Efficient and robust computation of one or more of the operating points of a nonlinear circuit
is a necessary first step in a circuit simulator. The application of globally convergent …

HOMPACK90 is a Fortran 90 version of the Fortran 77 package HOMPACK (Algorithm 652),
a collection of codes for finding zeros or fixed points of nonlinear systems using globally …

Recently, the application of homotopy methods to practical circuit simulation has been
remarkably developed, and bipolar analog integrated circuits with more than 10 000 …

The fact that most of the physical phenomena are modelled by nonlinear differential
equations underlines the importance of having reliable methods for solving them. This work …

This paper introduces multiparameter homotopy methods for finding dc operating points.
The question of whether adding extra real or complex parameters to a single-parameter …

Presents some simple and practical algorithms for tracing implicitly defined solution curves.
These algorithms use hyperspheres instead of hyperplanes that are used in the typical …

Nonlinear differential equations have applications in the modelling area for a broad variety
of phenomena and physical processes; having applications for all areas in science and …

Autonomous and semi-autonomous robots play significant roles in space and terrestrial
exploration, even more in unfavorable and dangerous environments. Although recent …

Homotopy/continuation methods are attractive for finding dc operating points of circuits
because they offer theoretical guarantees of global convergence. Existing homotopy …

This manual describes the use of the Xyce Parallel Electronic Simulator. Xyce has been
designed as a SPICE-compatible, high-performance analog circuit simulator, and has been …