1 citations · 1 across the 3 of their papers we have counts for
5 papers
A Gauss Laguerre approach for the resolvent of fractional powers
Eleonora Denich, Laura Grazia Dolce, Paolo Novati
This paper introduces a very fast method for the computation of the resolvent of fractional powers of operators. The analysis is kept in the continuous setting of (potentially unbo…
A Gaussian method for the operator square root
Eleonora Denich, Paolo Novati
We consider the approximation of the inverse square root of regularly accretive operators in Hilbert spaces. The approximation is of rational type and comes from the use of the Gau…
Gaussian rule for integrals involving Bessel functions
Eleonora Denich, Paolo Novati
In this work we develop the Gaussian quadrature rule for weight functions involving fractional powers, exponentials and Bessel functions of the first kind. Besides the computation…
On Krylov solutions to infinite-dimensional inverse linear problems
Noe Caruso, Alessandro Michelangeli, Paolo Novati
We discuss, in the context of inverse linear problems in Hilbert space, the notion of the associated infinite-dimensional Krylov subspace and we produce necessary and sufficient co…
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems
Noe Caruso, Alessandro Michelangeli, Paolo Novati
In the framework of abstract linear inverse problems in infinitedimensional Hilbert space we discuss generic convergence behaviours of approximate solutions determined by means of…