Abstract: The so called “augmented” statistics of complex random variables has established that both the covariance and pseudocovariance are necessary to fully describe second order properties of ...

Abstract: Joint diagonalization of several correlation matrices is a powerful tool for blind signal separation. The paper addresses the blind signal separation problem for the case where the source ...

The problem of joint approximate diagonalization of symmetric real matrices is addressed. It is reduced to an optimization problem with the restriction that the matrix of the similarity transformation ...

Department of Cyber-Physical Systems, Clark Atlanta University, Atlanta, GA, USA. where P is some reflection (symmetric signed permutation) matrix. Like U, the generalized reflexive matrices A arise ...

Jacobi-type iterative algorithms for the eigenvalue decomposition, singular value decomposition, and Takagi factorization of complex matrices are presented. They are implemented as compact Fortran 77 ...

ABSTRACT: A modal identification algorithm is developed, combining techniques from Second Order Blind Source Separation (SOBSS) and State Space Realization (SSR) theory. In this hybrid algorithm, a ...

The method given in paper I is applied and the problem of the equivalence of the Fermi and Yukawa theories is considered under the point of view of physical operators.

When taking the matrix exponential of an Hermitean matrix M (for example to compute the time evolution operator from the Hamiltonian of a closed system) it is sometimes faster to first diagonalize the ...

kitaev_clusters is a Python package designed for efficient Exact Diagonalization of the spin-1 Kitaev honeycomb model on finite-size clusters. This package contains a variety of functions which ...