
List of Figures
1.1 Typical two-dimensional storage of a banded matrix . . . . 16
2.1 A Gram-Schmidt process transforming {u
1
, u
2
} into {v
1
, v
2
} 32
5.1 Approximating eigenvalues by Ritz values . . . . . . . . . . 129
5.2 The graph of a set of 8 web pages . . . . . . . . . . . . . . . 142
5.3 A graph for a network of 8 web pages . . . . . . . . . . . . . 146
5.4 A graph for a network of 6 web pages . . . . . . . . . . . . . 146
7.1 Non-zero fill: profiles of an spd matrix (left) and Cholesky’s
factor (right) . . . . . . . . . . . . . . . . . . . . . . . . . . 194
7.2 Layout for one-dimensional finite-element . . . . . . . . . . 205
7.3 One-dimensional elements ...