Two bases 1 m and 1 m are biorthogonal if Show that if the matrices and have columns formed from the vectors in and respectively, then T Biorthogonality is a primary component in the iteration...

Two bases


<sub>1

m</sub>

and

<sub>1

m</sub>

are biorthogonal if

Show that if the

matrices

and

have columns formed from the vectors in

and
respectively, then

^T

Biorthogonality is a primary component in the

iteration for general sparse matrices. See Problem 21.34.