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81.
变尺度梯度投影算法是解决带约束非线性规划问题的一个常用方法,本文主要给出变尺度梯度投影算子的一些性质。 相似文献
82.
In this note, a limiting technique is presented to enforcemonotonicity for higher-order spatial diffusion discretizations.The aim is to avoid spurious oscillations and to improve thequalitative behaviour on coarse grids. The technique is relatedto known ones for convection equations, using limiters to boundthe numerical fluxes. Applications arise in pattern formationproblems for reactiondiffusion equations. 相似文献
83.
84.
Thomas Simon 《Mathematische Nachrichten》2012,285(4):497-506
Let Zα be a positive α‐stable random variable and $r\in {\mathbb {R}}.Let Zα be a positive α‐stable random variable and $r\in {\mathbb {R}}.$ We show the existence of an unbounded open domain D in [1/2, 1] × ( ? ∞, ?1/2] with a cusp at (1/2, ?1/2), characterized by the complete monotonicity of the function $F_{\alpha ,r}(\lambda ) = (\alpha \lambda ^\alpha -r)e^{-\lambda ^\alpha }\!\! ,$ such that $Z_\alpha ^r$ is unimodal if and only if (α, r)?D. 相似文献
85.
Rolf Jeltsch 《BIT Numerical Mathematics》2006,46(3):567-587
The exact relation between a Cooper-like reducibility concept and the reducibilities introduced by Hundsdorfer, Spijker and by Dahlquist and Jeltsch is given. A shifted Runge–Kutta scheme and a transplanted differential equation is introduced in such a fashion that the input/output relation remains unchanged under these transformations. This gives a technique to prove stability and contractivity results. This is demonstrated on the example of contractivity disks. AMS subject classification (2000) 65L07 相似文献
86.
87.
This paper studies systems of tensor-product functions for which the functions they span are monotonic in any direction when
their control nets are monotonic in that direction. It is shown that Bernstein polynomials and B-splines have this property
but that totally positive systems in general, such as certain trigonometric and rational bases, do not.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
88.
ZHU Li-ping~ YANG Xiao-yan~ YU Zhou~ LIU Xiang-rong~ School of Finance Statist. East China Normal Univ. Shanghai China. Dept.of Statist. Zhejiang Univ.of Finance Economics Hangzhou China. 《高校应用数学学报(英文版)》2008,23(1):107-112
The single-index model with monotonic link function is investigated. Firstly, it is showed that the link function h(.) can be viewed by a graphic method. That is, the plot with the fitted response y on the horizontal axis and the observed y on the vertical axis can be used to visualize the link function. It is pointed out that this graphic approach is also applicable even when the link function is not monotonic. Note that many existing nonparametric smoothers can also be used to assess h(.). Therefore, the I-spline approximation of the link function via maximizing the covariance function with a penalty function is investigated in the present work. The consistency of the criterion is constructed. A small simulation is carried out to evidence the efficiency of the approach proposed in the paper. 相似文献
89.
The paper stresses the role of new classes of generalized invex monotonicity in the convergence of iterative schemes for solving
a variational-like inequality problem on a closed convex set.
This work was supported by Grant NSFC 70432001. 相似文献
90.
Sjur Didrik Flåm 《Applied Mathematics and Optimization》1993,27(3):275-289
We propose and analyze a primal-dual, infinitesimal method for locating Nash equilibria of constrained, non-cooperative games. The main object is a family of nonstandard Lagrangian functions, one for each player. With respect to these functions the algorithm yields separately, in differential form, directions of steepest-descent in all decision variables and steepest-ascent in all multipliers. For convergence we need marginal costs to be monotone and constraints to be convex inequalities. The method is largely decomposed and amenable for parallel computing. Other noteworthy features are: non-smooth data can be accommodated; no projection or optimization is needed as subroutines; multipliers converge monotonically upward; and, finally, the implementation amounts, in essence, only to numerical integration. 相似文献