We discuss the use of a single generic linear combination of multiplication matrices, and its reordered Schur factorization, to find the roots of a system of multivariate polynomial equations. The principal contribution of this paper is to show how to reduce the multivariate problem to a univariate problem, even in the case of multiple roots, in a numerically stable way.

Reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots

GIANNI, PATRIZIA;
1997-01-01

Abstract

We discuss the use of a single generic linear combination of multiplication matrices, and its reordered Schur factorization, to find the roots of a system of multivariate polynomial equations. The principal contribution of this paper is to show how to reduce the multivariate problem to a univariate problem, even in the case of multiple roots, in a numerically stable way.
1997
0897918754
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/49426
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