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

Function approximation, a central theme in numerical analysis and applied mathematics, seeks to represent complex functions through simpler or more computationally tractable forms. In this context, ...

UCLA researchers demonstrate diffractive optical processors as universal nonlinear function approximators using linear ...

Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

Can light perform millions of calculations at once without extra materials? A new optical system shows how this can be done.

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

The purpose of this note is to establish a natural connection between the minimizers of two closely related variational problems. We prove global and local convergence results for the p-harmonic ...

Mathematics of Computation, Vol. 84, No. 294 (JULY 2015), pp. 1835-1860 (26 pages) The Padé approximation has a long and rich history of theory and application and is known to produce excellent local ...

Researchers have developed new mathematical techniques to advance the study of molecules at the quantum level. Mathematical and algorithmic developments along these lines are necessary for enabling ...