Show that the (m 1) by (m 1) tridiagonal method matrix A given by -A, y = /
Chapter 12, Problem 16(choose chapter or problem)
Show that the (m 1) by (m 1) tridiagonal method matrix A given by -A, y = / | ory" = / + 1, a ij = ^ I + 2A, j = i, 0, otherwise where A > 0, is positive definite and diagonally dominant and has eigenvalues in \ 2 /u, = I + 4A. I sin , for each i = 1,2,... ,m \ 2m J with corresponding eigenvectors v*'*, where u'" = sin
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