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In this paper we discuss algorithmic aspects of the computation of the Jordan canonical form. Inspired by the Golub & Wilkinson paper 9] on the computation of the Jordan canonical form, an O(n 3) algorithm was developed by Beelen & Van Dooren 3] for computing the Kronecker structure of an arbitrary pencil B ? A. Here we show how the ideas of this algorithm… (More)

Transient analysis is an important circuit simulation technique. The circuit model, which is a system of differential-algebraic equations, is solved for a given initial condition using numerical time integration techniques. Multirate methods are efficient if the dynamical behaviour of the circuit model is not uniform. 1 Introduction Analog electrical… (More)

Most analyses of circuit equations start with solving the steady-state (DC) solution. In several cases this can be very hard. We present a novel time domain source stepping procedure to obtain a DC solution of circuit equations. The source stepping procedure is automatically adap-tive. Controlled sources can be elegantly dealt with. The method can easily be… (More)

- R. Mirzavand Boroujeni, J. ter Maten, T. Beelen
- 2011

Robust periodic steady state analysis of autonomous oscillators based on generalized eigenvalues Abstract In this paper, we present a new gauge technique for the Newton Raphson method to solve the periodic steady state (PSS) analysis of free-running oscillators in the time domain. To find the frequency a new equation is added to the system of equations. Our… (More)

During the study week 2011 we worked on the question of how to automate certain aspects of the design of analog chips. Here we focused on the task of connecting different blocks with electrical wiring, which is particularly tedious to do by hand. For digital chips there is a wealth of research available for this, as in this situation the amount blocks makes… (More)

We present a powerful procedure for determining both the dominant dynamics of the input-output transfer and the corresponding most influential circuit parameters of a linear(ized) circuit. The procedure consists of several steps in which a specific (sub)problem is solved and its solution is used in the next step. We combine regression tools techniques and… (More)

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