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 ...

For nonlinear equation systems, the properties of the MLE commonly have been deduced from related but inapplicable results in the statistical and econometric literature. Under specific regularity ...

Imagine standing on top of a mountain. From this vantage point, we can see picturesque valleys and majestic ridges below, and streams wind their way downhill. If a drop of rain falls somewhere on this ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

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 ...