Since Maxwell’s theory is a gauge theory, it is quite important to evaluate the corresponding zero-point energy by a careful assignment of boundary conditions on the potential and on the ghost fields. Recent work by the authors has shown that, for a perfectly conducting spherical shell, it is precisely the contribution of longitudinal and normal modes of the potential which enables one to repro...

We present a new control design method for perturbed multiple-input systems, which guarantees any desired componentwise ultimate bound on the system state. The method involves eigenvalue/eigenvector assignment by state feedback and utilises a componentwise bound computation procedure. This procedure directly takes into account both the system and perturbation structures by performing componentw...

We show that the well-known formula by Ackermann and Utkin can be generalized to the case of higher-order sliding modes. By interpreting the eigenvalue assignment of the sliding dynamics as a zero-placement problem, the generalization becomes straightforward and the proof is greatly simplified. The generalized formula retains the simplicity of the original one while allowing to construct the sl...

‎based on an eigenvalue analysis‎, ‎a new proof for the sufficient‎ ‎descent property of the modified polak-ribière-polyak conjugate‎ ‎gradient method proposed by yu et al‎. ‎is presented‎.

intentional assignment of entitlements (as opposed to debts) is a legal institution which is based on the possibility of separation of entitlements from the personality of creditor and of its assignment to a third party. in the voluntary assignment of entitlements, the creditors may assign their rights to a third party. after long discussions, voluntary assignment of rights has been accepted in...

By modifying the mass and stiffness parameters of a structure, subset its natural frequencies can be assigned. However, such an assignment is usually accompanied with changes remaining frequencies, known as ‘spillover’. Eigenvalue or frequency spillover often needs to avoided in engineering. In this paper, new general method proposed for assigning structure low level through structural modifica...

In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.

the sharp upper bounds and the sharp lower bounds of the largest eigenvalues $lambda_1$, the least eigenvalue $lambda_n$, the second largest eigenvalue $lambda_2$, the spread and the separator among all firefly graphs on $n$ vertices are determined.