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Preservation of Total Nonnegativity under the Hadamard Product and Related Topics

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 359))

Abstract

We present various results related to our recent result that the Hadamard (i.e. coefficient-wise) product of two Hurwitz stable polynomials is again Hurwitz stable, resp. that the set of the nonsingular totally nonnegative Hurwitz matrices is closed under the Hadamard product.

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© 1996 Springer Science+Business Media Dordrecht

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Garloff, J., Wagner, D.G. (1996). Preservation of Total Nonnegativity under the Hadamard Product and Related Topics. In: Gasca, M., Micchelli, C.A. (eds) Total Positivity and Its Applications. Mathematics and Its Applications, vol 359. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8674-0_5

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  • DOI: https://doi.org/10.1007/978-94-015-8674-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4667-3

  • Online ISBN: 978-94-015-8674-0

  • eBook Packages: Springer Book Archive

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