The talk will present a reliable Krylov-subspace method for estimating the spectral condition number of a matrix A. The main difficulty in estimating the condition number is the estimation of the smallest singular value  min of A. Our method estimates this value by solving a consistent least-squares minimization problem with a known minimizer using a specific Krylov-subspace method called LSQR...

data envelopment analysis provides a theoretical framework for analyzing performance and measuring efficiency. using data envelopment analysis, we can evaluate units and organizations and discuss about their efficiency or inefficiency. in performance assessment of organizations, the most important goal is to rank the units according to their efficiency. since ranking decision making units in da...

Abstract—The importance of energy efficiency within the production processes increases steadily. For a comprehensive assessment of energy efficiency within the production process, unfortunately no tools exist or have been developed yet. Therefore the Institute for Factory Automation and Production Systems at the Friedrich-Alexander-University Erlangen-Nuremberg has developed two methods with th...