power method

Turn in the following on one page

1) Draw Gershgorin Circles that contain the eigenvalues of A.

Use “insert” from the menu to locate and draw circles.

2) Based on part (1), what is the spectral radius of A. Print your answer here: _______________

3) With a starting vector xo= [1 1 1 1….1]T, apply the usual power method to estimate max , the dominant-

eigenvalue of matrix A. Use a tolerance of 0.01. Print your answer with 4 decimals: ____________

4) Print the number of iterations required to converge. ____________

5) Use the deflation technique discussed in class to compute the second largest eigenvalue. Tolerance = 0.01

Print the second largest eigenvalue with 4 decimals: _________________

6) Print the number of iterations required to converge. ___________

7) Print your computer program here. As discussed in class, the main body of your program is 3 lines, so your

program should not be long.