Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

This article is dedicated to the calculation of matrix functions. Before defining what they are, let's briefly explain what they are not. Suppose we have a sufficiently regular function f and a square ...

Most traditional high-performance computing applications focus on computations on very large matrices. Think seismic analysis, weather prediction, structural analysis. But today, with advances in deep ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

Released under the MIT license, see LICENSE file for details. Copyright (C) 2023 Aravindh Krishnamoorthy and contributors. Note: This package is still under ...

SAS/IML software has many built-in functions that generate useful matrices. For example, the J function creates a matrix with a given dimension and element value when you supply the number of rows and ...

Matrix Padé approximation is a widely used method for computing matrix functions. In this paper, we apply matrix Padé-type approximation instead of typical Padé approximation to computing the matrix ...

This is a preview. Log in through your library . Abstract Let f be a positive real-valued function defined on an interval I ⊆ R. The function f is said to be log-convex if logf is convex on I. In this ...

ABSTRACT: In this paper we introduce Humbert matrix polynomials of two variables. Some hypergeometric matrix representations of the Humbert matrix polynomials of two variables, the double generating ...