A Column Space Based Approach to Solve Systems of Multivariate Polynomial Equations
نویسندگان
چکیده
We propose a novel approach to solve systems of multivariate polynomial equations, using the column space Macaulay matrix that is constructed from coefficients these polynomials. A multidimensional realization problem in null results an eigenvalue problem, eigenvalues and eigenvectors which yield common roots system. Since this based algorithm uses well-established numerical linear algebra tools, like singular value decomposition, it finds solutions within machine precision. In paper, on other hand, we determine complementary considers instead its space. This works directly data matrix, sparse structured. provide example illustrate our new compare with existing root-finding algorithm.
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ژورنال
عنوان ژورنال: IFAC-PapersOnLine
سال: 2021
ISSN: ['2405-8963', '2405-8971']
DOI: https://doi.org/10.1016/j.ifacol.2021.06.144