A geometric construction for spectrally arbitrary sign pattern matrices and the -conjecture
Czechoslovak Mathematical Journal (2023)
- Volume: 73, Issue: 2, page 565-580
- ISSN: 0011-4642
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topJadhav, Dipak, and Deore, Rajendra. "A geometric construction for spectrally arbitrary sign pattern matrices and the $2n$-conjecture." Czechoslovak Mathematical Journal 73.2 (2023): 565-580. <http://eudml.org/doc/299596>.
@article{Jadhav2023,
abstract = {We develop a geometric method for studying the spectral arbitrariness of a given sign pattern matrix. The method also provides a computational way of computing matrix realizations for a given characteristic polynomial. We also provide a partial answer to $2n$-conjecture. We determine that the $2n$-conjecture holds for the class of spectrally arbitrary patterns that have a column or row with at least $n-1$ nonzero entries.},
author = {Jadhav, Dipak, Deore, Rajendra},
journal = {Czechoslovak Mathematical Journal},
keywords = {spectrally arbitrary sign pattern; $2n$-conjecture},
language = {eng},
number = {2},
pages = {565-580},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A geometric construction for spectrally arbitrary sign pattern matrices and the $2n$-conjecture},
url = {http://eudml.org/doc/299596},
volume = {73},
year = {2023},
}
TY - JOUR
AU - Jadhav, Dipak
AU - Deore, Rajendra
TI - A geometric construction for spectrally arbitrary sign pattern matrices and the $2n$-conjecture
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 2
SP - 565
EP - 580
AB - We develop a geometric method for studying the spectral arbitrariness of a given sign pattern matrix. The method also provides a computational way of computing matrix realizations for a given characteristic polynomial. We also provide a partial answer to $2n$-conjecture. We determine that the $2n$-conjecture holds for the class of spectrally arbitrary patterns that have a column or row with at least $n-1$ nonzero entries.
LA - eng
KW - spectrally arbitrary sign pattern; $2n$-conjecture
UR - http://eudml.org/doc/299596
ER -
References
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