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 ...

A matrix is a collection of numbers arranged into a fixed number of rows and columns. Usually the numbers are real numbers, but that doesn't always have to be the case. The following image shows in ...

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

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 ...

returns a matrix containing the terms of considered as a matrix of rational functions in B that have been expanded as power series is a scalar containing the value of m above. The default value is 1.

Introduction Matrix operations play a crucial role in scientific computing, machine learning, and big data analytics. While C++ is known for its performance and object-oriented capabilities, handling ...