A new approach to hull consistency

Hull consistency is a known technique to improve the efficiency of iterative interval methods for solving nonlinear systems describing steady-states in various circuits. Presently, hull consistency is checked in a scalar manner, i.e. successively for each equation of the nonlinear system with respect to a single variable. In the present poster, a new more general approach to implementing hull consistency is suggested which consists in treating simultaneously several equations with respect to the same number of variables

A new approach to hull consistency

Hull consistency is a known technique to improve the efficiency of iterative interval methods for solving nonlinear systems describing steady-states in various circuits. Presently, hull consistency is checked in a scalar manner, i.e. successively for each equation of the nonlinear system with respect to a single variable. In the present poster, a new more general approach to implementing hull consistency is suggested which consists in treating simultaneously several equations with respect to the same number of variables

Global solution of a class of interval parameter optimization problems

A class of parametric optimization problems is considered which arises in the analysis of linear electric circuits whose parameters are uncertain and given as intervals. This class involves such problems as tolerance analysis, stability analysis and power consumption analysis. A unified method for globally solving the resulting interval parameter optimization problems is suggested. It is based on the use of so-called modified monotonicity conditions