论文信息 - Block-Decoupling Multivariate Polynomials Using the Tensor Block-Term Decomposition

Block-Decoupling Multivariate Polynomials Using the Tensor Block-Term Decomposition

We present a tensor-based method to decompose a given set of multivariate functions into linear combinations of a set of multivariate functions of linear forms of the input variables. The method proceeds by forming a three-way array tensor by stacking Jacobian matrix evaluations of the function behind each other. It is shown that a block-term decomposition of this tensor provides the necessary information to block-decouple the given function into a set of functions with small input-output dimensionality. The method is validated on a numerical example.

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