A new look at totally positive matrices
Czechoslovak Mathematical Journal (2016)
- Volume: 66, Issue: 3, page 597-602
- ISSN: 0011-4642
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topFiedler, Miroslav. "A new look at totally positive matrices." Czechoslovak Mathematical Journal 66.3 (2016): 597-602. <http://eudml.org/doc/286853>.
@article{Fiedler2016,
abstract = {A close relationship between the class of totally positive matrices and anti-Monge matrices is used for suggesting a new direction for investigating totally positive matrices. Some questions are posed and a partial answer in the case of Vandermonde-like matrices is given.},
author = {Fiedler, Miroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {totally positive matrix; Monge matrix; semigroup; Vandermonde-like matrix},
language = {eng},
number = {3},
pages = {597-602},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new look at totally positive matrices},
url = {http://eudml.org/doc/286853},
volume = {66},
year = {2016},
}
TY - JOUR
AU - Fiedler, Miroslav
TI - A new look at totally positive matrices
JO - Czechoslovak Mathematical Journal
PY - 2016
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 3
SP - 597
EP - 602
AB - A close relationship between the class of totally positive matrices and anti-Monge matrices is used for suggesting a new direction for investigating totally positive matrices. Some questions are posed and a partial answer in the case of Vandermonde-like matrices is given.
LA - eng
KW - totally positive matrix; Monge matrix; semigroup; Vandermonde-like matrix
UR - http://eudml.org/doc/286853
ER -
References
top- Fallat, S. M., Johnson, C. R., Totally Nonnegative Matrices, Princeton Series in Applied Mathematics Princeton University Press, Princeton (2011). (2011) MR2791531
- Fiedler, M., 10.1016/j.laa.2005.08.020, Linear Algebra Appl. 413 (2006), 177-188. (2006) Zbl1090.15016MR2202101DOI10.1016/j.laa.2005.08.020
- Fiedler, M., Remarks on Monge matrices, Math. Bohem. 127 (2002), 27-32. (2002) Zbl1003.15022MR1895243
- Fiedler, M., Equilibrated anti-Monge matrices, Linear Algebra Appl. 335 (2001), 151-156. (2001) Zbl0983.15023MR1850820
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