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SUMMARYAnalogue and microwave design requires accurate and reliable simulation tools and methods to meet the design specifications. System properties are often measured in the steady state. Well-suited algorithms for calculating the steady state can be classified into shooting methods, finite difference methods and the harmonic balance (HB) technique. Harmonic balance is a frequency domain method which approaches the problem of finding the steady state by a trigonometric polynomial. Depending on the size of the circuit and the number of Fourier coefficients of the polynomial, the resulting system o f non-linear equations can become very large. These non-linear equations are solved by using Newton's method.The sparse linear system arising from Newton's method can be solved by direct, stationary or non-stationary iterative solvers. Iterative methods are normally easy to parallelize or vectorize.In this paper a tool for the simulation of the steady state of electronic circuits is presented. The steady state is calculated using the harmonic balance technique. Non-linear equations are solved by Newton's method and linear equations by preconditioned non-stationary iterative solvers (CGS, Bi-CGSTAB, BiCGSTAB(2), TFQMR). The run time is reduced dramatically, by up to an order of magnitude.

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