Matrix interpretation of multiple orthogonality

In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector polynomials with matrix coefficients. We present a matrix interpretation of the type II multi-orthogonality conditions.We state a Favard type theorem and the expression for the resolvent function associated to the vector of linear functionals. Finally a reinterpretation of the type II Hermite- Padé approximation in matrix form is given

Service Lifetime Prediction of PV Modules and Systems: Progress of the SOLAR-TRAIN Project

The project SOLAR TRAIN aims to develop novel and validated models for the service life time and energy yield prediction of PV modules and systems. PV modules’ and systems’ performances are being investigated along the entire modeling chain: climatic degradation factors, analysis of degradation and failure modes and evaluation of polymeric materials. This paper presents an overview of the current start of the art and some preliminary results from a work package on development of service lifetime prediction models for PV modules and systems