GLT¶
Where do the GLTs come from?¶
The main aim of this paragraph is to present a crucial example that highlights the importance of the GLT algebra when dealing with linear systems coming from the discretization of PDEs. Let us start with some preliminaries. In detail, we will recall the notion of symbol of a matrix-sequence and the basic idea behind the GLT theory.
Spectral preliminaries¶
The following one is a rather informal definition of symbol of a matrix-sequence.
example:
When , , , means
References