6 papers
Lagrange interpolation processes based on the zeros of anti-Gauss Jacobi polynomials
Patricia DÃaz de Alba, Luisa Fermo, Valerio Loi +1
This paper introduces and investigates a new Lagrange interpolation process based on the zeros of anti-Gauss Jacobi polynomials. Fundamental properties of anti-Gauss nodes, includi…
Anti-Gauss Lagrange interpolation: Christoffel-Darboux form, barycentric representation, and orthogonal expansion
Patricia DÃaz de Alba, Luisa Fermo, Valerio Loi
The paper deals with new formulations of a Lagrange interpolant polynomial based on the nodes of the well-known anti-Gauss rule. A first representation is given in terms of the cla…
Spectral analysis of the stiffness matrix sequence in the approximated Stokes equation
Samuele Ferri, Chiara Giraudo, Valerio Loi +2
In the present paper, we analyze in detail the spectral features of the matrix sequences arising from the Taylor-Hood - approximation of variable viscos…
Weyl distributions, spectral properties, and circulant approximation results for quaternion block multilevel Toeplitz matrix sequences
Ayoub Lailoune, Valerio Loi, Stefano Serra-Capizzano
The present work contains a comprehensive treatment of Weyl eigenvalue and singular value distributions, \val{Schatten -norm estimates, spectral localization and positive-defini…
Geometric means of HPD GLT matrix-sequences: a maximal result beyond invertibility assumptions on the GLT symbols
Asiim Ilyas, Muhammad Faisal Khan, Valerio Loi +1
In the current work, we consider the study of the spectral distribution of the geometric mean matrix-sequence of two matrix-sequences formed by Hermitian Positi…
Blocking structures, approximation, and preconditioning
Nikos Barakitis, Marco Donatelli, Samuele Ferri +3
We consider block-structured matrices , where the blocks are of (block) unilevel Toeplitz type with matrix-valued generating functions. Under mild assumptions on t…