Abstract: This paper proposes a new approach to accelerate spectral norm estimation for a kernel matrix of n data points. Our key intuition is that, by applying the seminal random feature technique, ...

I want to calculate virtual-virtual or occupied-occupied density matrix after MP2 calculation, how to get 2e-intergals with different orbital indices and fock-matrix? The formula of virtual-virtual ...

Rank is an essential concept in linear algebra that represents the number of linearly independent rows or columns of a matrix. It plays a crucial role in solving linear equations, determining the null ...

Matrix inversion is a fundamental operation in linear algebra that allows you to solve linear equations and perform various transformations. In this article, we will explore the process of calculating ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. The dynamics of physical systems that require high-dimensional representation can ...

The interactions between soil microorganisms and soil minerals play a crucial role in the formation and evolution of minerals and the stability of soil aggregates. Due to the heterogeneity and ...

ABSTRACT: Let us define A=Hr=(aij)to be n×nr-Hankel matrix. The entries of matrix A are Fn=Fi+j-2or Ln=Fi+j-2where Fnand Lndenote the usual Fibonacci and Lucas numbers, respectively. Then, we obtained ...

ABSTRACT: Let us define A=Hr=(aij)to be n×nr-Hankel matrix. The entries of matrix A are Fn=Fi+j-2or Ln=Fi+j-2where Fnand Lndenote the usual Fibonacci and Lucas numbers, respectively. Then, we obtained ...