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Showing 21-26 of 26 results

  1. Nonconvex Optimization for Communication Networks

    Nonlinear convex optimization has provided both an insightful modeling language and a powerful solution tool to the analysis and design of...
    Mung Chiang in Advances in Applied Mathematics and Global Optimization
    Chapter 2009

  2. POLYNOMIALS POSITIVE ON DOMAINS

    In Section 1.4, we have presented parameterizations of univariate polynomials that are positive on an interval.
    Bogdan Dumitrescu in Positive Trigonometric Polynomials and Signal Processing Applications
    Chapter 2007

  3. Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs

    We consider robust semi-definite programs which depend polynomially or rationally on some uncertain parameter that is only known to be contained in a...

    C. W. Scherer, C. W. J. Hol in Mathematical Programming
    Article 30 December 2005

  4. Certificates for nonnegativity of polynomials with zeros on compact semialgebraic sets

    We prove a criterion for an element of a commutative ring to be contained in an archimedean subsemiring. It can be used to investigate the question...

    Markus Schweighofer in manuscripta mathematica
    Article 03 June 2005

  5. When Does a Submodule of (ℝ[x 1 ⋯, x k]) n Contain a Positive Element?

    We characterize for modules consisting of tuples of Laurent polynomials with real coefficients whether such a module contains a positive element....

    Manfred Einsiedler, Robert Mouat, Selim Tuncel in Monatshefte für Mathematik
    Article 28 November 2003

  6. Positive polynomials on compact sets

    The aim of this note is to give short algebraic proofs of theorems of Handelman, Pólya and Schmüdgen concerning the algebraic structure of...

    Ralph Berr, Thorsten Wörmann in manuscripta mathematica
    Article 01 February 2001
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