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

Foundations of Computational Mathematics, no. 1 (2016): 69.0-97.0

Cited: 61|Views28
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Abstract

We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial 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 ne...More

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