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

© Springer International Publishing Switzerland 2015. 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 blockterm 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.

ISBN:978-3-319-22481-7

Publication year:2015

BOF-keylabel:yes

IOF-keylabel:yes

Authors from:Higher Education

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