JSTOR Daily

On Perturbations of Matrix Pencils with Real Spectra, a Revisit

This is a preview. Log in through your library . Abstract This paper continues earlier studies by Bhatia and Li on eigenvalue perturbation theory for diagonalizable matrix pencils having real spectra.
JSTOR Daily

Explicit solutions of the Yang-Baxter-like matrix equation for diagonalizable coefficient matrix with two distinct nonzero eigenvalues

Let A be a complex diagonalizable matrix with two distinct nonzero eigenvalues λ and μ, the Yang-Baxter-like matrix equation AXA = XAX is reconsidered. We correct and improve the results in Shen et al ...
IEEE

Fast Multichannel Nonnegative Matrix Factorization With Directivity-Aware Jointly-Diagonalizable Spatial Covariance Matrices for Blind Source Separation

Abstract: This article describes a computationally-efficient blind source separation (BSS) method based on the independence, low-rankness, and directivity of the sources. A typical approach to BSS is ...
IEEE

A discrete fractional Hankel transform based on the eigen decomposition of a symmetric kernel matrix of the discrete Hankel transform

Abstract: Recently a discrete Hankel transform (DHT) has been introduced using a symmetric involutory kernel matrix T. Although Namias contributed the fractional Hankel transform (FRHT) in 1980, no ...
INSPIRE

Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. II. Rigorous results

We continue our investigation of the non-linear SUSY for complex potentials started in part I [A.A. Andrianov, F. Cannata, A.V. Sokolov, math-ph/0610024 ] and prove the theorems characterizing its ...