Anul 3 Semestrul 2

2025-07-03 20:56:38 +03:00
parent 184f3bd92e
commit 3b7fb85767
269 changed files with 20955 additions and 0 deletions
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+n=7;
+
+A=5*eye(n) -diag(ones(1,n-1),1)- diag(ones(1,n-1),-1);
+
+b = [4,3* ones(1,n-2),4]';
+
+
+x0 = zeros(size(b));
+
+[x, nit] = jacobi(A,b, x0,10^(-5), 1000);
+
+[x, nit] = gaussseidel(A,b, x0,10^(-5), 1000);
+
+A = [10 7 8 7; 7 5 6 5; 8 6 10 9; 7 5 9 10];
+b=[32;23;33;31];
+
+x = A^-1*b
+trueB = b;
+trueX = x;
+trueA = A;
+
+A = [10 7 8 7; 7 5 6 5; 8 6 10 9; 7 5 9 10];
+
+
+
+b=[32.1;22.9;33.1;30.9];
+
+x = A^-1*b
+norm(trueX-x,inf)/norm(trueX,inf)
+norm(trueB-b,inf)/norm(trueB,inf)
+cond(A)
+
+A = [10 7 8.1 7.2; 7.8 5.04 6 5; 8 5.98 9.89 9; 6.99 4.99 9 9.98];
+b=[32;23;33;31];
+x = A^-1*b
+
+cond(A)
+
+norm(trueX-x,inf)/norm(trueX,inf)
+norm(trueA-A,inf)/norm(trueA,inf)
+
+