Skew-Hermitian Triangular Splitting Iteration Methods for Non-Hermitian Positive Definite Linear Systems of Strong Skew-Hermitian Parts

By further generalizing the skew-symmetric triangular splitting iteration method studied by Krukier, Chikina and Belokon (Applied Numerical Mathematics, 41 (2002), pp. 89–105), in this paper, we present a new iteration scheme, called the modified skew-Hermitian triangular splitting iteration method, for solving the strongly non-Hermitian systems of linear equations with positive definite coefficient matrices. We discuss the convergence property and the optimal parameters of this new method in depth. Moreover, when it is applied to precondition the Krylov subspace methods like GMRES, the preconditioning property of the modified skew-Hermitian triangular splitting iteration is analyzed in detail. Numerical results show that, as both solver and preconditioner, the modified skew-Hermitian triangular splitting iteration method is very effective for solving large sparse positive definite systems of linear equations of strong skew-Hermitian parts.     

Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms

We extend the matrix version of Cochran's statistical theorem to outer inverses of a matrix. As applications, we investigate the Wishartness and independence of matrix quadratic forms for Kronecker product covariance structures.     

Generalized lattice model of liquid state and its relation to Ginzburg–Landau theory

Basic principles of the generalized lattice model of multicomponent condensed systems are formulated. Short-range parts of interatomic interactions are taken into account by means of the geometric constraints method. Long-range parts of the interactions are taken into account in mean field approximation. The expression for Helmholtz free energy is obtained. A system of integral equations for the equilibrium distributions of components is derived. The asymptotic properties of its solutions are investigated. Moment expansion of interatomic interactions and localization of integral terms in free energy is obtained. A Ginzburg–Landau-like functional of free energy is derived.     

广义Sierpinski集

本文考察了包括平面上的各种广义 Cantor集 ,Sierpinski集和包括某些连续不可微曲线在内的广义 Sierpinski集 .由相似变换 ,导出了它们的级数表达式 ,并利用它和字符串空间的对应关系 ,计算出它们的Hausdorff维数     

中国延边朝鲜族自治州的移民资本流动

显著的移民资本流动已经在南朝鲜与延边之间发生。延边当地政府支持劳动力移民,支持随后的汇款额利用所带来的渐进利益。官方对成功的移民者和他们同延边经济发展的整合不感兴趣。他们已经采取措施推动移民但是并没有出台有效的政策用以将新资本转移到延边,并将它们注入当地发展中。到目前为止重要的资源并没有被触及。     

数据库原理及应用课程教学模式的研究与实践

本文针对目前数据库原理及应用课程在教学过程中存在的一些问题,探讨了如何从教学内容、教学目标、教学手段、教学方法以及考核方式上改进教学模式,从而提高学生的综合素质。     

微型圆热管挤压犁削／拔拉成型刀具和模具的设计

在分析微型热管的功能、技术要求及其加工工艺的基础上，设计了微型热管犁削-拔拉用成型刀具和系列模具．该刀具可使定位装夹方便，加工的热管直径尺寸稳定；模具保证了热管的外径尺寸并可方便地根据要求改变外径尺寸，热管外表面质量好，内部具有更加优良的毛细结构．刀具采用高速钢，模具采用45钢．     

试析庐隐小说的特点

本文试着分析庐隐小说的特点:浓厚的自叙传性质;以情感人的悲剧意识;对女性命运的追问;融情入景的笔调。旨在说明庐隐作品在中国现代文学史上的地位是应当切实加以肯定的。     

大学生对课外活动形式所持态度的调查与分析

体育课程不仅包括"课堂"教学,而且包括课堂外的各种教学活动。课外活动是体育课的必然延伸,在教师的指导下,有计划、有组织地开展好课外、校外体育活动,使学生具有体育锻炼的自觉性和自主锻炼的能力,是为学生终生体育打下基础的需要,是落实《全民健身计划》的需要。     

“互动分层合作学习”对田径运动成绩的影响

在田径教学实践中运用“互动合作学习法”对学生进行合理、适宜的分类或分组，确立相应的层次目标．做好课的设计，包括实践操作、课外作业、课内外的教学指导、协调学生组内及组间的合作交流等各个教学环节，使教学过程体现出系统性、层次性，使每位学生都能在各自力所能及的范围内，通过相互帮助和互相协作学习而收到良好的成效．同时能更好地促进学生主动、积极地学习，更好地完成教学任务与教学目标，提高教与学的双边效果．