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Conditioning and Singular Value Distribution of Jacobi Weighted Histopolation Matrices
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In this paper, we first study the singular value distribution of the unscaled matrices arising from Jacobi weighted histopolation. For the Jacobi weight with parameters , an…
Exactly Diagonal Gram Matrices in Jacobi Weighted Histopolation
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In the current work, we study univariate polynomial weighted histopolation on , where the data are weighted integrals over a family of intervals. After choosing a polynomia…
Weighted Derivative Histopolation on Arbitrary Grids: Admissibility and Exact Factorizations
Allal Guessab, Federico Nudo
In this paper, we introduce a weighted derivative histopolation framework on families of intervals. The degrees of freedom consist of one scalar normalization and weighted integral…
Spectral distribution of Jacobi weighted histopolation matrices via GLT theory
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In this paper we study a weighted histopolation problem on associated with Jacobi weights. In the first part of the present work we prove results in approximation theory,…
Spectral Schur analysis of structured moment matrices for quadratic histopolation
Allal Guessab, Federico Nudo
In this paper we study parameter-dependent structured moment matrices with a canonical block form arising from weighted quadratic histopolation on simplicial meshes. For a strictly…