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Parallelism in Matrix Computations, Efstratios Gallopoulos; Bernard Philippe; Ahmed H.


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Автор: Efstratios Gallopoulos; Bernard Philippe; Ahmed H.
Название:  Parallelism in Matrix Computations
ISBN: 9789401771870
Издательство: Springer
Классификация: ISBN-10: 9401771871
Обложка/Формат: Hardcover
Страницы: 473
Вес: 0.87 кг.
Дата издания: 12.08.2015
Серия: Scientific Computation
Язык: English
Размер: 234 x 156 x 27
Читательская аудитория: Students
Основная тема: Mathematical and Computational Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

List of Figures.- List of Tables.- List of Algorithms.- Notations used in the book.- Part I Basics.- Parallel Programming Paradigms.- Computational Models.- Principles of parallel programming.- Fundamental kernels.- Vector operations.- Higher level BLAS.- General organization for dense matrix factorizations.- Sparse matrix computations.- Part II Dense and special matrix computations.- Recurrences and triangular systems.- Definitions and examples.- Linear recurrences.- Implementations for a given number of processors.- Nonlinear recurrences.- General linear systems.- Gaussian elimination.- Pair wise pivoting.- Block LU factorization.- Remarks.- Banded linear systems.- LUbased schemes with partial pivoting.- The Spike family of algorithms.- The Spike balance scheme.- A tearing based banded solver.- Tridiagonal systems.- Special linear systems.- Vandermonde solvers.- Banded Toeplitz linear systems solvers.- Symmetric and Anti symmetric Decomposition (SAS).- Rapid elliptic solvers.- Orthogonal factorization and linear least squares problems.- Definitions.- QR factorization via Givens rotations.- QR factorization via Householder reductions.- Gram Schmidt orthogonalization.- Normal equations vs. orthogonal reductions.- Hybrid algorithms when m>n.- Orthogonal factorization of block angular matrices.- Rank deficient linear least squares problems.- The symmetric eigenvalue and singular value problems.- The Jacobi algorithms.- Tridiagonalization based schemes.- Bidiagonalization via Householder reduction.- Part III Sparse matrix computations.- Iterative schemes for large linear systems.- An example.- Classical splitting methods.- Polynomial methods.- Preconditioners.- A tearing based solver for generalized banded preconditioners.- Row projection methods for large non symmetric linear systems.- Multiplicative Schwarz preconditioner with GMRES.- Large symmetric eigenvalue problems.- Computing dominant eigenpairs and spectral transformations.- The Lanczos method.- A block Lanczos approach for solving symmetric perturbed standard eigenvalue problems.- The Davidson methods.- The trace minimization method for the symmetric generalized eigenvalue problem.- The sparse singular value problem.- Part IV Matrix functions and characteristics.- Matrix functions and the determinant.- Matrix functions.- Determinants.- Computing the matrix pseudospectrum.- Grid based methods.- Dimensionality reduction on the domain: Methods based on path following.- Dimensionality reduction on the matrix: Methods based on projection.- Notes.- References.




Engineering and Scientific Computations Using MATLAB

Автор: Sergey E. Lyshevski
Название: Engineering and Scientific Computations Using MATLAB
ISBN: 0471462004 ISBN-13(EAN): 9780471462002
Издательство: Wiley
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Цена: 11637.00 р. 16624.00 -30%
Наличие на складе: Есть (1 шт.)
Описание: Helps readers understand the MATLAB environment, build their skills, and apply its features to a range of applications. This book guides readers through the most important aspects and basics of MATLAB programming and problem-solving from fundamentals to practice.

Error-Free Polynomial Matrix Computations

Автор: E.V. Krishnamurthy
Название: Error-Free Polynomial Matrix Computations
ISBN: 1461295726 ISBN-13(EAN): 9781461295723
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This book is written as an introduction to polynomial matrix computa- tions. This book is intended for seniors and graduate students in computer and system sciences, and mathematics, and for researchers in the fields of computer science, numerical analysis, systems theory, and computer algebra.

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

Автор: Michele Benzi; Dario Bini; Daniel Kressner; Hans M
Название: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
ISBN: 331949886X ISBN-13(EAN): 9783319498867
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Focusing on special matrices and matrices which are in some sense `near` to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra.

Optimum Aerodynamic Design & Parallel Navier-Stokes Computations ECARP — European Computational Aerodynamics Research Project

Автор: Jacques Periaux; Stephane Lanteri; Panagiotis Chav
Название: Optimum Aerodynamic Design & Parallel Navier-Stokes Computations ECARP — European Computational Aerodynamics Research Project
ISBN: 3322901955 ISBN-13(EAN): 9783322901958
Издательство: Springer
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Цена: 16979.00 р.
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Описание: This volume entitled "European Computational Aerodynamics Research Project (ECARP)" contains the contributions of partners presented in two work- shops focused on the following areas: Task 3 on Optimum Design and Task 4.2 on Navier Stokes Flow algorithms on Massively Parallel Processors. ECARP has been supported by the European Union (EU) through the Indus- trial and Materials Technology Programme, Area 3 Aeronautics, with the Third Research Framework Programme (1990-1994). Part A of this volume is focused on computational constrained optimization as a follow up of the EU research project" Optimum Design in Aerodynamics," (AERO-S9-0026) dealing with more viscous flow based real applications. It pro- vides the reader with a set of optimization tools and referenced data useful in modern aerodynamic design. Task 3 of the project entitled "Optimum Design" brought together 13 Euro- pean partners from the academic and industrial aeronautic oriented community showing state of the art expertise in traditional automated optimization software on current computer technology to improve the capability to optimize aircraft shapes.

Matrix Computations on Systolic-Type Arrays

Автор: Jaime Moreno; Tom?s Lang
Название: Matrix Computations on Systolic-Type Arrays
ISBN: 1461366046 ISBN-13(EAN): 9781461366041
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Matrix Computations on Systolic-Type Arrays provides a framework which permits a good understanding of the features and limitations of processor arrays for matrix algorithms.

Numerical Methods in Matrix Computations

Автор: ?ke Bj?rck
Название: Numerical Methods in Matrix Computations
ISBN: 3319356143 ISBN-13(EAN): 9783319356143
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems.

Numerical methods in matrix computations

Автор: Bjorck, Ake
Название: Numerical methods in matrix computations
ISBN: 3319050885 ISBN-13(EAN): 9783319050881
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Numerical Methods in Matrix Computations

Parallelism in Matrix Computations

Автор: Efstratios Gallopoulos; Bernard Philippe; Ahmed H.
Название: Parallelism in Matrix Computations
ISBN: 9402403175 ISBN-13(EAN): 9789402403176
Издательство: Springer
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Цена: 13059.00 р.
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Описание:

This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations.

It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms.

The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded, Vandermonde, Toeplitz, and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike.

The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.

Parallel Evolutionary Computations

Автор: Enrique Alba
Название: Parallel Evolutionary Computations
ISBN: 3642069398 ISBN-13(EAN): 9783642069390
Издательство: Springer
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Цена: 23757.00 р.
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Описание: This book focuses on the aspects related to the parallelization of evolutionary computations, such as parallel genetic operators, parallel fitness evaluation, distributed genetic algorithms, and parallel hardware implementations, as well as on their impact on several applications.

Applied Parallel Computing. Computations in Physics, Chemistry and Engineering Science

Автор: Jack Dongarra; Kaj Madsen; Jerzy Wasniewski
Название: Applied Parallel Computing. Computations in Physics, Chemistry and Engineering Science
ISBN: 3540609024 ISBN-13(EAN): 9783540609025
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Presenting the proceedings of this international workshop, this text discusses the co-operation of different scientific communities in computational science, concentrating especially on many widely-used numerical algorithms and their applications on parallel computers.

Parallel Processes and Related Automata / Parallele Prozesse und damit zusammenh?ngende Automaten

Автор: W. Kn?del; Hans Juergen Schneider
Название: Parallel Processes and Related Automata / Parallele Prozesse und damit zusammenh?ngende Automaten
ISBN: 3211816062 ISBN-13(EAN): 9783211816066
Издательство: Springer
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Цена: 12157.00 р.
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Adjustment Computations: Spatial Data Analysis, 5th Edition

Автор: Charles D. Ghilani
Название: Adjustment Computations: Spatial Data Analysis, 5th Edition
ISBN: 0470464917 ISBN-13(EAN): 9780470464915
Издательство: Wiley
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Цена: 23760.00 р.
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Описание: the complete guide to adjusting for measurement error—expanded and updated no measurement is ever exact. Adjustment Computations updates a classic, definitive text on surveying with the latest methodologies and tools for analyzing and adjusting errors with a focus on least squares adjustments, the most rigorous methodology available and the one on which accuracy standards for surveys are based. This extensively updated Fifth Edition shares new information on advances in modern software and GNSS-acquired data. Expanded sections offer a greater amount of computable problems and their worked solutions, while new screenshots guide readers through the exercises. Continuing its legacy as a reliable primer, Adjustment Computations covers the basic terms and fundamentals of errors and methods of analyzing them and progresses to specific adjustment computations and spatial information analysis. Current and comprehensive, the book features: •Easy-to-understand language and an emphasis on real-world applications •Analyzing data in three dimensions, confidence intervals, statistical testing, and more •An updated support web page containing a 150-page solutions manual, software (STATS, ADJUST, and MATRIX for Windows computers), MathCAD worksheets, and more at http://www.wiley.com/college/ghilani •The latest information on advanced topics such as the tau criterion used in post-adjustment statistical blunder detection Adjustment Computations, Fifth Edition is an invaluable reference and self-study resource for working surveyors, photogrammetrists, and professionals who use GNSS and GIS for data collection and analysis, including oceanographers, urban planners, foresters, geographers, and transportation planners. It's also an indispensable resource for students preparing for licensing exams and the ideal textbook for courses in surveying, civil engineering, forestry, cartography, and geology.


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