The ADI iteration is closely related to the rational Krylov projection methods for constructing low rank approximations to the solution of Sylvester equation. In this paper we show that the ADI and rational Krylov approximations are in fact equivalent when a special choice of shifts are employed in both methods. We will call these shifts pseudo H2-optimal shifts. These shifts are also optimal i...

The numerical solution of the time-dependent neutron transport problem in 2-D Cartesian geometry is considered. The problem is described by a coupled system of hyperbolic partial differential equations with the parameters of multiple groups. The system, for given group parameter, is discretized by a discrete ordinate method (SN) in angular direction and adaptive spline wavelet method with alter...

Abstract: We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation, the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-elliptic correspondence, we shall derive a two stage iterative procedure employing a fractiona...

With the rise in multimedia content over years, more variety is observed recording environments of audio. An audio processing system might benefit when it has a module to identify acoustic domain at its front-end. In this paper, we demonstrate idea identification (ADI) for speaker diarization. For this, first present detailed study various domains third DIHARD challenge highlighting factors tha...

Angular differential imaging (ADI) and spectral (SDI) are commonly used for direct detection characterisation of young, Jovian exoplanets in datasets obtained with the SPHERE/IFS instrument. We compare performance ADI, SDI, three combinations ADI SDI to find which technique achieves highest signal-to-noise ratio (S/N), we analyse their as functions integration time, field rotation, wavelength r...

Recent studies demonstrate increasing rates of severe maternal morbidity (SMM) as well disproportionate frequencies amongst racial minorities, with black women consistently having the highest proportion SMM. Area deprivation index (ADI), a nationally used composite measure neighborhood socioeconomic disadvantage, is associated multimorbidity including adverse pregnancy outcomes. We sought to ex...