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A wireless sensor network of nodes with limited energy is considered. The problem of computing a routing flow that maximizes the network lifetime is formulated as a linear program. We consider a conve...
Distributed consensus and other linear systems with system stochastic matrices $W_k$ emerge in various settings, like opinion formation in social networks, rendezvous of robots, and distributed infere...
Abstract: Applying the max-product (and belief-propagation) algorithms to loopy graphs is now quite popular for best assignment problems. This is largely due to their low computational complexity and ...
In this paper the authors prove that the best uniform convergence rate of EB estimators of the parameter θin uniform distribution family U(0,θ) cannot reach 1 under conditions weaker than Tao Bo's[5]....
The convergence and rate of convergence of an iterative method of Wang and Scott[1] for obtaining maximum likelihood estimates for contingency tables derived from a mover-stayer model are discussed.
Let (X, Y) be a pair of random variables such that X ranges over [0, 1] and Y is real-valued and let go(X) be the conditional expectation of Y given X. Based on a training sample, the piecewise polyno...
Convergence properties of trust-region methods for unconstrained nonconvex optimization is considered in the case where information on the objective function's local curvature is incomplete, in the...
摘要 Let (Y,X) be a random vector with its value in R~1×R~d,d\le 1. Let \Theta be the collection of real valued functions θ(x) on R~d which is p times differ-entiable at x=0 and p-1 times differentiable...
摘要 In this paper we discuss the convergence of the Broyden algorithms without convexity and exact line search assumptions. We proved that if the objective function is suitably smooth and the algorithm...
In this paper, a new region of βk with respect to βkPRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient ...
For unconstrained optimization, a new hybrid projection algorithm is presented in the paper. This algorithm has some attractive convergence properties. onvergence theory can be obtained under the co...
This paper presents a variant algorithm of Goldfarb's method for linearly constrained optimization problems. In the variant algorithm, we introduce a concept called conjugate projection, which differs...
The DFP algorithm is one of the mest famous numerical algorithms for unconstrained optimization.It is an open problem whether DFP algorithm with inexact line searches is globally convergent. In this p...
In this paper, we investigate the convergence property of the conjugate gradient algorithms which depend on the search directionsd_1=-g_1, d_{k+1}=-g_{k+1}+\beta_k d_k ,k\geq 1, by using different cho...
In order to construct more efficient methods for unconstrained optimization problems, several authors have considered more general functions than quadratic functionsas a basis for conjugate gradient m...

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