3 papers
math.NA2021
Divide and conquer methods for functions of matrices with banded or hierarchical low-rank structure
Alice Cortinovis, Daniel Kressner, Stefano Massei
This work is concerned with approximating matrix functions for banded matrices, hierarchically semiseparable matrices, and related structures. We develop a new divide-and-conquer m…
math.NA2020
Low-rank updates of matrix functions II: Rational Krylov methods
Bernhard Beckermann, Alice Cortinovis, Daniel Kressner +1
This work develops novel rational Krylov methods for updating a large-scale matrix function f(A) when A is subject to low-rank modifications. It extends our previous work in this c…
math.NA2019
Low-rank approximation in the Frobenius norm by column and row subset selection
Alice Cortinovis, Daniel Kressner
A CUR approximation of a matrix is a particular type of low-rank approximation , where and consist of columns and rows of , respectively. One way to…