نتایج جستجو برای: exponential matrix

تعداد نتایج: 424915  

Journal: :CoRR 2017
Ronen Eldan Renan Gross

We study the behavior of exponential random graphs in both the sparse and the dense regime. We show that exponential random graphs are approximate mixtures of graphs with independent edges whose probability matrices are critical points of an associated functional, resulting in a matrix equation. In the dense regime, every solution to this equation is close to a block matrix, concluding that the...

Abbas Mahdavi , Giovana Oliveira Silva,

 Abstract: A new method to generate various family of distributions is introduced. This method introduces a new two-parameter extension of the exponential distribution to illustrate its application. Some statistical and reliability properties of the new distribution, including explicit expressions for the moments, quantiles, mode, moment generating function, mean residual lifetime, stochas...

Journal: :SIAM J. Scientific Computing 2011
Awad H. Al-Mohy Nicholas J. Higham

A new algorithm is developed for computing etAB, where A is an n× n matrix and B is n×n0 with n0 ≪ n. The algorithm works for any A, its computational cost is dominated by the formation of products of A with n× n0 matrices, and the only input parameter is a backward error tolerance. The algorithm can return a single matrix etAB or a sequence etkAB on an equally spaced grid of points tk. It uses...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2009
Yi Li Laurent Chevillard Gregory Eyink Charles Meneveau

Two approaches for closing the turbulence subgrid-scale stress tensor in terms of matrix exponentials are introduced and compared. The first approach is based on a formal solution of the stress transport equation in which the production terms can be integrated exactly in terms of matrix exponentials. This formal solution of the subgrid-scale stress transport equation is shown to be useful to ex...

2006
Jason K. Johnson

This note summarizes various derivations, formulas and computational algorithms relevant to the Fisher information matrix of Gaussian graphical models with respect to either an exponential parameterization (related to the information form) or the corresponding moment parameterization. 1 Gauss-Markov Models The probability density of a Gaussian random vector x ∈ R may be expressed in information...

رجبی, مهدی , کمجانی, نادر ,

In this paper the simulation of tapered slot antenna is considered. Because of the wideband characteristic of this type of antenna, it's better to use time domain methods for simulation. In this work we use three dimensional transmission line matrix method (3D TLM) and EPML-TLM algorithm for modeling PML boundary condition straightforwardly in TLM method. Finally the result of the simulation of...

2013
Michele Benzi Paola Boito

We extend previous results on the exponential off-diagonal decay of the entries of analytic functions of banded and sparse matrices to the case where the matrix entries are elements of a C∗-algebra.

Sinc-Galerkin method based upon double exponential transformation for solving Troesch's problem was given in this study. Properties of the Sinc-Galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.The error bound of the method was found. ...

A. Habibi Rad, M. Izanlo,

The unified hybrid censoring is a mixture of generalized Type-I and Type-II hybrid censoring schemes. This article presents the statistical inferences on Generalized Exponential Distribution parameters when the data are obtained from the unified hybrid censoring scheme. It is observed that the maximum likelihood estimators can not be derived in closed form. The EM algorithm for computing the ma...

Journal: :SIAM J. Matrix Analysis Applications 2014
Meiyue Shao Weiguo Gao Jungong Xue

Small relative perturbations to the entries of an essentially nonnegative matrix introduce small relative errors to entries of its exponential. It is thus desirable to compute the exponential with high componentwise relative accuracy. Taylor series approximation coupled with scaling and squaring is used to compute the exponential of an essentially nonnegative matrix. An a priori componentwise r...

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