Each transformation operation has a matrix form and you can combine operations into a single matrix. In your example above, the translation is (0, 0)... no translation of the points will happen ...

In this paper a new algorithm for reducing an arbitrary real square matrix to tri-diagonal form using real similarity transformations is described. The method is essentially a generalization of a ...

A class of methods for the computation of the maximal real eigenvalue and its associated eigenvector of a nonnegative irreducible matrix A is presented and the convergence of the methods is proved.