Beamlet migration based on local perturbation theory is proposed. The method is formulated with a local background velocity and local perturbations for each window of the wave eld decomposition using Gabor-Daubechies frame and local cosine basis. The prop-agators and phase-correction operators are obtained analytically for the G-D tight-frame, and numerically for the local cosine basis. The num...

A signal eigenvalue sensitivity analysis for subspace-based methods that exploit the shift-invariance property present in the signal subspace is considered. It is proved that signal eigenvalues are rather insensitive to small perturbations in the data provided the dimension of the problem is large enough and the eigenvalues themselves are not extremely close to each other. In addition, bounds o...

The theoretical study of the nonrelativistic heavy quark-antiquark system [1] and its application to bottomonium [2] and toponium [3] physics is of special interest because it relies entirely on the first principles of QCD. The system in principle allows for a perturbative treatment with the nonperturbative effects being well under control and with no crucial model dependence. This makes the he...

We extend the cosmological linear perturbation theory code CMBFAST to closed geometries. This completes the implementation of CMBFAST to all types of geometries and allows the user to perform an unlimited search in the parameter space of models. This will be specially useful for placing confidence limits on cosmological parameters from existing and future data. We discuss some of the technical ...

Let K be a symmetric indefinite matrix. Suppose that K 1⁄4 LJL is the generalized Cholesky factorization of K. In this paper we present perturbation analysis for the generalized Cholesky factorization. We obtain the first-order bound on the norm of the perturbation in the generalized Cholesky factor. Also, we give rigorous perturbation bounds. 2002 Elsevier Inc. All rights reserved.

The sensitivity of the discrete-time matrix Riccati equation relative to perturbations in its coefficients is studied. Both local and non-local perturbation bounds are obtained. In particular the conditioning of the equation is determined.

Augmented infinitesimalperturbation analysis (APA) was introduced by GaJvoronski [ 1991] to increase the purview of the theory of Infinitesimal Perturbation Analysis (IPA). In reference [Gaivoronski 1991] it is shown that an unbiased estimate for the gradient of a class of performance measures of DEDS represented by generalized semi-Markov processes (GSMPs) (cf. [Glynn 1989] can be expressed as...

Recent study for congestion control in high speed networks indicates that the derivative information for the congestion at the common buffer for multiple sources could be useful in achieving efficient and fair allocation of the bandwidth (Kelly 1997, 1998). In this paper we present an algorithm that estimates such derivatives for multiple on-off sources. The algorithm has its root in the infini...

A number of indices exist to calculate lifespan variation, each with different underlying properties. Here, we present new formulae for the response of seven of these indices to changes in the underlying mortality schedule (life disparity, Gini coefficient, standard deviation, variance, Theil's index, mean logarithmic deviation, and interquartile range). We derive each of these indices from an ...