The purpose of this paper is to investigate projection methods for the iterative computation of partially balanced reduced order systems. This approach is both completely automatic once an error tolerance is specified and ...

The authors of this paper recently introduced a transformation that converts a class of semidefinite programs (SDPs) into nonlinear optimization problems free of matrix-valued constraints and variables. This transformation ...

An important approach to solving many discrete optimization problems is to associate the discrete set (over which we wish to optimize) with the 0-1 vectors in a given polyhedron and to derive linear inequalities valid for ...

We prove that the Steepest Descent algorithm applied to the minimization of total stored energies with rank-one related rotationally symmetric energy wells does not produce relaxing vectorial microstructures with non-trivial ...

In this note we present a modified cyclic low-rank Smith method to compute low-rank approximations to solutions of Lyapunov equations arising from large-scale dynamical systems. Unlike the original cyclic low-rank Smith ...

There are several ways in which we can characterize classes of graphs. One such way of classifying graphs is by their brachwidth. In working to characterize the class of graphs with brachwidth at most four beta4 we have ...

This paper investigates the decay rate of the Hankel singular values of linear dynamical systems. This issue is of considerable interest in model reduction by means of balanced truncation, for instance, since the sum of ...

The double digestion problem for DNA restriction mapping is known to be NP-complete. Several approaches to the problem have been used including exhaustive search, simulated annealing, branch-and-bound. In this paper, we ...

Neurons have both a fast and slow mode of signaling. Fast signals are communicated by transmembrane voltage changes, while calcium levels within the cell communicate information on a much slower time scale. Calcium acts ...

Three optical flow image registration (IR) methods referred to as Combined Compressible Local Global (CCLG) optical flow, Large Displacements Optical Flow (LDOF), and Large Displacement Compressible Optical Flow (LDCOF) ...