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991.
In this paper we first recall some definitions and results of fuzzy plane geometry, and then introduce some definitions in
the geometry of two-dimensional fuzzy linear programming (FLP). After defining the optimal solution based on these definitions,
we use the geometric approach for obtaining optimal solution(s) and show that the algebraic solutions obtained by Zimmermann
method (ZM) and our geometric solutions are the same. Finally, numerical examples are solved by these two methods. 相似文献
992.
V. G. Bardakov 《Acta Appl Math》2005,85(1-3):41-48
In this paper we prove that the braid group Bn(S2) of 2-sphere, mapping class group M(0,n) of the n-punctured 2-sphere and the braid group B3(P2) of the projective plane are linear.
Partially supported by the Russian Foundation for Basic Research (grant number 02-01-01118).Mathematics Subject Classifications (2000) 20F28, 20F36, 20G35. 相似文献
993.
一类高阶微分方程亚纯解的增长性 总被引:2,自引:0,他引:2
研究了几种类型的高阶线性亚纯系数微分方程的亚纯解的增长性,对方程的亚纯解的增长率得到了精确估计. 相似文献
994.
本文研究了线性模型的最小二乘估计的中偏差.通过估计Laplace渐近积分,得到了随机误差为取值于Rd的相互独立同分布随机变量情形下的中偏差与重对数律的结果. 相似文献
995.
996.
本文研究了一般Gauss-Markov模型中线性可预测变量的线性预测的可容许性.在给出线性预测可容许性定义的基础上,通过构造一个特殊的常量矩阵D0,分别得到了齐次和非齐次线性预测类中可容许的充要条件. 相似文献
997.
Jia Zhongxiao 《数学学报(英文版)》1998,14(4):507-518
The convergence problem of many Krylov subspace methods,e.g., FOM, GCR, GMRES and QMR, for solving large unsymmetric (non-Hermitian) linear systems is considered in a unified way when
the coefficient matrixA is defective and its spectrum lies in the open right (left) half plane. Related theoretical error bounds are established
and some intrinsic relationships between the convergence speed and the spectrum ofA are exposed. It is shown that these methods are likely to converge slowly once one of the three cases occurs:A is defective, the distribution of its spectrum is not favorable, or the Jordan basis ofA is ill conditioned. In the proof, some properties on the higher order derivatives of Chebyshev polynomials in an ellipse
in the complex plane are derived, one of which corrects a result that has been used extensively in the literature.
Supported by the China State Major Key Project for Basic Researches, the National Natural Science Foundation of China, the
Doctoral Program of the Chinese National Educational Commission, the Foundation of Returned Scholars of China and Liaoning
Province Natural Science Foundation. 相似文献
998.
The local asymptotic normality (LAN) property is established for multivariate ARMA models with a linear trend or, equivalently, for multivariate general linear models with ARMA error term. In contrast with earlier univariate results, the central sequence here is correlogram-based, i.e. expressed in terms of a generalized concept of residual cross-covariance function. 相似文献
999.
The current study provides a simple algorithm for finding the optimal ROC curve for a linear discriminant between two point distributions, given only information about the classes' means and covariances. The method makes no assumptions concerning the exact type of distribution and is shown to provide the best possible discrimination for any physically reasonable measure of the classification error. This very general solution is shown to specialise to results obtained in other papers which assumed multi-dimensional Gaussian distributed classes, or minimised the maximum classification error. Some numerical examples are provided which show the improvement in classification of this method over previously used methods. 相似文献
1000.
In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix. 相似文献