@article{Harrach2013, author = {Harrach, Bastian}, title = {Recent Progress on the Factorization Method for Electrical Impedance Tomography}, series = {Computational and Mathematical Methods in Medicine}, journal = {Computational and Mathematical Methods in Medicine}, doi = {10.1155/2013/425184}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-96229}, year = {2013}, abstract = {The Factorization Method is a noniterative method to detect the shape and position of conductivity anomalies inside an object. The method was introduced by Kirsch for inverse scattering problems and extended to electrical impedance tomography (EIT) by Br{\"u}hl and Hanke. Since these pioneering works, substantial progress has been made on the theoretical foundations of the method. The necessary assumptions have been weakened, and the proofs have been considerably simplified. In this work, we aim to summarize this progress and present a state-of-the-art formulation of the Factorization Method for EIT with continuous data. In particular, we formulate the method for general piecewise analytic conductivities and give short and self-contained proofs.}, language = {en} } @article{FerranteWimmer2010, author = {Ferrante, Augusto and Wimmer, Harald K.}, title = {Reachability matrices and cyclic matrices}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-68074}, year = {2010}, abstract = {We study reachability matrices R(A, b) = [b,Ab, . . . ,An-1b], where A is an n × n matrix over a field K and b is in Kn. We characterize those matrices that are reachability matrices for some pair (A, b). In the case of a cyclic matrix A and an n-vector of indeterminates x, we derive a factorization of the polynomial det(R(A, x)).}, subject = {Mathematik}, language = {en} } @article{BallesterBolinchesBeidlemanHeinekenetal.2010, author = {Ballester-Bolinches, A. and Beidleman, J. C. and Heineken, H. and Pedraza-Aguilera, M. C.}, title = {Local Classes and Pairwise Mutually Permutable Products of Finite Groups}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-68062}, year = {2010}, abstract = {The main aim of the paper is to present some results about products of pairwise mutually permutable subgroups and local classes.}, subject = {Mathematik}, language = {en} }