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81.
Stella Dafermos 《Mathematical Programming》1983,26(1):40-47
In this paper we introduce and study a general iterative scheme for the numerical solution of finite dimensional variational inequalities. This iterative scheme not only contains, as special cases the projection, linear approximation and relaxation methods but also induces new algorithms. Then, we show that under appropriate assumptions the proposed iterative scheme converges by establishing contraction estimates involving a sequence of norms in En induced by symmetric positive definite matrices Gm. Thus, in contrast to the above mentioned methods, this technique allows the possibility of adjusting the norm at each step of the algorithm. This flexibility will generally yield convergence under weaker assumptions. 相似文献
82.
Do the rich get richer under the market system? We give models supporting such an idea on the basis of: (1) the utility function of the rich person increases at a slower rate and so he bargains for more, and (2) the poor person discounts the future at a higher rate than the rich person. 相似文献
83.
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85.
《Indagationes Mathematicae》2017,28(5):1076-1094
In this paper, the extent to which the Burkholder Inequalities in classical Stochastic Analysis can be generalized to the new Theory of Stochastic Analysis in Riesz spaces. 相似文献
86.
Louis H.Y Chen 《Journal of multivariate analysis》1982,12(2):306-315
Herman Chernoff used Hermite polynomials to prove an inequality for the normal distribution. This inequality is useful in solving a variation of the classical isoperimetric problem which, in turn, is relevant to data compression in the theory of element identification. As the inequality is of interest in itself, we prove a multivariate generalization of it using a different argument. 相似文献
87.
Foreign aid contributes significantly to the income levels and economic viability of many developing countries. This paper investigates the dispersion in the distribution of foreign aid using the Theil entropy measure of inequality. Results show that the inequality (dispersion) of foreign aid has increased substantially in recent years. The increased inequality in the total distribution of aid has been due to both increases in the regional inequality of aid and increases in the average inequality of aid within each region. As a result, the distribution of aid is becoming less alike between regions and between countries within regions. 相似文献
88.
运用数值计算和分析方法将Van Der Corput不等式的加强形式作进一步改进,通过强弱比较表明,所建立的不等式的强度优于以往文献的结果,并且所建立的不等式在形式上也较为简洁. 相似文献
89.
Solving nonlinear inequalities in a finite number of iterations 总被引：1，自引：0，他引：1
D. Q. Mayne E. Polak A. J. Heunis 《Journal of Optimization Theory and Applications》1981,33(2):207-221
This paper describes a modified Newton algorithm for solving a finite system of inequalities in a finite number of iterations.This research was supported by NSF Grant No. ENG-73-08214-AO1, by NSF-RANN Grant No. ENV-76-04264, and by the United Kingdom Science Research Council. 相似文献
90.