检索结果-内蒙古大学图书馆

An iterative algorithm for approximating convex minimization problem

APPLIED MATHEMATICS AND COMPUTATION 2007年第1期188卷 648-656页

作者： Yao, Yonghong Liou, Yeong-Cheng Yao, Jen-Chih Natl Sun Yat Sen Univ Dept Appl Math Kaohsiung 804 Taiwan Cheng Shiu Univ Dept Informat Management Kaohsiung 833 Taiwan Tianjin Polytech Univ Dept Math Tianjin 300160 Peoples R China

We suggest and analyze an iterative algorithm without the assumption of any type of commutativity on an infinite family of nonexpansive mappings. We show that the proposed iterative algorithm converges to the unique minimizer of some quadratic function over the common fixed point sets of an infinite family of nonexoansive mappings. Our result extend and improve many results announced by many authors. (C) 2006 Elsevier Inc. All rights reserved.

关键词： nonexpansive mapping fixed point convex minimization problem iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

An iterative Method for the Least-Squares Minimum-Norm Symmetric Solution

引用

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 2011年第3-4期77卷 173-182页

作者： Wang, Minghui Wei, Musheng Hu, Shanrui Qingdao Univ Sci & Technol Dept Math Qingdao 266061 Peoples R China Shanghai Normal Univ Dept Math Shanghai 200234 Peoples R China

The mapping from the symmetric solution set to its independent parameter space is studied and an iterative method is proposed for the least-squares minimum-norm symmetric solution of AXB = E. Numerical results are rep... 详细信息

关键词： Matrix equation symmetric matrix Least squares problem minimum norm iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

Adaptive tuning of buffer pool size in database server based on iterative algorithm

引用

IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS 2007年第2期E90D卷 594-597页

作者： Shimizu, Junya Diao, Yixin IBM Res Corp Tokyo Res Lab Yamato 2428502 Japan IBM Corp Thomas J Watson Res Ctr Yorktown Hts NY 10598 USA

One of the system greatly affecting the performance of a database server is the size-division of buffer pools. This letter proposes an adaptive control method of the buffer pool sizes. This method obtains the nearly o... 详细信息

关键词： database server buffer pool performance control extended Kalman filtering iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

iterative-Order-Reduction Substructuring Method for Dynamic Condensation of Finite Element Models

引用

AIAA JOURNAL 2011年第1期49卷 87-96页

作者： Liu, Zheng-shan Wu, Zhi-gang Dalian Univ Technol Sch Aeronaut & Astronaut State Key Lab Struct Anal Ind Equipment Dalian 116023 Peoples R China

An iterative condensation method for both undamped and damped structures is presented. The iterative order-reduction method, which uses iterative forms of mass and transformation matrices to reduce the finite element system matrices, is a computationally efficient technique to obtain the lowest eigerivalues of undamped and classically damped finite element models. However, the iterative order-reduction method is not suitable for application in nonclassically damped systems, due to the absence of damping in the dynamic transformation matrix. In this paper, an improved iterative order-reduction method based on the state-space model is proposed for nonclassically damped systems by fully taking into account the effect of damping on the transformation matrix. By combining the original and improved iterative order-reduction schemes with the substructuring scheme, a new iterative order-reduction substructuring method is also proposed to overcome the problem of requiring more computational resources to construct the transformation matrix of large-scale finite element models. The proposed method may be applied to the reduction problems of large-scale undamped and damped finite element models with limited computer storage and high computational efficiency. Two numerical examples are provided to demonstrate the effectiveness of the proposed method.

关键词： Finite Element Modeling Condensation Damping Ratio Poisson's Ratio Trusses FORTRAN Second Order Differential Equations iterative algorithm Dynamic Analysis Space Experiments

来源：评论

学校读者我要写书评

暂无评论

Numerical Inverse Heat Transfer Analysis for Temperature-Sensitive-Paint Measurements in Hypersonic Tunnels

引用

JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER 2011年第1期25卷 59-67页

作者： Cai, Zemin Liu, Tianshu Wang, Bo Rubal, Justin Sullivan, John P. Western Michigan Univ Dept Mech & Aeronaut Engn Kalamazoo MI 49008 USA Shantou Univ Dept Elect Engn Shantou 515063 Peoples R China Purdue Univ Sch Aeronaut & Astronaut W Lafayette IN 47907 USA

This paper describes a numerical inverse method used in temperature-sensitive-paint measurements for quantitative global heat flux diagnostics in hypersonic tunnels. An iterative algorithm is developed to solve the one-dimensional inverse heat transfer problem for unsteady heat flux into a polymer layer (temperature-sensitive paint) on a semi-infinite base, where the temperature dependencies of the thermal properties of materials are taken into account. Surface heat flux distributions on cone models are calculated by using this algorithm from temperature-sensitive-paint images acquired in hypersonic wind tunnel testing.

关键词： Numerical Inverse Heat Transfer Analysis Temperature Sensitive Paint Temperature Fields Polyvinyl Chloride Boundary Layer Transition Inverse Heat Conduction Conduction Equation Hypersonic Wind Tunnels iterative algorithm Charge Coupled Device

来源：评论

学校读者我要写书评

暂无评论

General system of (A, η)-monotone variational inclusion problems based on generalized hybrid iterative algorithm

引用

NONLINEAR ANALYSIS-HYBRID SYSTEMS 2007年第3期1卷 326-335页

作者： Verma, Rm U. Univ Toledo Dept Math Toledo OH 43606 USA

First a new system of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings in Hilbert spaces is introduced and then its solvability is explored. Based on the general resolvent operator method associated with (A, eta)-monotone mappings, approximation solvability of this system of nonlinear set-valued variational inclusions is established. The convergence analysis is discussed in detail. The obtained results generalize a number of results on nonlinear variational inclusion systems. (C) 2006 Elsevier Ltd. All rights reserved.

关键词： (A, eta)-monotone mapping System of nonlinear set-valued variational inclusions Resolvent operator method iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

Electromagnetic non-destructive evaluation by vector finite-element neural networks

引用

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS 2011年第2期24卷 132-143页

作者： Al Salameh, M. S. H. Taha, S. I. Univ Sci & Technol Dept Elect Engn Irbid 22110 Jordan Arabian Grp Co Ford Co Alsafat 13125 State Kuwait Kuwait

This study proposes neural network-based iterative inverse solutions for non-destructive evaluation (NDE) in which vector finite elements (VFEM) represent the forward model that closely models the physical process. The iterative algorithm can eventually estimate the material parameters. Vector finite element method global matrix is stored in a compact form using its sparsity and symmetry. The stored matrix elements are employed as the neurons weights, and preconditioning techniques are used to accelerate convergence of the neural networks (NN) algorithm. Detailed algorithm describing this new method is given to facilitate implementation. Combining vector finite elements and NNs offers several advantages over each technique alone, such as reducing memory storage requirements and the easily computed fixed weights of the NN. Various examples are solved to show the performance and usefulness of the proposed method, including lossy printed circuit board and lossy inhomogeneous cylindrical problems with ferromagnetic materials. These solutions compare very well with other published data where the maximum relative error was 5%. Copyright (C) 2011 John Wiley & Sons, Ltd.

关键词： vector FEM neural network non-destructive evaluation electromagnetics iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

Simple "Residual-Norm" Based algorithms, for the Solution of a Large System of Non-Linear Algebraic Equations, which Converge Faster than the Newton's Method

引用

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 2011年第3期71卷 279-304页

作者： Liu, Chein-Shan Atluri, Satya N. Natl Taiwan Univ Dept Civil Engn Taipei 10764 Taiwan Univ Calif Irvine Ctr Aerosp Res & Educ Irvine CA USA

For solving a system of nonlinear algebraic equations (NAEs) of the type: F(x) = 0, or F(i)(x(j)) = 0, i, j = 1, ..., n, a Newton-like algorithm has several drawbacks such as local convergence, being sensitive to the initial guess of solution, and the time-penalty involved in finding the inversion of the Jacobian matrix partial derivative F(i)/partial derivative x(j). Based-on an invariant manifold defined in the space of (x, t) in terms of the residual-norm of the vector F(x), we can derive a gradient-flow system of nonlinear ordinary differential equations (ODEs) governing the evolution of x with a fictitious time-like variable t as an independent variable. We can prove that in the present novel Residual-Norm Based algorithms (RNBAs), the residual-error is automatically decreased to zero along the path of x(t). More importantly, we have derived three iterative algoritms which do not involve the fictitious time and its stepsize Delta t. We apply the three RNBAs to several numerical examples, revealing exponential convergences with different slopes and displaying the high efficiencies and accuracies of the present iterative algorithms. All the three presently proposed RNBAs: (i) are easy to implement numerically, (ii) converge much faster than the Newton's method, (iii) do not involve the inversion of the Jacobian partial derivative F(i)/partial derivative x(j), (iv) are suitable for solving a large system of NAEs, and (v) are purely iterative in nature.

关键词： Nonlinear algebraic equations Non-Linear Ordinary Differential Equations Non-Linear Partial Differential Equations Residual-Norm Based algorithms (RNBAs) Fictitious time integration method (FTIM) iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

A numerical procedure to compute the stabilising solution of game theoretic Riccati equations of stochastic control

引用

INTERNATIONAL JOURNAL OF CONTROL 2011年第4期84卷 783-800页

作者： Dragan, Vasile Ivanov, Ivan Univ Sofia Fac Econ & Business Adm Sofia 1113 Bulgaria Romanian Acad Inst Math Simion Stoilow RO-014700 Bucharest Romania

In this article, the problem of the numerical computation of the stabilising solution of the game theoretic algebraic Riccati equation is investigated. The Riccati equation under consideration occurs in connection with the solution of the H-infinity control problem for a class of stochastic systems affected by state-dependent and control-dependent white noise and subjected to Markovian jumping. The stabilising solution of the considered game theoretic Riccati equation is obtained as a limit of a sequence of approximations constructed based on stabilising solutions of a sequence of algebraic Riccati equations of stochastic control with definite sign of the quadratic part. The proposed algorithm extends to this general framework the method proposed in Lanzon, Feng, Anderson, and Rotkowitz (Lanzon, A., Feng, Y., Anderson, B.D.O., and Rotkowitz, M. (2008), 'Computing the Positive Stabilizing Solution to Algebraic Riccati Equations with an Indefinite Quadratic Term Viaa Recursive Method,' IEEE Transactions on Automatic Control, 53, pp. 2280-2291). In the proof of the convergence of the proposed algorithm different concepts associated the generalised Lyapunov operators as stability, stabilisability and detectability are widely involved. The efficiency of the proposed algorithm is demonstrated by several numerical experiments.

关键词： game theoretic Riccati equations stabilising solution stochastic H-infinity iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations

引用

LINEAR & MULTILINEAR ALGEBRA 2011年第11期59卷 1281-1309页

作者： Dehghan, Mehdi Hajarian, Masoud Amirkabir Univ Technol Dept Appl Math Fac Math & Comp Sci Tehran 15914 Iran

A matrix P is called a symmetric orthogonal matrix if P = P-T = P-1. A matrix X is said to be a generalized bisymmetric with respect to P, if X = X-T = PXP. It is obvious that every symmetric matrix is a generalized bisymmetric matrix with respect to I (identity matrix). In this article, we establish two iterative algorithms for solving the system of generalized Sylvester matrix equations A(1)YB(1) + A(2)YB(2) + ... + A(l)YB(l) = M, C1YD1 + C2YD2 + ... + ClYDl = N, (including the Sylvester and Lyapunov matrix equations as special cases) over the generalized bisymmetric and skew-symmetric matrices, respectively. When this system is consistent over the generalized bisymmetric (skew-symmetric) matrix Y, firstly it is demonstrated that the first (second) algorithm can obtain a generalized bisymmetric (skew-symmetric) solution for any initial generalized bisymmetric (skew-symmetric) matrix. Secondly, by the first (second) algorithm, we can obtain the least Frobenius norm generalized bisymmetric (skew-symmetric) solution for special initial generalized bisymmetric (skew-symmetric) matrices. Moreover, it is shown that the optimal approximate generalized bisymmetric (skew-symmetric) solution of this system for a given generalized bisymmetric (skew-symmetric) matrix (Y) over cap can be derived by finding the least Frobenius norm generalized bisymmetric (skew-symmetric) solution of a new system of generalized Sylvester matrix equations. Finally, the iterative methods are tested with some numerical examples.

关键词： system of generalized Sylvester matrix equations generalized bisymmetric matrix skew-symmetric matrix iterative algorithm

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：