3 papers
math.NA2025
Krylov and core transformation algorithms for an inverse eigenvalue problem to compute recurrences of multiple orthogonal polynomials
Amin Faghih, Michele Rinelli, Marc Van Barel +2
In this paper, we develop algorithms for computing the recurrence coefficients corresponding to multiple orthogonal polynomials on the step-line. We reformulate the problem as an i…
math.NA2024
Estimation of spectral gaps for sparse symmetric matrices
Michele Benzi, Michele Rinelli, Igor Simunec
In this paper we propose and analyze an algorithm for identifying spectral gaps of a real symmetric matrix by simultaneously approximating the traces of spectral projectors ass…
math.NA2021
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices
Michele Benzi, Michele Rinelli
Spectral projectors of Hermitian matrices play a key role in many applications, and especially in electronic structure computations. Linear scaling methods for gapped systems are b…