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 ...

Abstract: Matrix diagonalization (or termed, matrix eigen-decomposition) is a vital part of matrix theory. Different from static matrix diagonalization problem, in this paper, the more challenging ...

Abstract: In this communication, we consider the problem of the joint- diagonalization of square complex tensors through a least- squares approach. In particular, this allows us to show that recent ...

Diagonalisation of a matrix is the process of reduction of a matrix to diagonal form. The process of reduction of a matrix to diagonal form is as follows: A square matrix of order n with n linearly ...

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 ...