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

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 ...

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 ...

Department of Mathematics, Faculty of Science, Hadhramout University, Hadhranout, Yemen. The main aim of this paper is to consider a new generalization of the Hermite matrix polynomials and to derive ...

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 ...

Abstract: We investigate the matrix function optimization under the orthonormal constraint on the matrix variable. By introducing an index-notation-arrangement-based chain rule (I-Chain rule), we ...

This second programming assignment will require you to write an R function that is able to cache potentially time-consuming computations. For example, taking the mean of a numeric vector is typically ...

Bankura Christian College, Bankura, India. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India. The paper is organized as follows: In ...