No. of Pages: 2

AP} ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 2017

Branch: Civil Engineering

Stream: Structural Engineering

OICE6101 Advanced Numerical Methods

Answer any twofull questions from each part

Limit answers to the required points_

Duration: 3 hours

Max. Marks: 60

(i)
(ii)

PARTA
a. Find the relative error if the number X— 0.0006987 is

Truncated to four decimal digits 2
Rounded off to four decimal digits
b. Solve the equations using Gauss Elimination method 7
0420 3r-s=5
2p+3q- 3r-s=1
2P- qt+2r+3s = 6
3p+2q- 4r+3s = 4

a. Write a note on ||| conditioned systems 2
b. Solve the equations by Gauss-Seidel iteration method

20wy-2z=17 7
3x +20y -z= -18
2x-3Y 202 =25

a. Write a note on Jacobi's method to find eigen values. 2

9. Find the largest eigen value and eigen vector of the matrix 7

1 3 -1

3 2 4

-1 4 10