Simultaneous triangularization of commuting matrices for the solution of polynomial equations |
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| Authors: | Vanesa Cortés Juan Manuel Peña Tomas Sauer |
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| Institution: | 1.Departamento Matemática Aplicada,Universidad de Zaragoza,Zaragoza,Spain;2.Lehrstuhl für Numerische Mathematik,Justus-Liebig-Universit?t Gie?en,Gie?en,Germany |
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| Abstract: | We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices.
The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included. |
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