On the maximum rank of Toeplitz block matrices of blocks of a given pattern

Gunther Reißig.
On the maximum rank of Toeplitz block matrices of blocks of a given pattern.
Proc. 16th Intl. Symp. on Math. Th. of Networks and Systems (MTNS), Leuven, Belgium, July 5-9, 2004, B. de Moor, B. Motmans, J. Willems, P. Van Dooren, and V. Blondel, eds., ISBN 90-5682-517-8. © Katholieke Universiteit Leuven, Departement Elektrotechniek (ESAT), Heverlee, Belgium, 2004.

Full text. (Accepted version; free access.)

Abstract:
We show that the maximum rank of block lower triangular Toeplitz block matrices equals their term rank if the blocks fulfill a structural condition, i.e., only the locations but not the values of their nonzeros are fixed.

BibTeX entry:

@InProceedings{Reissig04,
 AUTHOR = {Rei{\ss}ig, Gunther},
 title  = {On the maximum rank of {T}oeplitz block matrices of blocks of a given pattern},
 booktitle = {Proc. 16th Intl. Symp. on Math. Th. of Networks and Systems (MTNS), Leuven, Belgium, } # jul # { 5--9, 2004},
 editor = {Bart de Moor and Bart Motmans and Jan Willems and Van Dooren, Paul and Vincent Blondel},
 isbn = {90-5682-517-8},
 organization = {Katholieke Universiteit Leuven, Departement Elektrotechniek (ESAT), Heverlee, Belgium},
 year = 2004,
 url = {http://arxiv.org/abs/1305.4277},
 eprint = {1305.4277}
}

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