ABSTRACT

This chapter gives several specific examples of how to set up an iterative method for handling problems. It looks at the problem of finding the roots of a cubic equation with real coefficients. Many of the simple quantum mechanical problems which can be handled on a microcomputer can be treated so that they do not need explicit matrix computations. Even when a matrix diagonalisation is needed it is often possible to use matrices of such a simple form that the eigenvalues can be found without full matrix manipulations. The chapter describes version of an amusing but useful method which has been used on large computers but will also work on small ones if they can handle arrays.