High Performance Algorithms for Structured Matrix Problems

High Performance Algorithms for Structured Matrix Problems PDF Author: Peter Arbenz
Publisher: Nova Publishers
ISBN: 9781560725947
Category : Business & Economics
Languages : en
Pages : 228

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Book Description
Comprises 10 contributions that summarize the state of the art in the areas of high performance solutions of structured linear systems and structured eigenvalue and singular-value problems. Topics covered range from parallel solvers for sparse or banded linear systems to parallel computation of eigenvalues and singular values of tridiagonal and bidiagonal matrices. Specific paper topics include: the stable parallel solution of general narrow banded linear systems; efficient algorithms for reducing banded matrices to bidiagonal and tridiagonal form; a numerical comparison of look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems; and parallel CG-methods automatically optimized for PC and workstation clusters. Annotation copyrighted by Book News, Inc., Portland, OR

High Performance Algorithms for Structured Matrix Problems

High Performance Algorithms for Structured Matrix Problems PDF Author: Peter Arbenz
Publisher: Nova Publishers
ISBN: 9781560725947
Category : Business & Economics
Languages : en
Pages : 228

Get Book Here

Book Description
Comprises 10 contributions that summarize the state of the art in the areas of high performance solutions of structured linear systems and structured eigenvalue and singular-value problems. Topics covered range from parallel solvers for sparse or banded linear systems to parallel computation of eigenvalues and singular values of tridiagonal and bidiagonal matrices. Specific paper topics include: the stable parallel solution of general narrow banded linear systems; efficient algorithms for reducing banded matrices to bidiagonal and tridiagonal form; a numerical comparison of look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems; and parallel CG-methods automatically optimized for PC and workstation clusters. Annotation copyrighted by Book News, Inc., Portland, OR

Mathematics and Computation

Mathematics and Computation PDF Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434

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Book Description
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Structured Matrices

Structured Matrices PDF Author: Dario Bini
Publisher: Nova Biomedical Books
ISBN:
Category : Mathematics
Languages : en
Pages : 222

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Book Description
Mathematicians from various countries assemble computational techniques that have developed and described over the past two decades to analyze matrices with structure, which are encountered in a wide variety of problems in pure and applied mathematics and in engineering. The 16 studies are on asymptotical spectral properties; algorithm design and analysis; issues specifically relating to structures, algebras, and polynomials; and image processing and differential equations. c. Book News Inc.

Structured Matrices in Mathematics, Computer Science, and Engineering II

Structured Matrices in Mathematics, Computer Science, and Engineering II PDF Author: Vadim Olshevsky
Publisher: American Mathematical Soc.
ISBN: 0821820923
Category : Mathematics
Languages : en
Pages : 362

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Book Description
"The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.

Parallel Program Development for Cluster Computing

Parallel Program Development for Cluster Computing PDF Author: José Cardoso Cunha
Publisher: Nova Publishers
ISBN: 9781560728658
Category : Computers
Languages : en
Pages : 402

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Book Description
The book is divided into two parts, the first one covering the concepts and methodologies, and the second describing the tools and integrated environments that were developed in those projects. In this way, we hope that the reader will find the book useful not only concerning an identification of current trends in parallel program development, but also concerning their practical illustration through concrete tools and environments.

Scientific Computing and Applications

Scientific Computing and Applications PDF Author: Peter Minev
Publisher: Nova Publishers
ISBN: 9781590330272
Category : Computers
Languages : en
Pages : 312

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Book Description
Scientific Computing & Applications

Functions of Matrices

Functions of Matrices PDF Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 0898717779
Category : Mathematics
Languages : en
Pages : 445

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Book Description
A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.

Parallel and Distributed Scientific and Engineering Computing

Parallel and Distributed Scientific and Engineering Computing PDF Author: Yi Pan
Publisher: Nova Publishers
ISBN: 9781590339565
Category : Computers
Languages : en
Pages : 240

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Book Description
In the not too distant future, every researcher and professional in science and engineering fields will have to understand parallel and distributed computing. With hyperthreading in Intel processors, hypertransport links in AMD processors, multi-core silicon in today's high-end microprocessors from IBM and emerging cluster and grid computing, parallel and distributed computers have moved into the mainstream of computing. To fully exploit these advances in computer architectures, researchers and professionals must start to design parallel or distributed software, systems and algorithms for their scientific and engineering applications. Parallel and distributed scientific and engineering computing has become a key technology which will play an important part in determining, or at least shaping, future research and development activities in many academic and industrial branches. This book reports on the recent important advances in the area of parallel and distributed computing for science and engineering applications. Included in the book are selected papers from prestigious workshops such as PACT-SHPSEC, IPDPS-PDSECA and ICPP-HPSECA together with some invited papers from prominent researchers around the world. The book is basically divided into five main sections. These chapters not only provide novel ideas, new experimental results and handful experience in this field, but also stimulate the future research activities in the area of parallel and distributed computing for science and engineering applications.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1608

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Book Description


Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators

Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators PDF Author: István Faragó
Publisher: Nova Publishers
ISBN: 9781590333761
Category : Mathematics
Languages : en
Pages : 424

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Book Description
Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications