Multidimensional intertwining Leja sequences and applications in\n bidimensional Lagrange interpolation

2019/09/07 by Amadeo Irigoyen, Irigoyen, Amadeo
Mathematics · Engineering · Earth and Planetary Sciences · #Mathematical functions and polynomials #Advanced Numerical Analysis Techniques #Geophysics and Gravity Measurements

paper · pdf · doi:10.48550/arxiv.1909.03257

Abstract

We first give a method to get multidimensional Leja sequences by considering\nintertwining sequences from one-dimensional ones. An application is the\nexistence of explicit Leja sequences for the closed unit polydisc. Next, we\ndeal with some applications in bidimensional Lagrange interpolation with\nintertwining Leja sequences. These results also require an explicit formula for\nthe associated fundamental Lagrange polynomials with uniform estimates.\n

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