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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1670/CH3/EX3.15 | |
| download | Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.gz Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.bz2 Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.zip | |
initial commit / add all books
Diffstat (limited to '1670/CH3/EX3.15')
| -rwxr-xr-x | 1670/CH3/EX3.15/3_15.sce | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/1670/CH3/EX3.15/3_15.sce b/1670/CH3/EX3.15/3_15.sce new file mode 100755 index 000000000..8a2e3aaea --- /dev/null +++ b/1670/CH3/EX3.15/3_15.sce @@ -0,0 +1,52 @@ +//Example 3.15
+//Crout Method
+//Page no. 69
+clc;clear;close;
+
+A=[1,2,-12,8,27;5,4,7,-2,4;-3,7,9,5,11;6,-12,-8,3,49]
+for i=1:4
+ for j=1:5
+ if j==1 then
+ M(i,j)=A(i,j)
+ elseif i==1
+ M(i,j)=A(i,j)/A(1,1)
+ elseif j==2
+ M(i,j)=A(i,j)-M(1,j)*M(i,j-1)
+ elseif i==2
+ M(i,j)=(A(i,j)-M(i,1)*M(i-1,j))/M(i,2)
+ elseif j==3
+ M(i,j)=A(i,j)-(M(i,j-2)*M(1,j)+M(i,j-1)*M(2,j))
+ elseif i==3
+ M(i,j)=(A(i,j)-(M(i,1)*M(i-2,j)+M(i,2)*M(i-1,j)))/M(i,3)
+ elseif j==4
+ M(i,j)=A(i,j)-(M(i,j-2)*M(i-2,j)+M(i,j-1)*M(i-1,j)+M(i,j-3)*M(i-3,j))
+ else
+ M(i,j)=(A(i,j)-(M(i,j-2)*M(i-1,j)+M(i,j-3)*M(i-2,j)+M(i,j-4)*M(i-3,j)))/M(i,j-1)
+ end
+ end
+end
+disp(M,'M = ')
+for i=1:4
+ for j=1:5
+ if j~=5 then
+ U1(i,j)=M(i,j)
+ else
+ Y(i,1)=M(i,j)
+ end
+ end
+end
+U=eye(4,4)
+for i=1:4
+ for j=1:4
+ if j>i then
+ U(i,j)=U1(i,j)
+ end
+ end
+end
+disp(U,'U = ')
+disp(Y,'Y = ')
+X=inv(U)*Y
+printf('\n\nHence, the solution is : \t')
+for i=1:4
+ printf('x%i = %i \t',i,X(i))
+end
\ No newline at end of file |