68 citations · 177 across the 14 of their papers we have counts for
15 papers
Network Flows that Solve Linear Equations
Guodong Shi, Brian D. O. Anderson, U. Helmke
We study distributed network flows as solvers in continuous time for the linear algebraic equation . Each node has access to a row $\mathbf{h}_…
Decentralized gradient algorithm for solution of a linear equation
Brian D. O. Anderson, Shaoshuai Mou, A. Stephen Morse +1
The paper develops a technique for solving a linear equation with a square and nonsingular matrix , using a decentralized gradient algorithm. In the language of control t…
Controllability of ensembles of linear dynamical systems
Michael Schönlein, Uwe Helmke
We investigate the task of controlling ensembles of initial and terminal state vectors of parameter-dependent linear systems by applying parameter-independent open loop controls. N…
Zeros of Networked Systems with Time-invariant Interconnections
Mohsen Zamani, Uwe Helmke, Brian D. O. Anderson
This paper studies zeros of networked linear systems with time-invariant interconnection topology. While the characterization of zeros is given for both heterogeneous and homogeneo…
A Lie-Group Approach to Rigid Image Registration
Martin Schröter, Uwe Helmke, Otto Sauer
The task of image restration is to find the spatial correspondence of two or more given images. In this paper we assume that the correspondence is given either by an Euclidean, or…
Riemannian optimization on tensor products of Grassmann manifolds: Applications to generalized Rayleigh-quotients
O. Curtef, G. Dirr, U. Helmke
We introduce a generalized Rayleigh-quotient on the tensor product of Grassmannians enabling a unified approach to well-known optimization tasks from different areas of numerical l…