Semidefinite programming and sums of hermitian squares of noncommutative polynomials

  • Igor Klep
  • Janez Povh
    • Categories Optimization Software Design Principles, Semi-definite Programming Tags , , , Short URL: https://optimization-online.org/?p=10804

    An algorithm for finding sums of hermitian squares decompositions for polynomials in noncommuting variables is presented. The algorithm is based on the "Newton chip method", a noncommutative analog of the classical Newton polytope method, and semide finite programming.

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    I. Klep and J. Povh. Semide nite programming and sums of hermitian squares of noncommutative polynomials. J. Pure Appl. Algebra, 214:740-749, 2010.

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