Breaking Megrelishvili protocol using matrix diagonalization

Physicians’ Skills in Breaking Bad News to Patients With Cancer Using SPIKES Protocol

Background: Breaking bad news is an unpleasant task for physicians, especially for patients with cancer. In this regard, the SPIKES protocol, which is prevalent in several countries, has not been discussed in Iran. Objectives: This study evaluated how the SPIKES protocol was followed by physicians.  Materials & Methods: This descriptive cross-sectional study was conducted at Guilan academic ...

Random Matrix Diagonalization—Some Numerical Computations

Simultaneous Matrix Diagonalization: the Overcomplete Case

Many algorithms for Independent Component Analysis rely on a simultaneous diagonalization of a set of matrices by means of a nonsingular matrix. In this paper we provide means to determine the matrix when it has more columns than rows.

Notes on basis changes and matrix diagonalization

Let V be an n-dimensional real (or complex) vector space. Vectors that live in V are usually represented by a single column of n real (or complex) numbers. Linear operators act on vectors and are represented by square n×n real (or complex) matrices. If it is not specified, the representations of vectors and matrices described above implicitly assume that the standard basis has been chosen. That...

Sensitivity Analysis for the Problem of Matrix Joint Diagonalization

We investigate the sensitivity of the problem of Non-Orthogonal (matrix) Joint Diagonalization (NOJD). First, we consider the uniqueness conditions for the problem of Exact Joint Diagonalization (EJD), which is closely related to the issue of uniqueness in tensor decompositions. As a by-product, we derive the well-known identifiability conditions for Independent Component Analysis (ICA), based ...