5 papers
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…
Efficient Krylov solvers for inverse source problem in 2D space-time fractional diffusion equation
Asim Ilyas, Stefano Serra-Capizzano
In this work, we consider a two-dimensional time-space fractional diffusion equation with a variable coefficient and investigate the inverse source problem of reconstructing the so…
Block Jacobi/Gauss-Seidel preconditioning for GLT sequences, and GLH sequences
Carlo Garoni, Stefano Serra-Capizzano
The theory of generalized locally Toeplitz (GLT) sequences is an apparatus for computing the spectral and singular value distribution of sequences of matrices that possess a (possi…
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,…