Inward matrix products, generalised density functions and Rayleigh- Schrodinger perturbation theory

Abstract:

A matrix product, the inward product, of two matrices is defined as an operation of internal composition involving two (m x n)-dimensional matrices and yielding another matrix of the same dimension. Such a product, known as Hadamard or Schur product in literature, presents typical properties and corresponds to a usual matrix product, within the isomorphic set of (mn)dimensional diagonal matrices. It can be directly used to construct generalised density functions. A useful application to Rayleigh-Schrodinger perturbation theory is also discussed. (C) 2000 Elsevier Science B.V.

Año de publicación:

2000

Keywords:

• Inward matrix product
• Density functions
• Rayleigh-Schrodinger perturbation theory

Fuente:

scopus