Approximate factorization of multivariate polynomials using singular value decomposition
Kaltofen, E., May, J. P., Yang, Z., & Zhi, L. (2007, December 5). Journal of Symbolic Computation, Vol. 43, pp. 359–376.
author keywords: multivariate polynomial factorization; approximate factorization; singular value decomposition; numerical algebra; Gauss-Newton optimization
topics (OpenAlex): Numerical Methods and Algorithms; Digital Filter Design and Implementation; Polynomial and algebraic computation
TL;DR:
These algorithms are based on a generalization of the differential forms introduced by W. Ruppert and S. Gao to many variables, and use singular value decomposition or structured total least squares approximation and Gauss-Newton optimization to numerically compute the approximate multivariate factors.
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