Abstract: The iterative rational Krylov algorithm (IRKA) is a commonly used fixed point iteration developed to minimize the $\mathcal {H}_{2}$ model order reduction ...

Fractional differential equations can model various complex problems in physics and engineering, but there is no universal method to solve fractional models precisely. This paper offers a new hope for ...

In 1885, King Oscar II of Sweden announced a public challenge consisting of four mathematical problems. The French polymath Henri Poincaré focused on one related to the motion of celestial bodies, the ...

Abstract: Recently, several studies have proposed methods to utilize some classes of optimization problems in designing deep neural networks to encode constraints that conventional layers cannot ...