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Which Symmetric Homogeneous Polynomials Can Be Proved Positive Semi-definite by Difference Substitution Method?

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5081))

Abstract

Recently a method based on substitution of difference of variables has been developed by Yang [12] for verifying the positive semi-definiteness of homogeneous polynomials. In this paper, we investigate the structure of the cone formed by all symmetric homogeneous polynomials whose positive semi-definiteness can proven by difference substitution method.

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Deepak Kapur

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© 2008 Springer-Verlag Berlin Heidelberg

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Chen, L., Zeng, Z. (2008). Which Symmetric Homogeneous Polynomials Can Be Proved Positive Semi-definite by Difference Substitution Method?. In: Kapur, D. (eds) Computer Mathematics. ASCM 2007. Lecture Notes in Computer Science(), vol 5081. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87827-8_5

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  • DOI: https://doi.org/10.1007/978-3-540-87827-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87826-1

  • Online ISBN: 978-3-540-87827-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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