3 papers
quant-ph2026
Quantum block encoding for one-pair semiseparable matrices
Giacomo Antonioli, Paola Boito, Gianna M. Del Corso +1
Quantum block encoding (QBE) is a crucial step in the development of most quantum algorithms, as it provides an embedding of a given matrix into a suitable larger unitary matrix. H…
math.NA2026
Advances on the recovery of (perturbed) Cauchy matrices
Paola Boito, Dario Fasino, Beatrice Meini
Given a (possibly approximate) Cauchy matrix, how can we efficiently compute its generators? Expanding on previous work by Liesen and Luce [Linear Algebra Appl. 493 (2016) 261--280…
math.NA2025
Quasiseparable LU decay bounds for inverses of banded matrices
Paola Boito, Yuli Eidelman
We develop new, easily computable exponential decay bounds for inverses of banded matrices, based on the quasiseparable representation of Green matrices. The bounds rely on a diago…