28 citations · 68 across the 25 of their papers we have counts for
3 papers · 1 filter
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…
Hierarchical adaptive low-rank format with applications to discretized PDEs
Stefano Massei, Leonardo Robol, Daniel Kressner
A novel compressed matrix format is proposed that combines an adaptive hierarchical partitioning of the matrix with low-rank approximation. One typical application is the approxima…
Mixed precision recursive block diagonalization for bivariate functions of matrices
Stefano Massei, Leonardo Robol
Various numerical linear algebra problems can be formulated as evaluating bivariate function of matrices. The most notable examples are the Fréchet derivative along a direction, th…