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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.

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

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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

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Iterative learning control: quantifying the effect of output noise

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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

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

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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

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Asymptotic preconditioning of linear homogeneous systems of differential equations

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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

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Powers of parametric interval uncertain matrix

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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

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

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

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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

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An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure

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linear algebra AND ITS applications 2011年第7期434卷 1677-1688页

作者： Bouhamidi, A. Jbilou, K. Reichel, L. Sadok, H. Kent State Univ Dept Math Kent OH 44242 USA Univ Littoral Lab Math Pures & Appl Ctr Univ Mi Voix F-62228 Calais France

This paper describes a new numerical method for the solution of large linear discrete ill-posed problems, whose matrix is a Kronecker product. Problems of this kind arise, for instance, from the discretization of Fredholm integral equations of the first kind in two space-dimensions with a separable kernel. The available data (right-hand side) of many linear discrete ill-posed problems that arise in applications is contaminated by measurement errors. Straightforward solution of these problems generally is not meaningful because of severe error propagation. We discuss how to combine the truncated singular value decomposition (TSVD) with reduced rank vector extrapolation to determine computed approximate solutions that are fairly insensitive to the error in the data. Exploitation of the structure of the problem keeps the computational effort quite small. (C) 2010 Elsevier Inc. All rights reserved.

关键词： Ill-posed problem Kronecker product Truncated singular value decomposition Vector extrapolation Truncation criterion

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Asymptotic preconditioning of linear homogeneous systems of differential equations

Asymptotic preconditioning of linear homogeneous systems of ...

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conference on linear and numerical linear algebra - theory, methods and applications

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

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

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Using desktop computers to solve large-scale dense linear algebra problems

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JOURNAL OF SUPERCOMPUTING 2011年第2期58卷 145-150页

作者： Marques, M. Quintana-Orti, G. Quintana-Orti, E. S. van de Geijn, R. Univ Jaime I Depto Ingn & Ciencia Comp Castellon de La Plana 12071 Spain Univ Texas Austin Dept Comp Sci Austin TX 78712 USA

We provide experimental evidence that current desktop computers feature enough computational power to solve large-scale dense linear algebra problems. While the high computational cost of the numerical methods for solving these problems can be tackled by the multiple cores of current processors, we propose to use the disk to store the large data structures associated with these applications. Our results also show that the limited amount of RAM and the comparatively slow disk of the system pose no problem for the solution of very large dense linear systems and linear least-squares problems. Thus, current desktop computers are revealed as an appealing, cost-effective platform for research groups that have to deal with large dense linear algebra problems but have no direct access to large computing facilities.

关键词： Dense linear algebra Out-of-core algorithms LU factorization High-performance computing

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