检索结果-内蒙古大学图书馆

Performance Analysis of Parallel Eigensolvers of Two Libraries on BlueGene/P

Journal of Mathematics and System Science 2012年第4期2卷 231-236页

作者： Inge Gutheil Tommy Berg Johannes Grotendorst Institute for Advanced Simulation Jiilich Supercomputing Centre Jfilich D-52425 Germany

Many applications in computational science and engineering require the computation of eigenvalues and vectors of dense symmetric or Hermitian matrices. For example, in DFT （density functional theory） calculations on modern supercomputers 10% to 30% of the eigenvalues and eigenvectors of huge dense matrices have to be calculated. Therefore, performance and parallel scaling of the used eigensolvers is of upmost interest. In this article different routines of the linear algebra packages ScaLAPACK and Elemental for parallel solution of the symmetric eigenvalue problem are compared concerning their performance on the BlueGene/P supercomputer. Parameters for performance optimization are adjusted for the different data distribution methods used in the two libraries. It is found that for all test cases the new library Elemental which uses a two-dimensional element by element distribution of the matrices to the processors shows better performance than the old ScaLAPACK library which uses a block-cyclic distribution.

关键词： numerical linear algebra eigensolvers ScaLAPACK Elemental performance analysis.

来源：评论

学校读者我要写书评

暂无评论

applications of Lie groups and Lie algebra to computer vision: A brief survey

Applications of Lie groups and Lie algebra to computer visio...

引用

International conference on Systems and Informatics (ICSAI)

作者： Qiang Xu Dengwu Ma Department of Ordnance Science and Technology Naval Aeronautical and Astronautical University Yantai China

Recent years an extensive literature appears using the Lie groups theory to solve the problems of computer vision. Lie groups theory is the natural representation of a space of transformations. Lie algebra is the tangent space of Lie groups at the identity. From Lie groups to Lie algebra, we can establish a mapping from the multiplicative structure to an equivalent vector space representation, which makes correlation calculation become rational and precise. Based on the linear structure of Lie algebra, many statistical learning methods can be readily applied. This survey briefly reviews the different approaches about the use of Lie groups theory that have been developed by research; introducing the mathematical background of Lie groups theory corresponding to computer vision; describing the main approaches in details according two categories.

关键词： Vectors Manifolds Computer vision Generators Transforms Vehicles

来源：评论

学校读者我要写书评

暂无评论

Abstract: Gossip-Based Distributed Matrix Computations

Abstract: Gossip-Based Distributed Matrix Computations

引用

High Performance Computing, Networking, Storage and Analysis (SCC), SC Companion:

作者： Hana Strakova Wilfried N. Gansterer Research Group Theory and Applications of Algorithms University of Vienna Austria

We investigate randomized distributed algorithms for matrix computations over loosely coupled distributed systems, such as P2P networks or sensor networks. In this poster, we discuss orthogonalization methods and orthogonal iteration. These algorithms are very well understood in the sequential or in the classical parallel context, and they are important building blocks for many algorithms in numerical linear algebra.

关键词：

来源：评论

学校读者我要写书评

暂无评论

Computation of null controllable regions for antistable linear systems subject to input saturation: an iterative approach

引用

IET CONTROL theory AND applications 2011年第5期5卷 744-749页

作者： Corradini, M. L. Cristofaro, A. Giannoni, F. Univ Camerino Sch Sci & Technol I-62032 Camerino Italy

In this study an alternative characterisation of the null controllable region for linear systems subject to input saturation with strictly positive real eigenvalues is proposed. First an outer estimate of the null con... 详细信息

关键词： iterative approach linear systems eigenvalues and eigenfunctions controllability input saturation positive real eigenvalues null controllable regions linear algebra (numerical analysis) Control system analysis and synthesis methods iterated convexification technique Interpolation and function approximation (numerical analysis) iterative methods antistable linear systems

来源：评论

学校读者我要写书评

暂无评论

Iterative learning control: quantifying the effect of output noise

引用

IET CONTROL theory AND applications 2011年第2期5卷 379-388页

作者： Owens, D. H. Liu, S. Univ Sheffield Automat Control & Syst Engn Dept Sheffield S1 3JD S Yorkshire England

Fixed parameter iterative learning control (ILC) for linear-time invariant, single-input single-output systems subject to output noise is analysed with the intent of predicting the expectation of the underlying 'noise-free' mean square error (Euclidean norm) of the time series on each iteration. Explicit formulae are obtained in terms of the 'lifted' matrix models of the plant. Computational experiments are used to confirm the correctness of the proposed properties. Finally, frequency domain formulae are derived to provide insight into links between plant characteristics, noise spectra and other ILC parameters, and illustrated by application to the inverse-model-based ILC algorithm.

关键词： Learning in AI time series Interpolation and function approximation (numerical analysis) frequency-domain analysis noise spectra output noise linear-time invariant linear algebra (numerical analysis) matrix models single-input single-output systems iterative learning control mean square error methods learning (artificial intelligence) mean square error frequency domain formulae matrix algebra iterative methods

来源：评论

学校读者我要写书评

暂无评论

Existence of a common quadratic Lyapunov function for discrete switched linear systems with m stable subsystems

引用

IET CONTROL theory AND applications 2011年第3期5卷 535-537页

作者： Sun, C. Fang, B. Huang, W. Harbin Inst Technol Sch Astronaut Harbin 150001 Peoples R China Shenyang Jianzhu Univ Sch Sci Shenyang 110168 Peoples R China

The problem on the existence of a common quadratic Lyapunov function (CQLF) for discrete switched linear systems with m stable subsystems is considered. System matrices are Schur stable. A necessary condition for the existence of a CQLF and a sufficient condition for the non-existence of a CQLF are derived, respectively. numerical examples are presented to illustrate the results.

关键词： linear systems discrete switched linear system Discrete control systems stability Stability in control theory algebra common quadratic Lyapunov function Schur stable system matrix Lyapunov methods m stable subsystem discrete systems matrix algebra

来源：评论

学校读者我要写书评

暂无评论

Asymptotic preconditioning of linear homogeneous systems of differential equations

引用

linear algebra AND ITS applications 2011年第7期434卷 1631-1637页

作者： Trench, William F. Trinity Univ San Antonio TX 78212 USA

We consider the asymptotic behavior of solutions of a linear differential system x ' = A(t)x, where A is continuous on an interval la, DC)). We are interested in the situation where the system may not have a desirable asymptotic property such as stability, strict stability, uniform stability, or linear asymptotic equilibrium, but its solutions can be written as x = Pu, where P is continuously differentiable on la, infinity) and u is a solution of a system u ' = B(t)u that has the property in question. In this case we say that P preconditions the given system for the property in question. (C) 2010 Elsevier Inc. All rights reserved.

关键词： Asymptotic behavior linear differential system Llinear asymptotic equilibrium Strictly stable Uniformly stable

来源：评论

学校读者我要写书评

暂无评论

Robust stability for discrete-time uncertain singular Markov jump systems with actuator saturation

引用

IET CONTROL theory AND applications 2011年第2期5卷 255-262页

作者： Ma, S. Zhang, C. Zhu, S. Shandong Univ Sch Math Jinan 250100 Peoples R China Shandong Univ Sch Control & Engn Jinan 250061 Peoples R China

In this study, the robust stochastic stability problem for discrete-time uncertain singular Markov jump systems with actuator saturation is considered. A sufficient condition that guarantees that the discrete-time singular Markov jump systems with actuator saturation is regular, causal and stochastically stable is established. With this condition, for full and partial knowledge of transition probabilities cases, the design of robust state feedback controller is developed based on linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed methods.

关键词： linear matrix inequality approach transition probabilities cases control system synthesis Stability in control theory actuator saturation Control system analysis and synthesis methods Actuating and final control devices LMI state feedback stochastic stability robust control linear algebra (numerical analysis) robust state feedback controller design uncertain systems linear matrix inequalities Discrete control systems Markov processes robust stochastic stability problem discrete-time uncertain singular Markov jump systems actuators discrete time systems asymptotic stability

来源：评论

学校读者我要写书评

暂无评论

Powers of parametric interval uncertain matrix

引用

IET CONTROL theory AND applications 2011年第3期5卷 523-534页

作者： Ahn, H. -S. GIST Sch Mechatron Kwangju 500712 South Korea

This study addresses methods for finding lower and upper boundaries of powers of parametric interval uncertain matrix. Two results are presented. As the first result, a method to find the exact lower and upper boundaries of powers of single-parametric interval matrix is established. As the second result, the lower and upper boundaries of powers of general interval matrix are evaluated. Three numerical examples and one application example are presented to validate the method and analysis proposed in this study.

关键词： linear algebra (numerical analysis) boundary-value problems algebra, set theory, and graph theory matrix algebra parametric interval uncertain matrix general interval matrix

来源：评论

学校读者我要写书评

暂无评论

A dynamic input-output work capacity model for a group of agents

A dynamic input-output work capacity model for a group of ag...

引用

IEEE International conference on Teaching, Assessment and Learning for Engineering (TALE)

作者： Emmanuel A. Gonzalez College of Computer Studies De La Salle University Manila Philippines

Work capacity models are very important tool in profiling a person against a defined set of competencies usually related to knowledge and skills, and the person's physical and behavioral characteristics and constraints. In the case of an engineering student, for example, these set of competencies may be defined by a mentor or adviser such as, but are not limited to: knowledge on certain theoretical and practical aspects, skills in analyzing and designing engineering systems, leadership skills, and team-work, for example. Physical and behavioral characteristics, on the other hand, would depend on the person being assessed and various methods are also available in literature. However, work capacity models available in literature suffer from various drawbacks such as: 1) they do not reflect the fact that work capacity vary with time and external conditions; and 2) work capacity models are usually used to describe a single agent and not on a group of agents. In order to be able to include these drawbacks and convert them as added features, a dynamic input-output model describing the work capacity of a group of agents is devised using simple linear algebra and system theory concepts. We show that such models could be utilized in the academe in assessing the net work capacity (NWC) of a group of student working on a thesis topic, or even in the industry in assessing the NWC of a certain group of employees in a department, for example.

关键词： Vectors Equations Mathematical model Barium Biological system modeling numerical models Educational institutions

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：