Abstract: A system for analyzing a model of an electronic circuit, which includes at least one non-linear circuit element, includes a computer. The computer replaces the non-linear circuit element with a linearized circuit model that approximates a behavior of the non-linear circuit element. The computer also inserts into an element matrix a calculated value that corresponds to the linearized circuit model for a prescribed or desired time step. The computer further performs a numerical operation on the element matrix to effectively invert the element matrix.