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81.
Teruhiro Shirakura 《Annals of the Institute of Statistical Mathematics》1986,38(1):145-159
Summary For a given fractional 2
m
factorial (2
m
-FF) designT, the constitution of a block plan to divideT intok (2
r−1<k≦2
r
) blocks withr block factors each at two levels is proposed and investigated. The well-known three norms of the confounding matrix are used
as measures for determining a “good” block plan. Some theorems concerning the constitution of a block plan are derived for
a 2
m
-FF design of odd or even resolution. Two norms which may be preferred over the other norm are slightly modified. For each
value ofN assemblies with 11≦N≦26, optimum block plans fork=2 blocks with block sizes [N/2] andN−[N/2] minimizing the two norms are presented forA-optimal balanced 24-FF designs of resolutionV given by Srivastava and Chopra (Technometrics,13, 257–269). 相似文献
82.
Dragan Vukoti? 《Journal of Mathematical Analysis and Applications》2005,311(1):377-380
A theorem and a corollary in the paper cited in the title were stated incorrectly, as was pointed out by Christopher Hammond. We now state correctly and prove both of them. These results still generalize and explain the geometric meaning of the Cowen-Hurst norm formula. We also include additional references and provide an example relevant for further study. 相似文献
83.
This paper deals with the class of continuous-time linear systems with Markovian jumps and multiple time delays. The systems that we are treating are assumed to have time-varying delays in their dynamics which can be different and also have uncertainties in the system parameters. The time-varying structure of the bounded uncertainties is considered. Delay-dependent conditions for stochastic stability and stochastic stabilizability and their robustness are considered. A design algorithm for a stabilizing memoryless controller is proposed. All the results are given in the LMI formalism. 相似文献
84.
85.
矩阵方程AXAT=C的对称斜反对称解 总被引:1,自引:0,他引:1
设A∈Rm×n,C∈Rm×m给定,利用矩阵的广义奇异值分解和对称斜反对称矩阵的性质,得到了矩阵方程(1)AXAT=C存在对称斜反对称解的充要条件和通解表达式;证明了若方程(1)有解,则一定存在唯一极小范数解,并给出了极小范数解的具体表达式和求解步骤. 相似文献
86.
在该文中,作者应用扩散过程在Holder范数下的大偏差得到了扩散过程在Holder范数下的局部Strassen重对数律.并且还得到了重It■积分的泛函重对数律. 相似文献
87.
Francisco J. Aragón Artacho 《Set-Valued Analysis》2007,15(3):307-315
Borwein’s norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner
(outer) norm of its adjoint mappings. In this note we provide an extended version of this theorem with a new and self-contained
proof relying only on the Hahn-Banach theorem. We also give examples showing that the assumptions of the theorem cannot be
relaxed.
This author is supported by Grant BES-2003-0188 from FPI Program of MEC (Spain). 相似文献
88.
David E. Edmunds Bohumí r Opic 《Proceedings of the American Mathematical Society》2003,131(3):745-754
We give new characterizations of Lorentz spaces by means of certain quasi-norms which are shown to be equivalent to the classical ones.
89.
本文讨论了Banach序列空间Cesp(E)的范数粗性,得到了其范数强粗、粗的几个结果。 相似文献
90.
A. Di Nola
W. Pedrycz
S. Sessa
E. Sanchez
《Fuzzy Sets and Systems》1991,40(3):415-429We give a wide overview on the applications of fuzzy relation equations theory to decision-making processes, to the construction of preference relations and to Knowledge Engineering, mainly fuzzy control and fuzzy pattern recognition. General theoretical results and methodological aspects are pointed out. 相似文献