Finding new materials with useful properties is a primary goal for materials scientists, and it's central to improving ...

Whole-mount 3D imaging at the cellular scale is a powerful tool for exploring complex processes during morphogenesis. In organoids, it allows examining tissue architecture, cell types, and morphology ...

Riccati matrix equation (RME), a critical nonlinear matrix equation in autonomous driving and deep learning. However, memory-compute separation in traditional solving systems leads to latency and ...

Abstract Can linear systems be solved faster than matrix multiplication? While there has been remarkable progress for the special cases of graph structured linear systems, in the general setting, the ...

In this paper, a two-dimensional (2D) DOA estimation algorithm of coherent signals with a separated linear acoustic vector-sensor (AVS) array consisting of two sparse AVS arrays is proposed. Firstly, ...

While scalar Riccati equation has been studied thoroughly, matrix Riccati equation of which scalar Riccati equations is a particular case, is much less investigated. This article proposes a change of ...

Moreover, there are several other iterative methods for solving systems of linear equations, and the right method depends on several factors, such as the characteristics of the problem and the ...

Discover an efficient algorithm for solving PDEs involving the Laplacian in 2D. Our method guarantees high precision and efficiency in solving differential equations. Explore the power of the ...