ABSTRACT: Variational methods are highly valuable computational tools for solving high-dimensional quantum systems. In this paper, we explore the effectiveness of three variational methods: density ...

As we've journeyed together through the realms of linear algebra, we've uncovered the powers of matrices in transforming shapes and spaces, akin to casting spells that reshape our perception of the ...

IRBLEIGS will find a few eigenvalues and eigenvectors for either the standard eigenvalue problem Ax = lambdax or the generalized eigenvalue problem Ax = lambdaM*x, where A is a sparse Hermitian matrix ...

Abstract: The problem of estimating the eigenvalues and eigenvectors of the covariance matrix associated with a multivariate stochastic process is considered. The focus is on finite sample size ...

We develop a novel approach to identify regions of the genome underlying population genetic differentiation in any genetic data where the underlying population structure is unknown, or where the ...

An illustration of a magnifying glass. An illustration of a magnifying glass.