Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry

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Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. / Müller, Stefan; Feliu, Elisenda; Regensburger, Georg; Conradi, Carsten; Shiu, Anne; Dickenstein, Alicia.

I: Foundations of Computational Mathematics, Bind 16, Nr. 1, 01.02.2016, s. 69-97.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Müller, S, Feliu, E, Regensburger, G, Conradi, C, Shiu, A & Dickenstein, A 2016, 'Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry', Foundations of Computational Mathematics, bind 16, nr. 1, s. 69-97. https://doi.org/10.1007/s10208-014-9239-3

APA

Müller, S., Feliu, E., Regensburger, G., Conradi, C., Shiu, A., & Dickenstein, A. (2016). Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. Foundations of Computational Mathematics, 16(1), 69-97. https://doi.org/10.1007/s10208-014-9239-3

Vancouver

Müller S, Feliu E, Regensburger G, Conradi C, Shiu A, Dickenstein A. Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. Foundations of Computational Mathematics. 2016 feb. 1;16(1):69-97. https://doi.org/10.1007/s10208-014-9239-3

Author

Müller, Stefan ; Feliu, Elisenda ; Regensburger, Georg ; Conradi, Carsten ; Shiu, Anne ; Dickenstein, Alicia. / Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. I: Foundations of Computational Mathematics. 2016 ; Bind 16, Nr. 1. s. 69-97.

Bibtex

@article{48ebda63cb8746f981410eb3f3b537b9,
title = "Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry",
abstract = "We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomials maps with arbitrary real exponents defined on the positive orthant. Our work relates and extends existing injectivity conditions expressed in terms of Jacobian matrices and determinants. In the context of chemical reaction networks with power-law kinetics, our results can be used to preclude as well as to guarantee multiple positive steady states. In the context of real algebraic geometry, our results reveal the first ...",
keywords = "math.AG, math.DS",
author = "Stefan M{\"u}ller and Elisenda Feliu and Georg Regensburger and Carsten Conradi and Anne Shiu and Alicia Dickenstein",
year = "2016",
month = feb,
day = "1",
doi = "10.1007/s10208-014-9239-3",
language = "English",
volume = "16",
pages = "69--97",
journal = "Foundations of Computational Mathematics",
issn = "1615-3375",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry

AU - Müller, Stefan

AU - Feliu, Elisenda

AU - Regensburger, Georg

AU - Conradi, Carsten

AU - Shiu, Anne

AU - Dickenstein, Alicia

PY - 2016/2/1

Y1 - 2016/2/1

N2 - We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomials maps with arbitrary real exponents defined on the positive orthant. Our work relates and extends existing injectivity conditions expressed in terms of Jacobian matrices and determinants. In the context of chemical reaction networks with power-law kinetics, our results can be used to preclude as well as to guarantee multiple positive steady states. In the context of real algebraic geometry, our results reveal the first ...

AB - We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomials maps with arbitrary real exponents defined on the positive orthant. Our work relates and extends existing injectivity conditions expressed in terms of Jacobian matrices and determinants. In the context of chemical reaction networks with power-law kinetics, our results can be used to preclude as well as to guarantee multiple positive steady states. In the context of real algebraic geometry, our results reveal the first ...

KW - math.AG

KW - math.DS

U2 - 10.1007/s10208-014-9239-3

DO - 10.1007/s10208-014-9239-3

M3 - Journal article

VL - 16

SP - 69

EP - 97

JO - Foundations of Computational Mathematics

JF - Foundations of Computational Mathematics

SN - 1615-3375

IS - 1

ER -

ID: 94752755