Implicitly Restarted Arnoldi Lanczos Methods For Large Scale Eigenvalue Calculations

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Implicity Restarted Arnoldi Lanczos Methods For Large Scale Eigenvalue Calculations
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Author :
language : en
Publisher:
Release Date : 1996
Implicity Restarted Arnoldi Lanczos Methods For Large Scale Eigenvalue Calculations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Implicity Restarted Arnoldi Lanczos Methods For Large Scale Eigenvalue Calculations
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-05
Implicity Restarted Arnoldi Lanczos Methods For Large Scale Eigenvalue Calculations written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-05 with categories.
Eigenvalues and eigenfunctions of linear operators are important to many areas of applied mathematics. The ability to approximate these quantities numerically is becoming increasingly important in a wide variety of applications. This increasing demand has fueled interest in the development of new methods and software for the numerical solution of large-scale algebraic eigenvalue problems. In turn, the existence of these new methods and software, along with the dramatically increased computational capabilities now available, has enabled the solution of problems that would not even have been posed five or ten years ago. Until very recently, software for large-scale nonsymmetric problems was virtually non-existent. Fortunately, the situation is improving rapidly. The purpose of this article is to provide an overview of the numerical solution of large-scale algebraic eigenvalue problems. The focus will be on a class of methods called Krylov subspace projection methods. The well-known Lanczos method is the premier member of this class. The Arnoldi method generalizes the Lanczos method to the nonsymmetric case. A recently developed variant of the Arnoldi/Lanczos scheme called the Implicitly Restarted Arnoldi Method is presented here in some depth. This method is highlighted because of its suitability as a basis for software development. Sorensen, Danny C. Langley Research Center NAS1-19480; RTOP 505-90-52-01...
Betriebswirtschaftliche Hefte
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Author :
language : en
Publisher:
Release Date : 1979
Betriebswirtschaftliche Hefte written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Implicitly Restarted Arnoldi Lanczos Methods For Large Scale Eigenvalue Calculations
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Author : Danny C. Sorensen
language : en
Publisher:
Release Date : 1996
Implicitly Restarted Arnoldi Lanczos Methods For Large Scale Eigenvalue Calculations written by Danny C. Sorensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Arpack Users Guide
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Author : Richard B. Lehoucq
language : en
Publisher: SIAM
Release Date : 1998-01-01
Arpack Users Guide written by Richard B. Lehoucq and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
This book is a guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. The software described is based on the implicitly restarted Arnoldi method, which has been heralded as one of the three most important advances in large scale eigenanalysis in the past ten years. The book explains the acquisition, installation, capabilities, and detailed use of the software for computing a desired subset of the eigenvalues and eigenvectors of large (sparse) standard or generalized eigenproblems. It also discusses the underlying theory and algorithmic background at a level that is accessible to the general practitioner.
Parallel Numerical Algorithms
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Author : David E. Keyes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Parallel Numerical Algorithms written by David E. Keyes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.
Scale Space And Variational Methods In Computer Vision
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Author : Fiorella Sgallari
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-23
Scale Space And Variational Methods In Computer Vision written by Fiorella Sgallari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-23 with Computers categories.
This book constitutes the refereed proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2007, emanated from the joint edition of the 4th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2007 and the 6th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2007, held in Ischia Italy, May/June 2007.
Numerical Methods For General And Structured Eigenvalue Problems
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Author : Daniel Kressner
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20
Numerical Methods For General And Structured Eigenvalue Problems written by Daniel Kressner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Mathematics categories.
This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.
Multi Band Effective Mass Approximations
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Author : Matthias Ehrhardt
language : en
Publisher: Springer
Release Date : 2014-07-17
Multi Band Effective Mass Approximations written by Matthias Ehrhardt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-17 with Mathematics categories.
This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum mechanical effects. The goal of numerical simulations using quantum mechanical models in the development of semiconductor nano structures is threefold: First they are needed for a deeper understanding of experimental data and of the operational principle. Secondly, they allow us to predict and optimize in advance the qualitative and quantitative properties of new devices in order to minimize the number of prototypes needed. Semiconductor nano structures are embedded as an active region in semiconductor devices. Thirdly and finally, the results of quantum mechanical simulations of semiconductor nano structures can be used with upscaling methods to deliver parameters needed in semi-classical models for semiconductor devices, such as quantum well lasers. This book covers in detail all these three aspects using a variety of illustrative examples. Readers will gain detailed insights into the status of the multiband effective mass method for semiconductor nano structures. Both users of the kp method as well as advanced researchers who want to advance the kp method further will find helpful information on how to best work with this method and use it as a tool for characterizing the physical properties of semiconductor nano structures. The book is primarily intended for graduate and Ph.D. students in applied mathematics, mathematical physics and theoretical physics, as well as all those working in quantum mechanical research or the semiconductor / opto-electronic industry who are interested in new mathematical aspects.
Vector And Parallel Processing Vecpar 98
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Author : Jose M.L.M. Palma
language : en
Publisher: Springer
Release Date : 2006-10-11
Vector And Parallel Processing Vecpar 98 written by Jose M.L.M. Palma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-11 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the Third International Conference on Vector and Parallel Processing, VECPAR'98, held in Porto, Portugal, in June 1998. The 41 revised full papers presented were carefully selected during two rounds of reviewing and revision. Also included are six invited papers and introductory chapter surveys. The papers are organized in sections on eigenvalue problems and solutions of linear systems; computational fluid dynamics, structural analysis, and mesh partitioning; computing in education; computer organization, programming and benchmarking; image analysis and synthesis; parallel database servers; and nonlinear problems.