检索结果-内蒙古大学图书馆

linear algebra: Ideas and applications

2008年

作者： Richard C Penney

ISBN: (纸本)9780470178843

This expanded new edition presents a thorough and up-to-date introduction to the study of linear algebra linear algebra, Third Edition provides a unified introduction to linear algebra while reinforcing and emphasizing a conceptual and hands-on understanding of the essential ideas. Promoting the development of intuition rather than the simple application of methods, the book successfully helps readers to understand not only how to implement a technique, but why its use is important. The book outlines an analytical, algebraic, and geometric discussion of the provided definitions, theorems, and proofs. For each concept, an abstract foundation is presented together with its computational output, and this parallel structure clearly and immediately illustrates the relationship between the theory and its appropriate applications. The Third Edition also features: * A new chapter on generalized eigenvectors and chain bases with coverage of the Jordan form and the Cayley-Hamilton theorem * A new chapter on numerical techniques, including a discussion of the condition number * A new section on Hermitian symmetric and unitary matrices * An exploration of computational approaches to finding eigenvalues, such as the forward iteration, reverse iteration, and the QR method * Additional exercises that consist of application, numerical, and conceptual questions as well as true-false questions Illuminating applications of linear algebra are provided throughout most parts of the book along with self-study questions that allow the reader to replicate the treatments independently of the book. Each chapter concludes with a summary of key points, and most topics are accompanied by a "Computer Projects" section, which contains worked-out exercises that utilize the most up-to-date version of MATLAB(r). A related Web site features Maple translations of these exercises as well as additional supplemental material. linear algebra, Third Edition is an excellent undergraduate-level textbook for c

关键词：

来源：评论

学校读者我要写书评

暂无评论

Computational Approach to Essential and Nonessential Objective Functions in linear Multicriteria Optimization

引用

JOURNAL OF OPTIMIZATION theory AND applications 2008年第3期139卷 577-590页

作者： Malinowska, A. B. Torres, D. F. M. Bialystok Tech Univ Fac Comp Sci Bialystok Poland Univ Aveiro Dept Math P-3800 Aveiro Portugal

The question of obtaining well-defined criteria for multiple-criteria decision making problems is well known. One of the approaches dealing with this question is the concept of nonessential objective functions. A certain objective function is called nonessential if the set of efficient solutions is the same with or without that objective function. We present two methods for determining nonessential objective functions. A computational implementation is done using a computer algebra system.

关键词： Multiobjective optimization problems Efficient (Pareto optimal) solutions Essential nonessential objective functions

来源：评论

学校读者我要写书评

暂无评论

A Bayesian approach to 3D object recognition using linear combination of 2D views

A Bayesian approach to 3D object recognition using linear co...

引用

3rd International conference on Computer Vision theory and applications

作者： Zografos, Vasileios Buxton, Bernard F. UCL Dept Comp Sci London WC1E 6BT England

ISBN: (纸本)9789898111210

We introduce Bayes priors into a recent pixel-based, linear combination of views object recognition technique. Novel views of an object are synthesized and matched to the target scene image using numerical optimisation. Experiments on a real-image, public database with the use of two different optimisation methods indicate that the priors effectively regularize the error surface and lead to good performance in both cases. Further exploration of the parameter space has been carried out using Markov Chain Monte Carlo sampling.

关键词： object recognition linear combination of views Bayes Markov-Chain Monte-Carlo

来源：评论

学校读者我要写书评

暂无评论

SimBIL: appearance-based simulation of burst-illumination laser sequences

引用

IET IMAGE PROCESSING 2008年第3期2卷 165-174页

作者： Nayak, A. Trucco, E. Ahmad, A. Wallace, A. M. Heriot Watt Univ Sch Engn & Phys Sci ERP Joint Res Inst Signal & Image Proc Edinburgh EH14 4AS Midlothian Scotland Univ Dundee Sch Comp Dundee DD1 4HN Scotland

A novel appearance-based simulator of burst illumination laser sequences, SimBIL, is presented and the sequences it generates are compared with those of a physical model-based simulator that the authors have developed concurrently. SimBIL uses a database of 3D, geometric object models as faceted meshes, and attaches example-based representations of material appearances to each model surface. The representation is based on examples of intensity - time profiles for a set of orientations and materials. The dimensionality of the large set of pro. le examples (called a pro. le eigenspace) is reduced by principal component analysis. Depth and orientation of the model facets are used to simulate time gating, deciding which object parts are imaged for every frame in the sequence. Model orientation and material type are used to index the pro. le eigenspaces and assign an intensity - time profile to frame pixels. To assess comparatively the practical merit of SimBIL sequences, the authors compare range images reconstructed by a reference algorithm using sequences from SimBIL, from the physics-based simulator, and real BIL sequences.

关键词： image representation linear algebra (numerical analysis) SimBIL intensity-time profile profile eigenspace image reconstruction appearance-based simulation faceted mesh Laser beam characteristics and interactions Computer vision and image processing techniques burst-illumination laser sequence Optical, image and video signal processing image sequences eigenvalues and eigenfunctions principal component analysis Laser beam interactions and properties Image processing and restoration Laser applications algebra, set theory, and graph theory Probability theory, stochastic processes, and statistics optical images geometric object model measurement by laser beam laser beams Other topics in statistics

来源：评论

学校读者我要写书评

暂无评论

Non-causal Fliess operators and their shuffle algebra

Non-causal Fliess operators and their shuffle algebra

引用

Workshop in Honor of the 60th Birthday of Michael Fliess

作者： Gray, W. S. Wang, Y. Old Dominion Univ Dept Comp Sci Norfolk VA 23529 USA Florida Atlantic Univ Dept Math Sci Boca Raton FL 33431 USA

Fliess operators as a class of non-linear operators have been well studied in several respects. They have a well developed realization theory and convenient representations in terms of directed infinite products of exponential Lie series. Their interconnection as subsystems has been studied, as has their relationship to rational systems. They find applications in such diverse areas as discretization methods for controls systems, optimal control, neural network analysis, and the numerical solution of stochastic differential equations. One issue concerning Fliess operators, however, that has received little attention is their possible generalization to the non-causal case. Examples of such operators appear implicitly in the literature addressing Hilbert adjoints of causal non-linear operators and system inversion for the purpose of output tracking. But a general, systematic treatment of the subject has not appeared. In this paper, a non-causal extension of a Fliess operator is developed with the primary focus being on local convergence, continuity, the associated shuffle algebra, and computing adjoint operators.

关键词： algebra

来源：评论

学校读者我要写书评

暂无评论

A parallel approach for a block tri-diagonal solver in fusion simulation

A parallel approach for a block tri-diagonal solver in fusio...

引用

2008 International conference on Parallel and Distributed Processing Techniques and applications, PDPTA 2008

作者： Yang, Huiqing H. Sanchez, Raul Lynch, Vickie Fusion, Steven Hirshman Department of Math and Computer Science Virginia State University Petersburg VA 23806 United States Energy Division Oak Ridge National Laboratory Oak Ridge TN United States

ISBN: (纸本)1601320841

Simulations of fusion experiments provide important support for fusion experiments. Up to date, the study of fusion experiments has been focused on numerical methods by means of computing power. However, the accurate numerical method has always been a major issue. Based on a Scalable Island Equilibrium Solver for Toroidal Application (SIESTA), an algorithm for solving a huge tri- diagonal system is introduced in this paper. The main effort of the paper is placed on studying the computation of a huge tri-diagonal matrix in parallel. A parallel approach is investigated, in which a mapping is defined. The approach guarantees each different matrix block is associated with a unique processor. By means of Basic linear algebra Communication Subprograms (BLACS) and Message Passing Interface (MPI), the parallel approach is implemented on the Jaguar supercomputer. The numerical results and efficiency analysis are provided.

关键词： numerical methods

来源：评论

学校读者我要写书评

暂无评论

Simulate the State Changing of a Descriptor System in (Almost) Zero Time Using the Normal Probability Distribution

Simulate the State Changing of a Descriptor System in (Almos...

引用

International conference on Computer Modeling and Simulation, UKSIM

作者： Grigoris I. Kalogeropoulos Athanasios A. Karageorgos Athanasios A. Pantelous Department of Mathematics University of Athens (NKUA) Greece School of Engineering and Mathematical Sciences City University UK

In number of control applications, the ability of manipulate the state vector from the input is more than vital. Thus, in the present paper, we develop analytically a methodology for the state changing of a linear control descriptor differential system based also on a linear combination of Dirac δ-function and its derivatives. Using linear algebra techniques and the generalized inverse theory, the input’s coefficients are determined. In our practical numerical application, the Dirac distribution is approximated by the normal probability distribution.

关键词： Probability distribution Vectors Computational modeling Computer simulation Distributed computing Mathematical model Mathematics Control systems linear algebra Control system synthesis

来源：评论

学校读者我要写书评

暂无评论

On sparse representations of linear operators and the approximation of matrix products

On sparse representations of linear operators and the approx...

引用

Annual conference on Information Sciences and Systems (CISS)

作者： Mohamed-Ali Belabbas Patrick J. Wolfe School of Engineering and Applied Sciences Department of Statistics Harvard University Cambridge MA USA

Thus far, sparse representations have been exploited largely in the context of robustly estimating functions in a noisy environment from a few measurements. In this context, the existence of a basis in which the signal class under consideration is sparse is used to decrease the number of necessary measurements while controlling the approximation error. In this paper, we instead focus on applications in numerical analysis, by way of sparse representations of linear operators with the objective of minimizing the number of operations needed to perform basic operations (here, multiplication) on these operators. We represent a linear operator by a sum of rank-one operators, and show how a sparse representation that guarantees a low approximation error for the product can be obtained from analyzing an induced quadratic form. This construction in turn yields new algorithms for computing approximate matrix products.

关键词： Sparse matrices Approximation error Matrix decomposition Kernel Sampling methods Robustness Working environment noise numerical analysis linear algebra Constraint optimization

来源：评论

学校读者我要写书评

暂无评论

A fast full multigrid solver for applications in image processing

引用

numerical linear algebra WITH applications 2008年第2-3期15卷 187-200页

作者： Stuermer, M. Koestler, H. Ruede, U. Univ Erlangen Nurnberg Dept Comp Sci D-91058 Erlangen Germany

We present a fast, cell-centered multigrid solver and apply it to image denoising and non-rigid diffusion-based image registration. In both applications, real-time performance is required in 3D and the multigrid method has to be compared with solvers based on fast Fourier transform (FFT). The optimization of the underlying variational approach results for image denoising directly in one time step of a parabolic linear heat equation, for image registration a non-linear second-order system of partial differential equations is obtained. This system is solved by a fixpoint iteration using a semi-implicit time discretization, where each time step again results in an elliptic linear heat equation. The multigrid implementation comes close to real-time performance for medium size medical images in 3D for both applications and is compared with a solver based on FFT using available libraries. Copyright (c) 2007 John Wiley & Sons, Ltd.

关键词： multigrid performance optimization FFT image processing image registration image denoising

来源：评论

学校读者我要写书评

暂无评论

Non-causal Fliess operators and their shuffle algebra

引用

INTERNATIONAL JOURNAL OF CONTROL 2008年第3期81卷 342-355页

作者： Gray, W. S. Wang, Y. Old Dominion Univ Dept Comp Sci Norfolk VA 23529 USA Florida Atlantic Univ Dept Math Sci Boca Raton FL 33431 USA

关键词：

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：