We present decay bounds for completely monotonic functions of Hermitian matrices, where
the matrix argument is banded or a Kronecker sum of banded matrices. This class includes …

Many important problems in mathematics and physics lead to (non-sparse) functions,
vectors, or matrices in which the fraction of nonnegligible entries is vanishingly small …

We present the path-sum formulation for the time-ordered exponential of a time-dependent
matrix. The path-sum formulation gives the time-ordered exponential as a branched …

This work is concerned with approximating matrix functions for banded matrices,
hierarchically semiseparable matrices, and related structures. We develop a new divide-and …

We consider the problem of computing an approximate banded solution of the continuous-
time Lyapunov equation A¯ X¯+ X¯ A¯ T= P¯, where the coefficient matrices A¯ and P¯ are …

Let $ a (z)=\sum_ {i\in\mathbb Z} a_iz^ i $ be a complex valued continuous function, defined
for $| z|= 1$, such that $\sum_ {i=-\infty}^{+\infty}| ia_i|<\infty $. Consider the semi-infinite …

We investigate pulse design problems arising in diverse applications in quantum science
and technology. In modern approaches, pulse design is cast as an ensemble control …

Abstract Let a (z)= ∑ _ i ∈ Z a_iz^ ia (z)=∑ i∈ Z aizi be a complex valued function defined
for| z|= 1| z|= 1, such that ∑ _ i ∈ Z| a_i|< ∞∑ i∈ Z| ai|<∞; define T (a)=(t_ i, j) _ i, j ∈ Z^+ …

Ensemble systems, pervasive in diverse scientific and engineering domains, pose
challenges to existing control methods due to their massive scale and underactuated nature …

In this thesis we propose and analyze algorithms for some numerical linear algebra tasks:
finding low-rank approximations of matrices, computing matrix functions, and estimating the …