Calculus with matrices
|Titel||Calculus with matrices|
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.