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This paper studies the convergence properties of multiplicative iterative algorithms with inexact line search. We prove that the convergence can be guaranteed for a general form of line search rule, under the assumption of convexity of objective function or the assumption of convergence of the...
A Hopfield-type neural network with adaptively changing synaptic weights and activation function parameters is presented to solve unconstrained nonlinear programming problems. The network performance is similar to that of the trust region method in the mathematical programming literature. There...
The uniqueness of the Beurling-Deny first formula in quasi-regular Dirichlet spaces is verified in terms of the strictly strong local property. An extension of the Beurling-Deny second formula is obtained in infinite dimensional spaces.
Predictor-corrector algorithm for linear programming, proposed by Mizuno et al. , becomes the best-known in the interior point methods. In this paper it is modified and then extended to solving a class of convex separable programming problems.
LetG be a simple graph. Letg(x) andf(x) be integer-valued functions defined onV(G) withf(x)≥g(x)≥1 for allxεV(G). It is proved that ifG is an (mg+m−1,mf−m+1)-graph andH is a [1,2]-subgraph withm edges, then there exists a (g,f)-factorization ofG orthogonal toH.
)′ have a multivariate normal distribution with meanμ and covariance matrixΣ. In the caseμ=0, Karlin and Rinott obtained a necessary and sufficient condition on Σ for |X|=(|X
n|)′ to be MTP2. In this paper we consider the caseμ≠0, and give some conditions under...
The stress boundary value problem of quasi-static linear thermoelasticity is discussed. The thermoelastic systems on bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by using accurate estimation and the contractive mapping principle. Representation...
For a class of planar polynomial differential systems of degreep+q, arising from biochemical reactions, there are given conditions of parameters under which the systems produce Hopf bifurcation with limit cycles appearing, or have no closed orbits.
In this paper we introduce homogeneous multiplicative functionals of Lévy processes and investigate their bivariate Revuz measures. We also prove that the sector condition will be inherited by sub-Lévy processes through the killing transformation.
LetG be a finite group of ordern andS be a subset ofG not containing the identity element ofG. Letp (0
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