We discuss several applications of the Leja point method for univariate polynomial interpolation. First weshow how more or less arbitrary interpolation points sets can be stabilized by adding some points fromthe Leja sequence generated beginning with the given set. We then show how the Leja point idea can beused to generate good point sets for Hermite–Lagrange polynomial interpolation. Then we discuss aversion of Leja sequences for the interval [−1, 1] that are constrained to be symmetric sets. Finally wediscuss the extension of Leja stabilization to several variables.
Application of modified Leja sequences to polynomial interpolation
BOS, LEONARD PETER;CALIARI, Marco
2015-01-01
Abstract
We discuss several applications of the Leja point method for univariate polynomial interpolation. First weshow how more or less arbitrary interpolation points sets can be stabilized by adding some points fromthe Leja sequence generated beginning with the given set. We then show how the Leja point idea can beused to generate good point sets for Hermite–Lagrange polynomial interpolation. Then we discuss aversion of Leja sequences for the interval [−1, 1] that are constrained to be symmetric sets. Finally wediscuss the extension of Leja stabilization to several variables.
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