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A Jordan-like decomposition for linear relations in finite-dimensional spaces
Thomas Berger, Henk de Snoo, Carsten Trunk +1
A square matrix has the usual Jordan canonical form that describes the structure of via eigenvalues and the corresponding Jordan blocks. If is a linear relation in a fi…
Linear relations and their singular chains
Thomas Berger, Henk de Snoo, Carsten Trunk +1
Singular chain spaces for linear relations in linear spaces play a fundamental role in the decomposition of linear relations in finite-dimensional spaces. In this paper singular ch…
Finite Rank Perturbations of Linear Relations and Matrix Pencils
Leslie Leben, Francisco Martínez-Pería, Friedrich Philipp +2
We elaborate on the deviation of the Jordan structures of two linear relations that are finite-dimensional perturbations of each other. We compare their number of Jordan chains of…
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square
H. S. V. de Snoo, H. Winkler, M. Wojtylak
A generalized Nevanlinna function with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional line…