If $A = (a_{ij})$ is an $n \times n$ irreducible matrix, then there are positive numbers $d_1, d_2, \cdots, d_n$ so that $\sum_k d_ia_{ik}d^{-1}_k = \sum_k d_ka_{ki}d ...

The importance of similarity transformations and their applications to partial differential equations is discussed. The theory has been presented in a simple manner so that it would be beneficial at ...