1 citations · 3 across the 7 of their papers we have counts for
8 papers
Matrix algebras with orthogonal Cauchy-like transforms and Toeplitz approximation: a negative result
Dario Fasino, Davide Furchì, Valerio Loi +1
We consider newly designed matrix algebras associated with Cauchy orthogonal transforms. In this work, we are interested in checking the approximation of Toeplitz matrices using al…
Iterated Tikhonov regularization of large linear problems
Davide Furchì, Lothar Reichel
Many solution methods for linear discrete ill-posed problems with error-contaminated data (right-hand side) apply Tikhonov regularization to compute a meaningful approximate soluti…
The Hermitian Distance degree of Tensor spaces
Davide Furchì
In this paper, we investigate the Hermitian distance minimization problem for determinantal varieties, the Segre variety, and the Veronese variety. In particular, for binary forms,…
The Hermitian Distance degree of an Algebraic Variety
Davide Furchì
In this paper we develop an algebraic theory to study the problem of finding the minimum distance point from an algebraic variety with respect to the Hermitian distance function. T…
The iterated Golub-Kahan-Tikhonov method
Davide Bianchi, Marco Donatelli, Davide Furchì +1
The Golub-Kahan-Tikhonov method is a popular solution technique for large linear discrete ill-posed problems. This method first applies partial Golub-Kahan bidiagonalization to red…
The Hermitian Killing form and root counting of complex polynomials with conjugate variables
Davide Furchì
Inspired by the work about solutions of a system of real polynomial equations done by Hermite, this paper introduces a Hermitian form, which encodes information about solutions of…
Improved parameter selection strategy for the iterated Arnoldi-Tikhonov method
Marco Donatelli, Davide Furchì
The iterated Arnoldi-Tikhonov (iAT) method is a regularization technique particularly suited for solving large-scale ill-posed linear inverse problems. Indeed, it reduces the compu…
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method
Davide Bianchi, Marco Donatelli, Davide Furchì +1
The Arnoldi-Tikhonov method is a well-established regularization technique for solving large-scale ill-posed linear inverse problems. This method leverages the Arnoldi decompositio…