I will describe some properties of non-Hermitian random matrices and show their connections to non-Hermian Hamiltonians and open quantum systems in a large window of their parameter space. I will also ...

The spectral collocation method (SCM) exhibits a clear superiority in solving ordinary and partial differential equations compared to conventional techniques, such as finite difference and finite ...

If you've ever fallen into a rabbit hole of ASMR videos, you might wonder how the peculiar sensation comes about. Here's what we know. When you purchase through links on our site, we may earn an ...

Abstract: Singular Value Decomposition (SVD) is often used in linear algebra and signal processing. SVD allows to decompose the original matrix into a product of three matrices, two of which are ...

This paper proposes a novel shrinkage estimator for high-dimensional covariance matrices by extending the Oracle Approximating Shrinkage (OAS) of Chen et al. (2009) to target the diagonal elements of ...

The mathmat library specializes NumPy and SciPy to provide a mathematically aware toolbox for working with numerical linear algebra problems. The core idea is to represent a matrix in two parts: the ...