Parallel Algorithms for Linear Models

Parallel Algorithms for Linear Models PDF Author: Erricos Kontoghiorghes
Publisher: Springer Science & Business Media
ISBN: 9780792377207
Category : Business & Economics
Languages : en
Pages : 216

Get Book Here

Book Description
Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems. The monograph is in two parts. The first part consists of four chapters and deals with the computational aspects for solving linear models that have applicability in diverse areas. The remaining two chapters form the second part, which concentrates on numerical and computational methods for solving various problems associated with seemingly unrelated regression equations (SURE) and simultaneous equations models. The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and computational methods in statistics and econometrics, parallel numerical algorithms, parallel computing and numerical linear algebra. The aim of this monograph is to promote research in the interface of econometrics, computational statistics, numerical linear algebra and parallelism.

Parallel Algorithms for Linear Models

Parallel Algorithms for Linear Models PDF Author: Erricos Kontoghiorghes
Publisher: Springer Science & Business Media
ISBN: 9780792377207
Category : Business & Economics
Languages : en
Pages : 216

Get Book Here

Book Description
Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems. The monograph is in two parts. The first part consists of four chapters and deals with the computational aspects for solving linear models that have applicability in diverse areas. The remaining two chapters form the second part, which concentrates on numerical and computational methods for solving various problems associated with seemingly unrelated regression equations (SURE) and simultaneous equations models. The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and computational methods in statistics and econometrics, parallel numerical algorithms, parallel computing and numerical linear algebra. The aim of this monograph is to promote research in the interface of econometrics, computational statistics, numerical linear algebra and parallelism.

Parallel Algorithms for Linear Models

Parallel Algorithms for Linear Models PDF Author: Erricos Kontoghiorghes
Publisher:
ISBN: 9781461545729
Category :
Languages : en
Pages : 204

Get Book Here

Book Description


Parallel Algorithms for Numerical Linear Algebra

Parallel Algorithms for Numerical Linear Algebra PDF Author: H. van der Vorst
Publisher: Elsevier
ISBN: 1483295737
Category : Computers
Languages : en
Pages : 341

Get Book Here

Book Description
This is the first in a new series of books presenting research results and developments concerning the theory and applications of parallel computers, including vector, pipeline, array, fifth/future generation computers, and neural computers.All aspects of high-speed computing fall within the scope of the series, e.g. algorithm design, applications, software engineering, networking, taxonomy, models and architectural trends, performance, peripheral devices.Papers in Volume One cover the main streams of parallel linear algebra: systolic array algorithms, message-passing systems, algorithms for parallel shared-memory systems, and the design of fast algorithms and implementations for vector supercomputers.

New Parallel Algorithms for Direct Solution of Linear Equations

New Parallel Algorithms for Direct Solution of Linear Equations PDF Author: C. Siva Ram Murthy
Publisher: Wiley-Interscience
ISBN:
Category : Computers
Languages : en
Pages : 192

Get Book Here

Book Description
"Rather than parallelizing sequential algorithms, the authors develop new back-substitution free parallel algorithms, using a bidirectional elimination technique for the solution of both dense and sparse linear equations. They provide full coverage of bidirectional parallel algorithms based on Gaussian elimination, LU factorization, Householder reductions and modified Gram-Schmidt orthogonalization, Givens rotations, sparse Cholesky factorization, and sparse factorization, clearly demonstrating how the bidirectional approach allows for improved speedup, numerical stability, and efficient implementation on multiprocessor systems." "Plus, the book offers a useful survey of the vast literature on direct methods, introductory material on solving systems of linear equations, and exercises. It is an invaluable resource for computer scientists, researchers in parallel linear algebra, and anyone with an interest in parallel programming."--BOOK JACKET.

Some Parallel Algorithms for Linear Model Based Integer Parameter Estimation

Some Parallel Algorithms for Linear Model Based Integer Parameter Estimation PDF Author: Shilei Lin
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Get Book Here

Book Description
"In some applications, such as wireless communications and Global Positioning Systems (GPS), etc., one needs to estimate the integer-valued parameter vector in a linear model with additive Gaussian noise.In real-time applications, in addition to the accuracy of estimators,the efficiency of estimation algorithms is crucial.To fully utilize modern parallel hardware such as omnipresent multicore processors, this thesis proposes some parallel algorithms to estimate the integer-valued parameter vectors in various linear models. Our parallel algorithms are based on asynchronous iterations.Numerical results are given to illustrate our algorithms' effectiveness, efficiency, and accuracy"--

Parallel Algorithms

Parallel Algorithms PDF Author: Henri Casanova
Publisher: CRC Press
ISBN: 1584889462
Category : Computers
Languages : en
Pages : 360

Get Book Here

Book Description
Focusing on algorithms for distributed-memory parallel architectures, Parallel Algorithms presents a rigorous yet accessible treatment of theoretical models of parallel computation, parallel algorithm design for homogeneous and heterogeneous platforms, complexity and performance analysis, and essential notions of scheduling. The book extract

Parallel Algorithms

Parallel Algorithms PDF Author: M H Alsuwaiyel
Publisher: World Scientific
ISBN: 9811252998
Category : Computers
Languages : en
Pages : 400

Get Book Here

Book Description
This book is an introduction to the field of parallel algorithms and the underpinning techniques to realize the parallelization. The emphasis is on designing algorithms within the timeless and abstracted context of a high-level programming language. The focus of the presentation is on practical applications of the algorithm design using different models of parallel computation. Each model is illustrated by providing an adequate number of algorithms to solve some problems that quite often arise in many applications in science and engineering.The book is largely self-contained, presuming no special knowledge of parallel computers or particular mathematics. In addition, the solutions to all exercises are included at the end of each chapter.The book is intended as a text in the field of the design and analysis of parallel algorithms. It includes adequate material for a course in parallel algorithms at both undergraduate and graduate levels.

Introduction to Parallel Algorithms

Introduction to Parallel Algorithms PDF Author: C. Xavier
Publisher: John Wiley & Sons
ISBN: 9780471251828
Category : Computers
Languages : en
Pages : 388

Get Book Here

Book Description
Parallel algorithms Made Easy The complexity of today's applications coupled with the widespread use of parallel computing has made the design and analysis of parallel algorithms topics of growing interest. This volume fills a need in the field for an introductory treatment of parallel algorithms-appropriate even at the undergraduate level, where no other textbooks on the subject exist. It features a systematic approach to the latest design techniques, providing analysis and implementation details for each parallel algorithm described in the book. Introduction to Parallel Algorithms covers foundations of parallel computing; parallel algorithms for trees and graphs; parallel algorithms for sorting, searching, and merging; and numerical algorithms. This remarkable book: * Presents basic concepts in clear and simple terms * Incorporates numerous examples to enhance students' understanding * Shows how to develop parallel algorithms for all classical problems in computer science, mathematics, and engineering * Employs extensive illustrations of new design techniques * Discusses parallel algorithms in the context of PRAM model * Includes end-of-chapter exercises and detailed references on parallel computing. This book enables universities to offer parallel algorithm courses at the senior undergraduate level in computer science and engineering. It is also an invaluable text/reference for graduate students, scientists, and engineers in computer science, mathematics, and engineering.

Parallel Algorithms for Matrix Computations

Parallel Algorithms for Matrix Computations PDF Author: K. Gallivan
Publisher: SIAM
ISBN: 0898712602
Category : Mathematics
Languages : en
Pages : 204

Get Book Here

Book Description
Mathematics of Computing -- Parallelism.

Parallel Algorithms for Optimal Control of Large Scale Linear Systems

Parallel Algorithms for Optimal Control of Large Scale Linear Systems PDF Author: Zoran Gajic
Publisher: Springer Science & Business Media
ISBN: 144713219X
Category : Technology & Engineering
Languages : en
Pages : 462

Get Book Here

Book Description
Parallel Algorithms for Optimal Control of Large Scale Linear Systems is a comprehensive presentation for both linear and bilinear systems. The parallel algorithms presented in this book are applicable to a wider class of practical systems than those served by traditional methods for large scale singularly perturbed and weakly coupled systems based on the power-series expansion methods. It is intended for scientists and advance graduate students in electrical engineering and computer science who deal with parallel algorithms and control systems, especially large scale systems. The material presented is both comprehensive and unique.