\u0648\u062f \u0631\u0627 \u0628\u0647 \u062a\u06cc\u0645 \u067e\u0631\u0648\u0698\u0633\u062a\u0627\u0646 \u0628\u0631\u0648\u0646 \u0633\u067e\u0627\u0631\u06cc \u06a9\u0646\u06cc\u062f.<\/p>

\u0645\u0642\u0627\u06cc\u0633\u0647 \u0631\u0648\u0634 \u0647\u0627 \u0645\u0637\u0627\u0628\u0642 \u062c\u062f\u0648\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062e\u0637\u06cc<\/p><\/td><\/tr>

– \u0639\u0645\u0644\u06af\u0631 \u00ab\\\u00bb: \u0633\u0631\u06cc\u0639 \u0648 \u062f\u0642\u062a \u0628\u0627\u0644\u0627.<\/p>

– linsolve: \u0628\u0647\u06cc\u0646\u0647 \u0628\u0631\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0628\u0632\u0631\u06af.<\/p>

– inv: \u0641\u0642\u0637 \u0628\u0631\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u06a9\u0648\u0686\u06a9 \u0648 \u0645\u0639\u06a9\u0648\u0633\u200c\u067e\u0630\u06cc\u0631 \u062a\u0648\u0635\u06cc\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/p><\/td><\/tr>

\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc<\/p><\/td><\/tr>

– fsolve: \u0645\u0646\u0627\u0633\u0628 \u0628\u0631\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u063a\u06cc\u0631\u062e\u0637\u06cc \u0628\u0627 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648\u0627\u0636\u062d.<\/p>

– fminsearch: \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u0628\u0631\u0627\u06cc \u0645\u0633\u0627\u0626\u0644 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0648 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647.<\/p><\/td><\/tr><\/tbody><\/table>

\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

1- \u0631\u0648\u0634\u0647\u0627\u06cc \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062e\u0637\u06cc<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u06441- \u0631\u0648\u0634 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0639\u0645\u0644\u06af\u0631 \u00ab\\\u00bb<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all;
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633 a \u0648 \u0628\u0631\u062f\u0627\u0631 b
a = [2, 1; 1, 3];
b = [1; 2];
% \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647
x = a \\ b;
disp(\u2018solution:\u2019);
disp(x);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0solution:
\u00a00.2000
\u00a00.6000<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u06442- \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 linsolve \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u062d\u0644 \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u062e\u0637\u06cc \u0628\u0632\u0631\u06af.<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all;
% \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 linsolve
x = linsolve(a, b);
disp(\u2018solution:\u2019);
disp(x);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0solution:
\u00a00.2000
\u00a00.6000<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u06443- \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 inv \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0645\u0639\u06a9\u0648\u0633<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all;
% \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u06a9\u0648\u0633 \u0645\u0627\u062a\u0631\u06cc\u0633
x = inv(a) * b;
disp(\u2018solution:\u2019);
disp(x);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0solution:
\u00a00.2000
\u00a00.6000<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a02. \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644\u06cc<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 4- \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 fsolve \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all;
% \u062a\u0639\u0631\u06cc\u0641 \u062a\u0627\u0628\u0639
fun = @(x) [x(1)^2 + x(2)^2 \u2013 4; x(1) \u2013 x(2)];
% \u0645\u0642\u062f\u0627\u0631 \u0627\u0648\u0644\u06cc\u0647
x0 = [0; 0];
% \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647
x = fsolve(fun, x0);
disp(\u2018solution:\u2019);
disp(x);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0solution:
\u00a00
\u00a00<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 5- \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 fminsearch \u0628\u0631\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0648 \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc.<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all;
% \u062a\u0639\u0631\u06cc\u0641 \u062a\u0627\u0628\u0639 \u0647\u0632\u06cc\u0646\u0647
fun = @(x) norm([x(1)^2 + x(2)^2 \u2013 4; x(1) \u2013 x(2)]);
% \u0645\u0642\u062f\u0627\u0631 \u0627\u0648\u0644\u06cc\u0647
x0 = [0; 0];
% \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc
x = fminsearch(fun, x0);
disp(\u2018solution:\u2019);
disp(x);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0solution:\u00a0 \u00a01.4 1 4 2\u00a0 \u00a0 \u00a0 1.4 1 4 2<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 6- \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u062a\u0627\u0628\u0639 \u063a\u06cc\u0631\u062e\u0637\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0639\u062f\u062f\u06cc.<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all;
% \u062a\u0627\u0628\u0639 \u0647\u062f\u0641
objfun = @(x) (x(1) \u2013 1)^2 + (x(2) \u2013 2)^2;
% \u0645\u0642\u062f\u0627\u0631 \u0627\u0648\u0644\u06cc\u0647
x0 = [0, 0];
% \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc
[x, fval] = fminunc(objfun, x0);
disp(‘optimal solution using fminunc: ‘);
disp(x);
disp(‘objective function value: ‘);
disp(fval);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0 optimal solution using fminunc:
\u00a0 1.0000\u00a0 \u00a0 2.0000
\u00a0 objective function value:
\u00a0 4.4409e-16<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644\u06cc \u062f\u0631 \u0645\u062a\u0644\u0628 \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644 \u0627\u0632 \u0645\u0633\u0627\u0626\u0644 \u0627\u0633\u0627\u0633\u06cc \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0648 \u0645\u0647\u0646\u062f\u0633\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062e\u0637\u06cc \u06cc\u0627 \u063a\u06cc\u0631\u062e\u0637\u06cc \u0628\u0627\u0634\u0646\u062f \u0648 \u0628\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0642\u0627\u0628\u0644 \u062d\u0644 \u0647\u0633\u062a\u0646\u062f. \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062e\u0637\u06cc \u0686\u0646\u062f \u0645\u062c\u0647\u0648\u0644\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a A*x=b \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 A \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 x \u0648 b \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0628\u0631\u062f\u0627\u0631\u0647\u0627\u06cc \u0645\u062c\u0647\u0648\u0644 \u0648 […]<\/p>\n","protected":false},"author":5,"featured_media":4239,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rank_math_lock_modified_date":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4221","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matlab-training"],"views":1012,"_links":{"self":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts\/4221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/comments?post=4221"}],"version-history":[{"count":22,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts\/4221\/revisions"}],"predecessor-version":[{"id":4296,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts\/4221\/revisions\/4296"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/media\/4239"}],"wp:attachment":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/media?parent=4221"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/categories?post=4221"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/tags?post=4221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}