Abstract

IN THIS paper we shall give some iterative methods for the solution of the complete eigenvalue problem of a matrix. These can be easily carried out on electronic computers and the main portion of the work can be done with fixed-point arithmetic without materially reducing the accuracy. The method for solving the complete eigenvalue problem for normal matrices is given in Q 1. It resembles Jacobi’s process in its structure (see [I], 5 Sl). The method of solution in the case of an arbitrary matrix with a simple structure is given in 5 2. It resembles the triangular power method (see [l], 9 78). For simplicity we shall consider real matrices only, although all the methods given can be applied to complex matrices also without particular difficulty.

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