Calculus with matrices

Autoren Gerald Gökler
Josef Haslinger
Titel Calculus with matrices
Typ Technischer Bericht
Nummer SCCH-TR-0141
Ort Hagenberg, Austria
Institution SCCH
Jahr 2001
SCCH ID# 141
Abstract

This article summarizes the results of a project dealing with extending basic operations of calculus to matrices and the implementation of the concepts discussed within the mathematical software system Mathematica. The first part discusses general functions of matrices and applies this concept also to summation and integration of matrix-valued functions. The second part of the article deals with the solution of systems of linear differential equations in matrix form within Mathematica. Several examples show that the implementation extends the capabilities of Mathematica.