Abstract: In recent years, the distributed analytical representation and iterative technique (DARIT) based on the Jacobi iteration method (Jacobi-DARIT-field) and the Gauss-Seidel iteration method ...

Abstract: This study presents a physics-based iterative learning framework for solving forward electromagnetic scattering problems in piecewise homogeneous dielectric regions. Building on integral ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

where M is an nxn-matrix depending on a parameter. This package aims to provide state-of-the-art algorithms to solve this problem, as well as a framework to formulate applications and easy access to ...

Many objective functions do not admit explicit formulas for their proximal operators. Moreover, these operators often cannot be estimated using exact gradients (e.g., when objectives are accessible ...

The given task was to implement the Jacobi method in several versions: a serial CPU function, an un-optimized CUDA kernel, and an optimized version of the CUDA kernel. The Jacobi method was ...

We develop a new high-performance spectral collocation method for the computation of American put and call option prices. The proposed algorithm involves a carefully posed Jacobi-Newton iteration for ...