For a Hamiltonian matrix with purely imaginary eigenvalues, we aim to determine the nearest Hamiltonian matrix such that some or all eigenvalues leave the imaginary axis. Conversely, for a Hamiltonian matrix with all eigenvalues lying off the imaginary axis, we look for a nearest Hamiltonian matrix that has a pair of imaginary eigenvalues. The Hamiltonian matrices can be allowed to be complex o...

We introduce a numerical method to determine the Hamiltonian of mean force (HMF) Gibbs state for quantum system strongly coupled reservoir. The adapts time evolving matrix product operator (TEMPO) algorithm imaginary-time propagation. By comparing real-time and propagation generalized spin-boson model, we confirm that HMF correctly predicts steady state. show dynamics match polaron master equat...

A bstract We analyze the form factors parametrizing B c → J/ψ, η matrix elements of operators in a generalized low-energy b semileptonic Hamiltonian. consider an expansion nonrelativistic QCD, classifying heavy quark spin symmetry breaking terms and expressing universal functions selected kinematical range. Using as input lattice QCD results for J/ψ element SM operator, we obtain information on...

s 6 Awad H. Al-Mohy An Improved Algorithm for the Matrix Logarithm . . . . . . . . . . . . . . . . . . . . 7 David Amsallem Interpolation on Matrix Manifolds of Reduced-Order Models and Application to On-Line Aeroelastic Predictions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Athanasios C. Antoulas Model Reduction of Parameter-Dependent Systems . . . . . . . . . . . . . . . . . . ...

Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.  

For certain finite groups $G$ of B\"acklund transformations we show that the dynamics $G$-invariant configurations $n|G|$ Calogero--Painlev\'e particles is equivalent to $n$-particle system. We also reduction on subset $n|G|\times n|G|$ matrix Painlev\'e system $n\times n$ The correspond folding equations. proofs are based Hamiltonian reductions.

With a view to applying the Generator Coordinate Method large configuration spaces, we propose simple approximate formula compute diabatic many-body matrix elements without having evaluate two-body interaction elements. The method is illustrated with two analytically solvable Hamiltonians based on harmonic oscillator.

Generalized honeycomb torus is a candidate for interconnection network architectures, which includes honeycomb torus, honeycomb rectangular torus, and honeycomb parallelogramic torus as special cases. Existence of Hamiltonian cycle is a basic requirement for interconnection networks since it helps map a “token ring” parallel algorithm onto the associated network in an efficient way. Cho and Hsu...