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1.
一类矩阵方程的极小Frobenius范数双对称解   总被引:1,自引:0,他引:1  
利用矩阵的广义奇异值分解,给出了实矩阵方程ATXA=B存在极小Frobenius范数双对称解的充要条件及其解的表达式.  相似文献
2.
矩阵的Γ逆   总被引:1,自引:0,他引:1       下载免费PDF全文
利用矩阵的广义奇异值分解,给出了复数域上矩阵的Γ逆存在的充要条件及其表达式,并讨论了Γ逆的唯-性.  相似文献
3.
R. Hedjar  M. Bounkhel  L. Tadj 《TOP》2004,12(1):193-208
In this paper a predictive control strategy is applied to a periodic-review dynamic inventory system with deteriorating items. Given the current inventory level, we determine the optimal production rates to be implemented at the beginning of each of the following periods over the control horizon. The effectiveness of this approach is the use of future information of the inventory target level and the desired production rate, which are available, along the fixed horizon. The deterioration coefficient may be known or unknown and both cases are considered. In the case where it is unknown, the self-tuning predictive control is applied. The proposed control algorithms are illustrated by simulations.  相似文献
4.
We introduce the ordered weighted averaging (OWA) operator and emphasize how the choice of the weights, the weighting vector, allows us to implement different types of aggregation. We describe two important characterizing features associated with OWA weights. The first of these is the attitudinal character and the second is measure of dispersion. We discuss some methods for generating the weights and the role that these characterizing features can play in the determination of the OWA weights. We note that while in many cases these two features can help provide a clear distinction between different types of OWA operators there are some important cases in which these two characterizing features do not distinguish between OWA aggregations. In an attempt to address this we introduce a third characterizing feature associated with an OWA aggregation called the focus. We look at the calculation of this feature in a number of different situations.  相似文献
5.
A class of finite simplicial complexes, called pseudo cones, is developed that has a number of useful combinatorial properties. A partially ordered set is a pseudo cone if its order complex is a pseudo cone. Pseudo cones can be constructed from other pseudo cones in a number of ways. Pseudo cone ordered sets include finite dismantlable ordered sets and finite truncated noncomplemented lattices. The main result of the paper is a combinatorial proof of the fixed simplex property for finite pseudo cones in which a combinatorial structure is constructed that relates fixed simplices to one another. This gives combinatorial proofs of some well known non-constructive results in the fixed point theory of finite partially ordered sets.  相似文献
6.
We discuss the use of monotonic set measures for the representation of uncertain information. We look at some important examples of measure-based uncertainty, specifically probability and possibility and necessity. Others types of uncertainty such as cardinality based and quasi-additive measures are discussed. We consider the problem of determining the representative value of a variable whose uncertain value is formalized using a monotonic set measure. We note the central role that averaging and particularly weighted averaging operations play in obtaining these representative values. We investigate the use of various integrals such as the Choquet and Sugeno for obtaining these required averages. We suggest ways of extending a measure defined on a set to the case of fuzzy sets and the power sets of the original set. We briefly consider the problem of question answering under uncertain knowledge.  相似文献
7.
研究一类具有时滞和阶段结构的捕食系统.利用微分方程的比较原理和通过构造适当的Lyaponov泛函,得到保证此系统持久性和全局吸引性的充分条件.最后举例说明结论的可行性并且讨论了所得结果的生态意义.  相似文献
8.
LAI  Wei-ying 《数学季刊》2011,(4):568-572
A nonautonomous Nicholson's Blowflies model with feedback control and delay is investigated in this paper. We show that for this system, feedback control variable has no influence on the persistent property of the system.  相似文献
9.
用α和η关于第一分量是仿射的且是斜对称的条件代替条件C,得到如下结论:(1)如果一个函数的梯度是(严格)αη-伪单调的,则该函数是(严格)伪αη-不变凸的;(2)如果一个函数的梯度是拟αη-单调的,则该函数是拟αη-不变凸的.  相似文献
10.
借助于四元数体上自共轭矩阵的奇异值分解,给出了四元数矩阵方程AX+XB+CXD=F的极小范数最小二乘解.同时,在有解的条件下给出了Hermite最小二乘解及其通解的表达形式.  相似文献
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