Numerical Methods

This section is not so much devoted to operations of high numerical sophistication and complexity, but rather collects all routines that compute something out of several elements of one or several matrices.

We start with some easy routines that are available for (almost) all classes. Thereby we will use A,B to denote matrices, e will denote the column vector of all ones, e' its transpose, all of appropriate size. Some of the methods are also available as methods without arguments, some only as friends.

In addition to these simple routines, the appropriate classes will offer some more sophisticated routines as well (unfortunately only few and most certainly improvable), e.g.,

For the computation of a few extremal eigenvalues for large scale structured symmetric matrices some separate tools (see page Lanczos Interface and Classes) are available.