Show that the (m 1) by (m 1) tridiagonal method matrix A given by aij = , j = i 1 or j =
Chapter 12, Problem 14(choose chapter or problem)
Show that the (m 1) by (m 1) tridiagonal method matrix A given by aij = , j = i 1 or j = i + 1, 1 + 2, j = i, 0, otherwise, where > 0, is positive definite and diagonally dominant and has eigenvalues i = 1 + 4 sin i 2m 2 , for each i = 1, 2, ... , m 1, with corresponding eigenvectors v(i) , where v(i) j = sin(ij/m). 1
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer