An Efficient Iterative Method for the Computer Solution of Large Sets of Simultaneous Linear Equations Applied to Antenna Modelling

摘要

Very large sets of simultaneous linear equations can usually be solved to reasonable accuracy more quickly by an iterative method than by a direct one, but most iterative methods only converge if the elements of the principal diagonal of the coefficient matrix dominate all the other elements. This paper describes an iterative method which depends for its convergence only on domainance by the elements of an arbitrarily wide band of diagonals centred on the principal diagonal. The theory of the method is fully worked out, and a computer program implementing it in Fortran IV is presented. (Author)