Miscellaneous Topics

Abstract

In this chapter we mention further techniques which are of interest for tensor calculations. The first two sections consider optimisation problems. Section 17.1 describes iterative minimisation methods on a theoretical level of topological tensor spaces assuming exact tensor arithmetic. On the other hand, Sect. 17.2 applies optimisation directly to the parameters of the tensor representation. Section 17.3 is devoted to ordinary differential equations for tensor-valued functions. Here, the tangent space and the Dirac-Frenkel discretisation are explained. Finally, Sect. 17.4 recalls the ANOVA decomposition (‘analysis of variance’).