关于具优势对称部分的不定线性代数方程组的分裂极小残量算法

１．引 言 考虑大型稀疏线性代数方程组 为利用系数矩阵的稀疏结构以尽可能减少存储空间和计算开销，Ｋｒｙｌｏｖ子空间迭代算法［１，１６，２３］及其预处理变型［６，８，１３，１８，１９］通常是求解（１）的有效而实用的方法．当系数矩阵对称正定时，共轭梯度法（ＣＧ（     

对称不定矩阵的广义Cholesky分解法

对称不定矩阵的广义Ｃｈｏｌｅｓｋｙ分解法赵金熙（南京大学）ＴＨＥＧＥＮＥＲＡＬＩＺＥＤＣＨＯＬＳＫＹＦＡＣＴＯＲＩＺＡＴＩＯＮＭＥＴＨＯＤＦＯＲＳＯＬＶＩＮＧＳＹＭＭＥＴＲＩＣＩＮＤＥＦＩＮＩＴＥＬＩＮＥＡＲＳＹＳＴＥＭＳ￥ＺｈａｏＪｉｎ－ｘｉ（Ｎａ...     

AVERAGE σ-K WIDTH OF CLASS OF Lp（R^n） IN Lq（R^n）

ＡＶＥＲＡＧＥ　σ－Ｋ　ＷＩＤＴＨ　ＯＦ　ＣＬＡＳＳ　ＯＦ　Ｌ_ｐ（Ｒ~ｎ）ＩＮ　Ｌ_ｑ（Ｒ~ｎ）ＡＶＥＲＡＧＥσ－ＫＷＩＤＴＨＯＦＣＬＡＳＳＯＦＬ_ｐ（Ｒ~ｎ）ＩＮＬ_ｑ（Ｒ~ｎ）￥ＬＩＵＹＯＮＧＰＩＮＧＡｂｓｔｒａｃｔ：Ｔｈｅａｖｅｒａｇｅσ－Ｋｗｉｄｔ...     

N－边域上的积分磨光法

Ｎ－边域上的积分磨光法黄正东，王启付，周济，余俊（华中理工大学机械学院ＣＡＤ中心）ＩＮＴＥＧＲＡＬＳＭＯＯＴＨＩＮＧＭＥＴＨＯＤＯＮＮ－ＳＩＤＥＤＳＵＲＦＡＣＥＲＥＧＩＯＮＳ￥ＨｕａｎｇＺｈｅｎｇ－ｄｏｎｇ；ＷａｎｇＱｉ－ｆｕ；ＺｈｏｕＪｉ；ＹｕＪｕ...     

基于非协调元的加法型Schwarz交替法：——弱重迭情形

基于非协调元的加法型Ｓｃｈｗａｒｚ交替法──弱重迭情形黄建国（上海交通大学应用数学系）ＡＤＤＩＴＩＶＥＳＣＨＷＡＲＺＡＬＴＥＲＮＡＴＩＮＧＭＥＴＨＯＤＦＯＲＮＯＮＣＯＮＦＯＲＭＩＮＧＦＩＮＩＴＥＥＬＥＭＥＮＴ──ＣＡＳＥＯＦＷＥＡＫＯＶＥＲＬＡＰ￥Ｈ...     

基于非协调元的加法型Schwarz交替法──弱重迭情形

基于非协调元的加法型Ｓｃｈｗａｒｚ交替法──弱重迭情形黄建国（上海交通大学应用数学系）ＡＤＤＩＴＩＶＥＳＣＨＷＡＲＺＡＬＴＥＲＮＡＴＩＮＧＭＥＴＨＯＤＦＯＲＮＯＮＣＯＮＦＯＲＭＩＮＧＦＩＮＩＴＥＥＬＥＭＥＮＴ──ＣＡＳＥＯＦＷＥＡＫＯＶＥＲＬＡＰ￥Ｈ...     

非协调元的分数阶Sobolev空间

非协调元的分数阶Ｓｏｂｏｌｅｖ空间冯康，王烈衡（中科院计算中心）ＦＡＣＴＩＯＮＡＬＯＲＤＥＲＳＯＢＯＬＥＶＳＡＣＥＳＦＯＲＮＯＮＣＯＮＦＯＲＭＩＮＧＦＩＮＩＴＥＥＬＥＭＥＮＴＳ￥ＦｅｎｇＫａｎｇ；ＷａｎｇＬｉｅ－ｈｅｎｇ（ＣｏｍｐｕｔｉｎｇＣｅｎｔｅ...     

N－边域上的积分磨光法

Ｎ－边域上的积分磨光法黄正东，王启付，周济，余俊（华中理工大学机械学院ＣＡＤ中心）ＩＮＴＥＧＲＡＬＳＭＯＯＴＨＩＮＧＭＥＴＨＯＤＯＮＮ－ＳＩＤＥＤＳＵＲＦＡＣＥＲＥＧＩＯＮＳ￥ＨｕａｎｇＺｈｅｎｇ－ｄｏｎｇ；ＷａｎｇＱｉ－ｆｕ；ＺｈｏｕＪｉ；ＹｕＪｕ...     

椭圆离散方程并行预条件子局部构造算法Ⅱ：非自共轭型方程

椭圆离散方程并行预条件子局部构造算法Ⅱ：非自共轭型方程孙家昶，曹建文（中国科学院软件研究所并行软件研究开发中心）ＡＣＬＡＳＳＯＦＬＯＣＡＬＧＲＥＥＮ－ＬＩＫＥＰＡＲＡＬＬＥＬＰＲＥＣＯＮＤＩＴＩＯＮＥＲＡＬＧＯＲＩＴＨＭＦＯＲＥＬＬＩＰＴＩＣＤＩＳＣ...     

用新的逼近空间求解奇性问题

用新的逼近空间求解奇性问题梁国平，孔林，何江衡（中国科学院数学研究所）ＡＮＥＷＦＩＮＩＴＥＥＬＥＭＥＮＴＳＰＡＣＥＦＯＲＳＩＮＧＵＬＡＲＩＴＹＰＲＯＢＬＥＭＳ￥ＬｉａｎｇＧｕｏ－ｐｉｎｇ；ＫｏｎｇＬｉｎ；ＨｅＪｉａｎｇ－ｈｅｎｇ（Ｉｎｓｔｉｔｕｔｅｏ...     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.