On the isolated points of the surjective spectrum of a bounded operator

For a bounded operator acting on a complex Banach space, we show that if is not surjective, then is an isolated point of the surjective spectrum of if and only if , where is the quasinilpotent part of and is the analytic core for . Moreover, we study the operators for which . We show that for each of these operators , there exists a finite set consisting of Riesz points for such that and is connected, and derive some consequences.

     

Geometric Generalizations in Kresin–Maz’ya Sharp Real-Part Theorems

In the present article we present some geometric generalizations of the estimates from Chapters 5,6,7 of the monograph [7]. Received: July 24, 2007. Revised: October 27, 2007.     

Analysis of Off-Axial Optical Systems (1)

We have established a new method of aberration analysis for off-axial optical systems which are generalized concepts of co-axial optical systems, by introducing two kinds of newly defined 4-element vectors and expanding these vectors with the help of tensor algebra. In this method, since aberration properties are represented in tensor form, we can easily formulate the aberration relations between different azimuths. We can then evaluate the azimuth dependence of aberration properties in greater detail by separating them into inherent optical properties parts, which are independent of azimuths, and the paraxial ray-tracing part, which includes the expression of the evaluation azimuth.     

小Bond数条件下圆柱贮箱中液体晃动的模部分析

运用模部分析方法考察了小Bond数条件下圆柱贮箱中弯曲静液面对液体晃动模态的重构作用.研究表明,圆柱贮箱中的液体作小幅晃动时,参与晃动的各阶基本模态的正交性若仅由Bessel模部来给出,则弯曲静液面将使各阶模态加权耦合,形成新的特征模态;参与晃动的各阶基本模态的正交性若由三角函数模部来给出,则弯曲静液面将独立改变各阶模态的固有频率,各阶模态之间不耦合.运用新的重构模态来研究圆柱贮箱中液体的横向受迫晃动,给出了其模态选择特征.     

循环圈的连通度

设G＝C_n（i₁,i₂,…,i_r）是连通循环圈,且k（G）＜δ（G）．本文得到了其连通度的明确表达式κ(G)=min{m|M(n/m,K)|:m是n的真因子,且|M(n/m,K)|相似文献   

制冷系统可燃工质泄漏喷射过程的模拟研究

本文提出了制冷系统气相可燃工质泄漏量的计算方法。并根据射流原理,对可燃工质泄漏过程的速度场与浓度场进行了模拟计算。根据计算结果提出了局部着火与爆炸的概念。     

非拟牛顿非凸族的收敛性

１．引言 对于无约束最优化问题拟牛顿法是目前最成熟,应用最广泛的解法之一．近二十多年来,对拟牛顿法收敛性质的研究一直是非线性最优化算法理论研究的热点．带非精确搜索的拟牛顿算法的研究是从１９７６年 Ｐｏｗｅｌｌ［１］开始,他证明了带 Ｗｏｌｆｅ搜索 ＢＦＧＳ算法的全局收敛性和超线性收敛性． １９７８年 Ｂｙｒｄ, Ｎｏｃｅｄａｌ; Ｙａ－Ｘｉａｎｇ Ｙｕａｎ［３］成功地将 Ｐｏｗｅｌｌ的结果推广到限制的 Ｂｒｏｓｄｅｎ凸族． １９８９年, Ｎｏｃｅｄａｌ［４］在目标函数一致凸的条件下,证明了带回追搜索的ＢＦＧ…     

遮挡情况下目标跟踪算法综述

目标跟踪是机器视觉的核心问题之一。由于被跟踪目标本身特征的多样性,所处环境的复杂性,使得目标跟踪成为一个极富挑战性的课题。特别是跟踪过程中出现的遮挡问题,一直是目标跟踪中的难点。如何有效处理遮挡,尤其是严重遮挡和全部遮挡,成为限制目标跟踪算法鲁棒性的关键因素。本文对国内外现有的遮挡情况下的目标跟踪算法进行了总结和分类,阐述了各种算法的基本思想,简要介绍了其代表性的算法,指出了算法的适用场合,分析了算法的优缺点。文章最后对遮挡情况下的目标跟踪做了必要的讨论。     

Bounding the zeros of an interval equation

In this paper, we consider the problem of finding reliably and with certainty all zeros of an interval equation within a given search interval for continuously differentiable functions over real numbers. We propose a new formality of interval arithmetic which is treated in a theoretical manner to develop and prove a new method, lying on the context of interval Newton methods. Some important theoretical aspects of the new method are stated and proved. Finally, an algorithmic realization of our method is proposed to be applied on a set of test functions, where the promising theoretical results are verified.     

Nonlinear equations based on jointly homogeneous mappings

In this paper, we consider a nonlinear equation based on two-variable monotone and jointly homogeneous functions on an open convex normal cone

x=g(h(a,x),k(b,x))