1. Fill-in the table by describing the characteristics of each iterative method. Briefly note when convergence is guaranteed and its speed relative to the other methods. 2. 3.  Show that A T  is an...

1.

Fill-in the table by describing the characteristics of each iterative method. Briefly note when convergence is guaranteed and its speed relative to the other methods.

2.

3.

 Show that

_A

^T
 is an inner product, where
 is a positive definite matrix.

 If
 is symmetric, there is an orthonormal basis,

_i
 of eigenvectors. Show that any two distinct basis vectors are A-orthogonal.