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On rank variation of block matrices generated by Nevanlinna matrix functions
Author(s) -
YongJian Hu,
GongNing Chen
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610759
Subject(s) - mathematics , rank (graph theory) , block (permutation group theory) , matrix (chemical analysis) , moment (physics) , pure mathematics , block matrix , combinatorics , algebra over a field , materials science , physics , classical mechanics , quantum mechanics , composite material , eigenvalues and eigenvectors
Within the framework of the multiple Nevanlinna–Pick matrix interpolation and its related matrix moment problem, we study the rank of block moment matrices of various kinds, generalized block Pick matrices and generalized block Loewner matrices, as well as their Potapov modifications, generated by Nevanlinna matrix functions, and derive statements either on rank (or inertia) invariance in different senses or on rank variation of such types of block matrices (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)