ROW PARTITIONED OPERATORS

A related problem arises with partitioned operators. Fitting observed data to theoretical data where there are two classes of model parameters $\bold m_1$ and $\bold m_2$ we seek to minimize the norm of the residual $\bold r$ defined by  

$$\bold 0 \quad\approx\quad \bold r \quad=\quad \left[ \bold ... ... {l} \bold m_1 \\ \bold m_2 \end{array}\right] \ - \ \bold d$$ (11)

The problem of interest arises when we seek the best diagonal scaling matrices before and after $\bold A$and $\bold B$.