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arXiv · 1804.00145

Normal and Triangular Determinantal Representations of Multivariate Polynomials

Massimo Salvi
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Abstract

In this paper we give a new and simple algorithm to put any multivariate polynomial into a normal determinant form in which each entry has the form , and in each column the same variable appears. We also apply the algorithm to obtain a triangular determinant representation, a reduced determinant representation, and a uniform determinant representation of any multivariable polynomial. The algorithm could be useful for obtaining representations of dimensions smaller than those available up to now to solve numerical problems.

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Massimo Salvi. 2018-03-31. Normal and Triangular Determinantal Representations of Multivariate Polynomials. https://doi.org/10.17654/nt040061043

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