Researchers at the University of California, Los Angeles (UCLA) have developed an optical computing framework that performs ...

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 ...

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 ...

We are interested in sparse solutions of underdetermined systems of nonlinear equations and present an iterative method that updates the current iterate by a sparse vector defined as the solution of a ...

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 ...

Advancements in nonlinear optics using 2D materials are transforming photonic devices, offering enhanced performance and ...