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authorpriyanka2015-06-24 15:03:17 +0530
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+//Example 4.9
+//Givens Method
+//Page no. 104
+clc;close;clear;
+
+A=[3,2,1;2,3,2;1,2,3];
+n=3;
+for k=1:1
+ max1=0
+i1=2;j1=3;
+fi=(atan((2*A(i1,j1))/(A(i1,i1)-A(j1,j1)+10^-20)))/2
+disp(fi,'fi = ')
+O1=eye(n,n)
+O1(i1,j1)=-sin(fi)
+O1(j1,i1)=sin(fi)
+O1(i1,i1)=cos(fi)
+O1(j1,j1)=cos(fi)
+disp(O1,'O1 = ')
+A=inv(O1)*A*O1
+disp(A,'B = ')
+end
+printf('\n\n')
+l=poly(0,'lb')
+A=A-l*eye(n,n)
+disp(-det(A),'Characteristic Equation = ')
+A=roots(det(A))
+printf('\n\n The eigenvalues are : \n\n')
+for i=1:n
+ printf('\tl%i = %g\t',i,A(i))
+end \ No newline at end of file