In this paper we present a complete perturbation analysis of the [H.
Using the nonlocal perturbation analysis techniques developed in [8, 9], nonlocal perturbation bounds are then derived.
In this paper, we use the local perturbation analysis technique developed in  to establish such bound that are tighter than those in .
But, knowing that turbulence is fundamentally non-linear, the team decided a non-linear perturbation analysis
was exactly what was called for.
Other topics of the 15 papers include dynamic spectrum access, perturbation analysis
for spectrum sharing, optimal RF beamforming for MIMO cognitive networks, computation of performance parameters, and emergency cognitive radio ad hoc networks.
The project has three components: (1) a study of variation in longevity, focusing on perturbation analysis
of Markov chain models for mortality, (2) an analysis of the reward structure of populations, to quantify individual stochasticity in reproduction and other properties, and (3) the development of models to incorporate heterogeneity and stochasticity into branching process models and diffusion models.
Yih (1967) used a long-wave perturbation analysis
to show that two-layer, viscosity-stratified plane Poiseuille flow and plane Couette flow can be unstable for arbitrarily small Reynolds numbers.
The starting point for the perturbation analysis
is the two-dimensional flow driven by uniform flow in the primary slot.
In this paper we study the perturbation analysis for eigenvalues and eigenvectors of matrix polynomials of degree m
Since the polynomial eigenvalue problems typically arise from physical modelling, including numerical discretization methods such as finite element modelling [10, 31], and since the eigenvalue problem is usually solved with numerical methods that are subject to round-off as well as approximation errors, it is very important to study the perturbation analysis of these problems.
We assume the reader to be familiar with the concept of mixed relative perturbation analysis
and only recall the customized notation for sharp first-order analysis introduced in  and the rules for propagating perturbations.