# 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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