Alfred Horn's conjecture on eigenvalues of sums Hermitian matrices was proved more than 20 years ago. In this note, the problem is raised of, given an $n$-tuple $\gamma$ in solution polytope, constructing with required spectra such that their sum has $\gamma$.

This paper formulates the inverse power flow problem which is to infer nodal admittance matrix (hence network structure of system) from voltage and current phasors measured at a number buses. We show that can be uniquely identified sequence measurements corresponding different steady states when every node in system equipped with measurement device, Kron-reduced determined even if some nodes ar...

abstract: in this paper, a new population-based search called the bees algorithm (ba) is presented to estimate the time-dependent heat transfer coefficient and the corresponding heat flux at the boundaries of a two-dimensional body subjected to transient heat conduction, using the temperature measurements at discrete nodal locations on the boundaries, where heat flux is specified as the boundar...