Usually one avoids numerical algorithms involving operations with large, fully populated
matrices. Instead one tries to reduce all algorithms to matrix-vector multiplications involving …

We resume the recent successes of the grid-based tensor numerical methods and discuss
their prospects in real-space electronic structure calculations. These methods, based on the …

This letter shows 50 percent memory saving for a Hierarchal Matrix (H-matrix) by converting
a regular H-matrix to symmetric H-matrix for large and complex electrodynamic problems …

The numerical solution of eigenvalue problems is essential in various application areas of
scientific and engineering domains. In many problem classes, the practical interest is only a …

Cholesky decomposition is a well-known decomposition for positive definite matrix. On
account of its significantly fundamental roles in linear algebra and matrix theory, there are a …

It is well known that matrices with low Hessenberg-structured displacement rank enjoy fast
algorithms for certain matrix factorizations. We show how $ n\times n $ principal finite …

In order to obtain the spiral bevel gear wheel natural frequencies and mode shapes in the
unconstrained state for the purpose of dynamic characteristics study, the spiral bevel gear …

Resumen (English summary below) Las H-Matrices nacen como una potente herramienta
numérica para abordar aplicaciones cuyos datos generan estructuras que se sitúan entre …

We resume the recent successes of the grid-based tensor numerical methods and discuss
their prospects in real-space electronic structure calculations. These methods, based on the …

Abstract The Hartree-Fock eigenvalue problem governed by the 3D integro-differential
operator is the basic model in ab initio electronic structure calculations. Several years ago …