[HTML][HTML] Computing approximate Fekete points by QR factorizations of Vandermonde matrices

A Sommariva, M Vianello - Computers & Mathematics with Applications, 2009 - Elsevier
We propose a numerical method (implemented in Matlab) for computing approximate Fekete
points on compact multivariate domains. It relies on the search of maximum volume …

Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points

L Bos, JP Calvi, N Levenberg, A Sommariva… - Mathematics of …, 2011 - ams.org
GEOMETRIC WEAKLY ADMISSIBLE MESHES, DISCRETE LEAST SQUARES
APPROXIMATIONS AND APPROXIMATE FEKETE POINTS 1. Introduction In a rec Page 1 …

Lagrange–Chebyshev Interpolation for image resizing

D Occorsio, G Ramella, W Themistoclakis - Mathematics and Computers in …, 2022 - Elsevier
Image resizing is a basic tool in image processing, and in literature, we have many methods
based on different approaches, which are often specialized in only upscaling or …

Polynomial interpolation and approximation in

T Bloom, L Bos, JP Calvi, N Levenberg - Annales Polonici Mathematici, 2012 - infona.pl
We update the state of the subject approximately 20 years after the publication of T. Bloom,
L. Bos, C. Christensen, and N. Levenberg, Polynomial interpolation of holomorphic functions …

Quantitative tomography for continuous variable quantum systems

O Landon-Cardinal, LCG Govia, AA Clerk - Physical review letters, 2018 - APS
We present a continuous variable tomography scheme that reconstructs the Husimi Q
function (Wigner function) by Lagrange interpolation, using measurements of the Q function …

Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes

D Occorsio, W Themistoclakis - Applied Mathematics and Computation, 2020 - Elsevier
The paper deals with de la Vallée Poussin type interpolation on the square at tensor product
Chebyshev zeros of the first kind. The approximation is studied in the space of locally …

Non-equispaced system matrix acquisition for magnetic particle imaging based on Lissajous node points

C Kaethner, W Erb, M Ahlborg… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
Magnetic Particle Imaging (MPI) is an emerging technology in the field of (pre) clinical
imaging. The acquisition of a particle signal is realized along specific sampling trajectories …

Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves

W Erb, C Kaethner, M Ahlborg, TM Buzug - Numerische Mathematik, 2016 - Springer
Motivated by an application in Magnetic Particle Imaging, we study bivariate Lagrange
interpolation at the node points of Lissajous curves. The resulting theory is a generalization …

Bivariate collocation for computing R0 in epidemic models with two structures

D Breda, S De Reggi, F Scarabel, R Vermiglio… - … & Mathematics with …, 2022 - Elsevier
Structured epidemic models can be formulated as first-order hyperbolic PDEs, where the
“spatial” variables represent individual traits, called structures. For models with two …

Integration of spectator qubits into quantum computer architectures for hardware tune-up and calibration

RS Gupta, LCG Govia, MJ Biercuk - Physical Review A, 2020 - APS
Performing efficient quantum computer tune-up and calibration is essential for growth in
system complexity. In this work we explore the link between facilitating such capabilities and …