TY  - JOUR
A1  - Harrach, Bastian
T1  - Recent Progress on the Factorization Method for Electrical Impedance Tomography
JF  - Computational and Mathematical Methods in Medicine
N2  - 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 Brühl 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.
KW  - Mathematik
Y1  - 2013
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-96229
ER  - 
TY  - JOUR
A1  - Ferrante, Augusto
A1  - Wimmer, Harald K.
T1  - Reachability matrices and cyclic matrices
N2  - 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)).
KW  - Mathematik
KW  - Reachability matrix
KW  - Krylow matrix
KW  - cyclic matrix
KW  - nonderogatory matrix
KW  - companion matrix
KW  - Vandermonde matrix
KW  - Hautus test
Y1  - 2010
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-68074
N1  - AMS subject classifications. 15A03, 15A15, 93B05
ER  - 
TY  - JOUR
A1  - Ballester-Bolinches, A.
A1  - Beidleman, J. C.
A1  - Heineken, H.
A1  - Pedraza-Aguilera, M. C.
T1  - Local Classes and Pairwise Mutually Permutable Products of Finite Groups
N2  - The main aim of the paper is to present some results about products of pairwise mutually permutable subgroups and local classes.
KW  - Mathematik
KW  - mutually permutable
KW  - local classes
KW  - p-soluble groups
KW  - p-supersolubility
KW  - finite groups
Y1  - 2010
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-68062
ER  -