Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...

SIAM Journal on Numerical Analysis, Vol. 43, No. 3 (2006), pp. 1321-1347 (27 pages) This paper develops and investigates iterative tensor methods for solving large-scale systems of nonlinear equations ...

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...