A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching |
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| Authors: | Marcel Schweitzer |
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| Institution: | 1.Departamento de Matemática Aplicada/IUMA,Universidad de Zaragoza,Zaragoza,Spain;2.Departamento de Matemática Aplicada,Universidad de Zaragoza,Huesca,Spain |
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| Abstract: | The Lagrange interpolation problem on spaces of symmetric bivariate polynomials is considered to reduce the interpolation problem to problems of approximately half dimension. The Berzolari-Radon construction is adapted to these kinds of problems by considering nodes placed on symmetric lines or symmetric pairs of lines. A Newton formula for the symmetric interpolant using the Berzolari-Radon construction is proposed. |
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