Matlab Guide,9780898714692

Matlab Guide

by ;
ISBN13: 9780898714692
ISBN10: 0898714699
Format: Hardcover
Pub. Date: 2000-09-01
Publisher(s): Society for Industrial & Applied
List Price: $65.63

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Summary

Textbook and reference introducing readers to the most popular features of MATLAB and Symbolic Math Toolbox, with instructive examples. Explains new MATLAB features and covers advances topics such as profiling, sparse matrices, Handle graphics and cell arrays. Also features a companion Web page with links to further resources. DLC: MATLAB.

Author Biography

Desmond J. Higham is Professor of Mathematics at the University of Strathclyde, Scotland. Nicholas J. Higham is Richardson Professor of Applied Mathematics at the University of Manchester, England.

Table of Contents

List of Figures
xi
List of Tables
xv
List of M-Files
xvii
Preface xix
A Brief Tutorial
1(20)
Basics
21(10)
Interaction and Script Files
21(1)
More Fundamentals
22(9)
Distinctive Features of MATLAB
31(4)
Automatic Storage Allocation
31(1)
Functions with Variable Arguments Lists
31(1)
Complex Arrays and Arithmetic
32(3)
Arithmetic
35(4)
IEEE Arithmetic
35(2)
Precedence
37(1)
Mathematical Functions
38(1)
Matrices
39(18)
Matrix Generation
39(6)
Subscripting and the Colon Notation
45(2)
Matrix and Array Operations
47(3)
Matrix Manipulation
50(2)
Data Analysis
52(5)
Operators and Flow Control
57(10)
Relational and Logical Operators
57(5)
Flow Control
62(5)
M-Files
67(10)
Scripts and Functions
67(6)
Editing M-Files
73(1)
Working with M-Files and the MATLAB Path
73(2)
Command/Function Duality
75(2)
Graphics
77(30)
Two-Dimensional Graphics
77(11)
Basic Plots
77(3)
Axes and Annotation
80(6)
Multiple Plots in a Figure
86(2)
Three-Dimensional Graphics
88(11)
Specialized Graphs for Displaying Data
99(3)
Saving and Printing Figures
102(2)
On Things Not Treated
104(3)
Linear Algebra
107(18)
Norms and Condition Numbers
107(2)
Linear Equations
109(2)
Square System
109(1)
Overdetermined System
109(1)
Underdetermined System
110(1)
Inverse, Pseudo-Inverse and Determinant
111(1)
LU and Cholesky Factorizations
112(1)
QR Factorization
113(2)
Singular Value Decomposition
115(1)
Eigenvalue Problems
116(4)
Eigenvalues
116(2)
More about Eigenvalue Computations
118(1)
Generalized Eigenvalues
118(2)
Iterative Linear Equation and Eigenproblem Solvers
120(3)
Functions of a Matrix
123(2)
More on Functions
125(10)
Passing a Function as an Argument
125(2)
Subfunctions
127(1)
Variable Numbers of Arguments
128(1)
Global Variables
129(2)
Recursive Functions
131(1)
Exemplary Functions in MATLAB
132(3)
Numerical Methods: Part I
135(10)
Polynomials and Data Fitting
135(4)
Nonlinear Equations and Optimization
139(4)
The Fast Fourier Transform
143(2)
Numerical Methods: Part II
145(32)
Quadrature
145(3)
Ordinary Differential Equations
148(15)
Examples with ode45
149(4)
Case Study: Pursuit Problem with Event Location
153(4)
Stiff Problems and the Choice of Solver
157(6)
Boundary Value Problems with bvp4c
163(7)
Partial Differential Equations with pdepe
170(7)
Input and Output
177(6)
User Input
177(1)
Output to the Screen
178(2)
File Input and Output
180(3)
Troubleshooting
183(6)
Errors and Warnings
183(2)
Debugging
185(1)
Pitfalls
186(3)
Sparse Matrices
189(6)
Sparse Matrix Generation
189(2)
Linear Algebra
191(4)
Further M-Files
195(6)
Elements of M-File Style
195(1)
Profiling
196(5)
Handle Graphics
201(16)
Objects and Properties
201(6)
Animation
207(2)
Examples
209(8)
Other Data Types and Multidimensional Arrays
217(10)
Strings
217(2)
Multidimensional Arrays
219(2)
Structures and Cell Arrays
221(6)
The Symbolic Math Toolbox
227(14)
Equation Solving
227(3)
Calculus
230(5)
Linear Algebra
235(2)
Variable Precision Arithmetic
237(1)
Other Features
238(3)
Optimizing M-Files
241(8)
Vectorization
241(2)
Preallocating Arrays
243(1)
Miscellaneous Optimizations
244(1)
Case Study: Bifurcation Diagram
244(5)
Tricks and Tips
249(8)
Empty Arrays
249(1)
Exploiting Infinities
250(1)
Permutations
250(2)
Rank 1 Matrices
252(1)
Set Operations
253(1)
Subscripting Matrices as Vectors
253(1)
Triangular and Symmetric Matrices
254(3)
A Changes in Matlab 257(2)
A.1 Matlab 5.0
257(1)
A.2 Matlab 5.3
257(1)
A.3 Matlab 6
257(2)
B Toolboxes 259(2)
C Resources 261(2)
Glossary 263(2)
Bibliography 265(6)
Index 271

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