14 citations · 16 across the 11 of their papers we have counts for
14 papers
A Lanczos-type procedure for tensors
S. Cipolla, S. Pozza, M. Redivo-Zaglia +1
The solution of linear non-autonomous ordinary differential equation systems (also known as the time-ordered exponential) is a computationally challenging problem arising in a vari…
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations
Claude Brezinski, Stefano Cipolla, Michela Redivo-Zaglia +1
This paper examines a number of extrapolation and acceleration methods, and introduces a few modifications of the standard Shanks transformation that deal with general sequences. O…
Shifted and extrapolated power methods for tensor -eigenpairs
Stefano Cipolla, Michela Redivo-Zaglia, Francesco Tudisco
This work is concerned with the computation of -eigenvalues and eigenvectors of square tensors with modes. In the first part we propose two possible shifted variants of…
Extrapolation Methods for fixed-point Multilinear PageRank computations
Stefano Cipolla, Michela Redivo-Zaglia, Francesco Tudisco
Nonnegative tensors arise very naturally in many applications that involve large and complex data flows. Due to the relatively small requirement in terms of memory storage and numb…
Generalizations of Sylvester's determinantal identity
Anna Karapiperi, Michela Redivo-Zaglia, Maria Rosaria Russo
In this paper we deal with the noteworthy Sylvester's determinantal identity and some of its generalizations. We report the formulae due to Yakovlev, to Gasca, Lopez--Carmona, Rami…
New representations of Padé and Padé-type approximants
Claude Brezinski, Michela Redivo-Zaglia
Padé approximants are rational functions whose series expansion match a given series as far as possible. These approximants are usually written under a rational form. In this paper…
The simplified topological --algorithms for accelerating sequences in a vector space
Claude Brezinski, Michela Redivo-Zaglia
When a sequence of numbers is slowly converging, it can be transformed into a new sequence which, under some assumptions, could converge faster to the same limit. One of the most w…
Barycentric Padé approximation
Claude Brezinski, Michela Redivo-Zaglia
In this paper, we show how any Padé approximant of a formal power series can be written under two different barycentric rational forms. These form depend on p…
Convergence acceleration of Kaczmarz's method
Claude Brezinski, Michela Redivo-Zaglia
The method of alternation projections (MAP) is an iterative procedure for finding the projection of a point on the intersection of closed subspaces of an Hilbert space. The converg…
Padé-type rational and barycentric interpolation
Claude Brezinski, Michela Redivo-Zaglia
In this paper, we consider the particular case of the general rational Hermite interpolation problem where only the value of the function is interpolated at some points, and where…
Preconditioning linear systems via matrix function evaluation
Paolo Novati, Michela Redivo-Zaglia, Maria Rosaria Russo
For the solution of discrete ill-posed problems, in this paper a novel preconditioned iterative method based on the Arnoldi algorithm for matrix functions is presented. The method…
Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method
Claude Brezinski, Yi He, Xing-Biao Hu +2
In this paper, we give a multistep extension of the epsilon-algorithm of Wynn, and we show that it implements a multistep extension of the Shanks' sequence transformation which is…
A rational Arnoldi approach for ill-conditioned linear systems
Claude Brezinski, Paolo Novati, Michela Redivo-Zaglia
For the solution of full-rank ill-posed linear systems a new approach based on the Arnoldi algorithm is presented. Working with regularized systems, the method theoretically recons…
smt: a Matlab structured matrices toolbox
Michela Redivo-Zaglia, Giuseppe Rodriguez
We introduce the smt toolbox for Matlab. It implements optimized storage and fast arithmetics for circulant and Toeplitz matrices, and is intended to be transparent to the user and…