Linear Algebra

Abstract

By the introduction of finite differences a function f(x) depending on a single variable is converted into a table of function values. Such a table may be interpreted as a vector f ≡ (f _k ; k = 1,..., M). Similarly, a function of two variables may be tabulated in the format of a matrix:

$$F \equiv [{f_{i,j}}] \equiv [f({x_i},{y_j});i = 1,...M;j = 1,...N].$$

(2.1)