The Magnus expansion and some of its applications

S Blanes, F Casas, JA Oteo, J Ros - Physics reports, 2009 - Elsevier
Approximate resolution of linear systems of differential equations with varying coefficients is
a recurrent problem, shared by a number of scientific and engineering areas, ranging from …

Optimization techniques on Riemannian manifolds

ST Smith - arXiv preprint arXiv:1407.5965, 2014 - arxiv.org
The techniques and analysis presented in this paper provide new methods to solve
optimization problems posed on Riemannian manifolds. A new point of view is offered for …

[图书][B] Optimization and dynamical systems

U Helmke, JB Moore - 2012 - books.google.com
This work is aimed at mathematics and engineering graduate students and researchers in
the areas of optimization, dynamical systems, control sys tems, signal processing, and linear …

Isotropic hashing

W Kong, WJ Li - Advances in neural information processing …, 2012 - proceedings.neurips.cc
Most existing hashing methods adopt some projection functions to project the original data
into several dimensions of real values, and then each of these projected dimensions is …

Designing structured tight frames via an alternating projection method

JA Tropp, IS Dhillon, RW Heath… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
Tight frames, also known as general Welch-bound-equality sequences, generalize
orthonormal systems. Numerous applications-including communications, coding, and …

[图书][B] Inverse eigenvalue problems: theory, algorithms, and applications

M Chu, G Golub - 2005 - books.google.com
Inverse eigenvalue problems arise in a remarkable variety of applications and associated
with any inverse eigenvalue problem are two fundamental questions—the theoretical issue …

Inverse eigenvalue problems

MT Chu - SIAM review, 1998 - SIAM
A collection of inverse eigenvalue problems are identified and classified according to their
characteristics. Current developments in both the theoretic and the algorithmic aspects are …

Alternating projections on manifolds

AS Lewis, J Malick - Mathematics of Operations Research, 2008 - pubsonline.informs.org
We prove that if two smooth manifolds intersect transversally, then the method of alternating
projections converges locally at a linear rate. We bound the speed of convergence in terms …

Multireference theories of electron correlation based on the driven similarity renormalization group

C Li, FA Evangelista - Annual Review of Physical Chemistry, 2019 - annualreviews.org
The driven similarity renormalization group (DSRG) provides an alternative way to address
the intruder state problem in quantum chemistry. In this review, we discuss recent …

Geometric operator quantum speed limit, Wegner Hamiltonian flow and operator growth

N Hörnedal, N Carabba, K Takahashi… - Quantum, 2023 - quantum-journal.org
Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a
process to unfold by using a distance between quantum states and identifying the speed of …