Applied Numerical Methods Using MATLAB

Won Y. Yang , Wenwu Cao , Jaekwon Kim , Kyung W. Park , Ho-Hyun Park 지음

Wiley 2020년 03월 31일 출간

작품소개

책소개

This new edition provides an updated approach for students, engineers, and researchers to apply numerical methods for solving problems using MATLAB？ This accessible book makes use of MATLAB？ software to teach the fundamental concepts for applying numerical methods to solve practical engineering and/or science problems. It presents programs in a complete form so that readers can run them instantly with no programming skill, allowing them to focus on understanding the mathematical manipulation process and making interpretations of the results. Applied Numerical Methods Using MATLAB？, Second Edition begins with an introduction to MATLAB usage and computational errors, covering everything from input/output of data, to various kinds of computing errors, and on to parameter sharing and passing, and more. The system of linear equations is covered next, followed by a chapter on the interpolation by Lagrange polynomial. The next sections look at interpolation and curve fitting, nonlinear equations, numerical differentiation/integration, ordinary differential equations, and optimization. Numerous methods such as the Simpson, Euler, Heun, Runge-kutta, Golden Search, Nelder-Mead, and more are all covered in those chapters. The eighth chapter provides readers with matrices and Eigenvalues and Eigenvectors. The book finishes with a complete overview of differential equations. Provides examples and problems of solving electronic circuits and neural networks Includes new sections on adaptive filters, recursive least-squares estimation, Bairstow's method for a polynomial equation, and more Explains Mixed Integer Linear Programing (MILP) and DOA (Direction of Arrival) estimation with eigenvectors Aimed at students who do not like and/or do not have time to derive and prove mathematical results Applied Numerical Methods Using MATLAB？, Second Edition

목차

Preface xv Acknowledgments xvii About the Companion Website xix 1 MATLAB Usage and Computational Errors 1 1.1 Basic Operations of MATLAB 2 1.1.1 Input/Output of Data from MATLAB Command Window 3 1.1.2 Input/Output of Data Through Files 3 1.1.3 Input/Output of Data Using Keyboard 5 1.1.4 Two-Dimensional (2D) Graphic Input/Output 6 1.1.5 Three Dimensional (3D) Graphic Output 12 1.1.6 Mathematical Functions 13 1.1.7 Operations on Vectors and Matrices 16 1.1.8 Random Number Generators 25 1.1.9 Flow Control 27 1.2 Computer Errors vs. Human Mistakes 31 1.2.1 IEEE 64-bit Floating-Point Number Representation 31 1.2.2 Various Kinds of Computing Errors 35 1.2.3 Absolute/Relative Computing Errors 37 1.2.4 Error Propagation 38 1.2.5 Tips for Avoiding Large Errors 39 1.3 Toward Good Program 42 1.3.1 Nested Computing for Computational Efficiency 42 1.3.2 Vector Operation vs. Loop Iteration 43 1.3.3 Iterative Routine vs. Recursive Routine 45 1.3.4 To Avoid Runtime Error 45 1.3.5 Parameter Sharing via GLOBAL Variables 49 1.3.6 Parameter Passing Through VARARGIN 50 1.3.7 Adaptive Input Argument List 51 Problems 52 2 System of Linear Equations 77 2.1 Solution for a System of Linear Equations 78 2.1.1 The Nonsingular Case (M = N) 78 2.1.2 The Underdetermined Case (M ): Minimum-norm Solution 79 2.1.3 The Overdetermined Case (M > N): Least-squares Error Solution 82 2.1.4 Recursive Least-Squares Estimation (RLSE) 83 2.2 Solving a System of Linear Equations 86 2.2.1 Gauss(ian) Elimination 86 2.2.2 Partial Pivoting 88 2.2.3 Gauss-Jordan Elimination 97 2.3 Inverse Matrix 100 2.4 Decomposition (Factorization) 100 2.4.1 LU Decomposition (Factorization) Tr

작가정보

저자(글) Won Y. Yang

Won Y. Yang, PhD, is a Professor in the Department of Electrical Engineering at Chung-Ang University in Seoul, Korea. Wenwu Cao, PhD, is a Professor in the Department of Materials Science and Engineering at Penn State University in University Park, Pennsylvania. Jaekwon Kim, PhD, is a Professor in the Department of Electrical Engineering at Yongsei University in Wonju, Korea. Kyung W. Park, PhD, is a Professor in the Department of Electrical Engineering at Yonsei University, Wonju, Korea. Ho-Hyun Park, PhD, is a Professor in the School of Electrical and Electronics Engineering at Chung-Ang University in Seoul, Korea. Jingon Joung, PhD, is a Professor in the Department of Electrical Engineering at Chung-Ang University in Seoul, Korea. Jong-Suk Ro is Creative Research Engineer Development at Brain Korea 21 Plus, Seoul National University in Seoul, Korea. Han L. Lee, PhD, is a Professor in the Department of Electrical Engineering at Chung-Ang University in Seoul, Korea. Cheol-Ho Hong is Assistant Professor in the School of Electrical and Electronics Engineering at Chung-Ang University in Seoul, Korea. Taeho Im, PhD, is a Professor in Oceanic IT Engineering at Hoseo University in Asan, Korea.

저자(글) Wenwu Cao

저자(글) Jaekwon Kim

저자(글) Kyung W. Park

저자(글) Ho-Hyun Park