Logos Verlag Berlin - Neuerscheinungen - MathematikNeuerscheinungen im Fachgebiet Mathematik im Logos Verlag Berlin
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Philip Saltenberger : On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms
http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=4914&lng=deu&id=
http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=4914&lng=deu&id=Thu, 30 May 2019 02:00:00 +0200
In this thesis, a novel framework for the construction and analysis of strong linearizations for matrix polynomials is presented. Strong linearizations provide the standard means to transform polynomial eigenvalue problems into equivalent generalized eigenvalue problems while preserving the complete finite and infinite eigenstructure of the problem. After the transformation, the QZ algorithm or special methods appropriate for structured linearizations can be applied for finding the eigenvalues efficiently.
The block Kronecker ansatz spaces proposed here establish an innovative and flexible approach for the construction of strong linearizations in the class of strong block minimal bases ...
Christian Barz : Differential Invariants of Prehomogeneous Vector Spaces
http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=4894&lng=deu&id=
http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=4894&lng=deu&id=Thu, 23 May 2019 02:00:00 +0200
Differential invariants of prehomogeneous vector spaces studies in detail two differential invariants of a discriminant divisor of a prehomogeneous vector space. The Bernstein-Sato polynomial and the spectrum, which encode the monodromy and Hodge theoretic informations of an associated Gauss-Manin system.
The theoretical results are applied to discriminants in the representation spaces of the Dynkin quivers An, Dn, E6, E7 and three non classical series of quiver representations.