دانلود کتاب Numerical Methods and their applications to Linear Algebra

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Cover
Half Title Page
Title Page
Copyright Page
Declaration
About the Editor
Table of Contents
List of Contributors
List of Abbreviations
Preface
SECTION I
Chapter 1 Distributed Gram-Schmidt Orthogonalization With Simultaneous Elements Refinement
Abstract
Introduction
Average Consensus Algorithm
Qr Factorization
Distributed Classical Gram-Schmidt With Simultaneous Elements Refinement
Performance of DS-CGS
Conclusions
Endnotes
Appendix: Local Algorithm
Acknowledgements
References
Chapter 2 New Iterative Methods For Generalized Singular-Value Problems
Abstract
Introduction
Preparations
A New Iterative Method For GSVD
Numerical Experiments
Conclusions
References
Chapter 3 A DFT-Based Approximate Eigenvalue And Singular Value Decomposition of Polynomial Matrices
Abstract
Introduction
Problem Formulation
Spectral Majorized Decomposition Versus Smooth Decomposition
Finite Duration Constraint
Gradient Descent Solution
Simulation Results
Conclusion
References
Untitled
SECTION II
Chapter 4 Perturbation Analysis of the Stochastic Algebraic Riccati Equation
Abstract
Introduction
Perturbation Equation
Perturbation Bounds
Stability Analysis
Condition Number of The Sare
Numerical Experiment
Conclusion
Appendix
Acknowledgements
References
Chapter 5 A Tridiagonal Matrix Construction By The Quotient Difference Recursion Formula In The Case Of Multiple Eigenvalues
Abstract
Introduction
Some Properties For The QD Recursion Formula
Tridiagonal Matrix Associated With General Matrix
Minimal Polynomial of Tridiagonal Matrix
Procedure For Constructing Tridiagonal Matrix And Its Examples
Conclusion
Acknowledgements
References
SECTION III
Chapter 6 Stability Analysis of Additive Runge-Kutta Methods For Delay-Integro-Differential Equations
Abstract
Introduction
The Numerical Methods
Stability Analysis
Conclusion
Acknowledgments
References
Chapter 7 A Numerical Method For Partial Differential Algebraic Equations Based On Differential Transform Method
Abstract
Introduction
Indexes of Partial Differential Algebraic Equation
Two-Dimensional Differential Transform Method
Application
Conclusion
References
SECTION IV
Chapter 8 Design and Implementation of Numerical Linear Algebra Algorithms on Fixed Point DSPS
Abstract
Introduction
Linear Algebra Algorithm Selection
Process of Dynamic Range Estimation
Bit-True Fixed Point Simulation
Algorithm Porting To A Target DSP
Results
Conclusion
References
Chapter 9 Performance Versus Energy Consumption of Hyperspectral Unmixing Algorithms on Multi-Core Platforms
Abstract
Introduction
Spectral Unmixing Modules
Multi-Core Implementations
Experimental Results
Conclusions
Acknowledgements
References
SECTION V
Chapter 10 A Unified View Of Adaptive Variable-Metric Projection Algorithms
Abstract
Introduction
Adaptive Projected Subgradient Method: Asymptotic Minimization of A Sequence of Cost Functions
Variable-Metric Extension of APSM
A Deterministic Analysis
Numerical Examples
Conclusion
Appendices
Acknowledgment
References
Chapter 11 New Techniques For Linear Arithmetic: Cubes And Equalities
Abstract
Introduction
Preliminaries
Fitting Cubes Into Polyhedra
Fast Cube Tests
Experiments
From Cubes To Equalities
Implementation And Application
Conclusions
Acknowledgements
References
Index