Decoupling Multivariate Polynomials Using First-Order Information and Tensor Decompositions
نویسندگان
چکیده
منابع مشابه
Decoupling Multivariate Polynomials Using First-Order Information and Tensor Decompositions
We present a method to decompose a set of multivariate real polynomials into linear combinations of univariate polynomials in linear forms of the input variables. The method proceeds by collecting the first-order information of the polynomials in a set of sampling points, which is captured by the Jacobian matrix evaluated at the sampling points. The canonical polyadic decomposition of the three...
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We present a method to decompose a set of multivariate real polynomials into linear combinations of univariate polynomials in linear forms of the input variables. The method proceeds by collecting the first-order information of the polynomials in a set of operating points, which is captured by the Jacobian matrix evaluated at the operating points. The polyadic canonical decomposition of the thr...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2015
ISSN: 0895-4798,1095-7162
DOI: 10.1137/140991546