MATLAB by rudra pratap

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viii Contents 3 Interactive Computation 63 3.1 Matrices and Vectors . 65 3.1.1 Input 65 3.1.2 Indexing (or subscripting) 66 3.1.3 Matrix manipulation . 66 3.1.4 Creating vectors 72 3.2 Matrix and Array Operations 3.2.1 Arithmetic operations 73 3.2.2 Relational operations . 74 3.2.3 Logical operations 74 3.2.4 Elementary math functions 75 3.2. 5 Matrix functions 77 3.3 Character strings 77 3.3.1 Manipulating character strings 79 3.3.2 The eval function 80 3.4 A Special Note on Array Operations 81 3.4.1 Vectorization 82 3.5 Command- Line Functions 83 3. 5.1 Inline functions . 83 3.5.2 Anonymous functions 83 3.6 Using Built-in Functions and On-line Help . 85 3.6.1 Example 1: Finding the determinant of a matrix 87 3.6.2 Example 2: Finding eigenvalues and eigenvectors 87 Saving and Loading Data 90 3.7.1 Saving into and loading from the binary Mat-files . 90 3.7.2 Importing data files 91 Recording a session with diary 91 3. 8 Plotting Simple Graphs 92 3.7 3.7.3 4 Programming in <strong>MATLAB</strong>: Scripts and Functions 99 4.1 Script Files 99 4.2 Function Files . 102 4.2.1 Executing a function . 103 4.2.2 More on functions 10 5 4.2.3 M-Lint code analyzer 108 4.2.4 Subfunctions 109 4.2. 5 Nested functions: . 110 4.2.6 Compiled (parsed) functions: The p-code 110 4.2.7 The profiler . 111 4.3 Language-specific Features . 11 1 4.3.1 1 Use of comments to create on-line help 11 4.3.2 Continuation 1 12 4.3.3 Global variables 112 4.3.4 Loops, branches, and control-flow . 114 73
Contents ix 4.3.5 Interactive input 4.3.6 Recursion . . . . 4.3.7 Input/output . . 4.4 Advanced Data Objects 4.4.1 Multidimensional matrices . 4.4.2 St ructure s . 4.4.3 Cells . . . . 4.5 Publishing Reports 117 119 119 121 121 122 125 129 5 Applications 135 5.1 Linear Algebra . . . . . . . . . 135 5.1.1 Solving a linear system 135 5.1.2 Gaus sian elimination . . 136 5.1.3 137 5.1.4 Matrix factorizations 138 5.1.5 Advanced topics . . . . . . . . . . 139 5.2 Curve Fitting and Interpolation . . . . . . 139 5.2.1 Polynomial curve fitting on the fly 5.2.2 141 5.3 5.4 5.5 5.6 Finding eigenvalues and eigenvectors Do it yourself: Curve fitting with polynomial functions . 5.2.3 5.2.4 Least squares curve fitting . General nonlinear fits 5.2.5 Interpolation . . . . . . . . Data Analysis and Stat ist ics . . . . Numerical Integration (Quadrature) 5.4.1 Double integration . . . . . . Ordinary Di fferential Equations . . . 5.5.1 Example 1: A first-order linear ODE . 5.5.2 Example 2: A second-order nonlinear ODE 5.5.3 ode23 versus ode45 5.5.4 Specifying tolerance 5.5.5 The ODE suite . . . 5.5.6 Event location . . . Nonlinear Algebraic Equations 5.6.1 Roots of polynomials . 5. 7 Advanced Topics 139 144 147 147 150 152 154 156 157 158 160 162 163 165 168 170 171 6 Graphics 6.1 Basic 2-D Plots . . . . . . . . . . . . . . . . . . . . 6.1.1 Style options . . . . . . . . . . . . . . . . . 6.1.2 Labels, title, legend, and other text objects 6.1.3 6.1.4 6.1.5 Axis control, zoom in, and zoom out Modifying plots with the plot editor Overlay plots . . . . . . . . . 6.1.6 Speciali zed 2-D plots . . . .. 6.2 Using subplot for Multiple Graphs . 175 175 176 176 177 178 179 183 189
Page 1 and 2: Getting Started with MATLAB Updated
Page 3 and 4: Getting Started with MATLAB A Quick
Page 5: To Ma Gayatri and my parents Shri C
Page 10 and 11: X Contents 6.3 3-D Plots . . . . .
Page 12 and 13: Preface I enjoy MATLAB, and I want
Page 14 and 15: xiv Preface Acknowledgments I was h
Page 16 and 17: 2 Introduction MATLAB 0 Graphics
Page 18 and 19: 4 lntrod uctiun -- 1.4 Where Do I G
Page 20 and 21: 6 Introduction MATLAB prompt. In MA
Page 22 and 23: 8 Introduction MATLAB Desktop ! Cur
Page 24 and 25: 10 Introduction commands from even
Page 26 and 27: 12 Introduction 1.6.6 General comma
Page 28 and 29: c;,\e \"', t sfmpl TPBYUl§l CC
Page 30 and 31: 16 Tutorial Lessons The Basics Here
Page 32 and 33: 18 Tutorial Lessons » 2 + 2 ans 4
Page 34 and 35: 20 Tutorial Lessons Answers to Exer
Page 36 and 37: 22 Tutorial Lessons >> X [1 2 3} x
Page 40 and 41: 26 Tutorial Lessons » theta. ""·
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44 Tutorial Lessons >> f @(x) xA3 -
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46 Tutorial Lessons EXERCISES 1. Cr
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48 Tutorial Lessons >> syms x y >>
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50 Tutorial Lessons EXERCISES 1. So
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52 Tutorial Lessons >> clear al l >
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54 Tutorial Lesson; EXERCISES 1. Wo
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56 Tutorial Lessons >> pwd Print (s
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58 Tutorial Lessons 2.11 Lesson 11:
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60 Tutorial Lessons EXERCISES 1. Us
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Interactive • Computation In prin
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3.1 Matrices and Vectors 65 3.1 Mat
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3.1 Matrices and Vectors 67 »A ran
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3.1 Matrices and Vectors 69 Transpo
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3.1 Matrices and Vectors 71 » eye
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3.2 Matrix and Array Operations 73
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3.2 Matrix and Array Operations 75
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3.3 Character strings 77 Round-off
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3.3 Character strings 79 howdy = ['
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3 .4 A Special Note on Array Operat
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3.5 Command-Line Functions 83 3.5 C
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3.6 Using Built-in Functions and On
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3. 7 Saving and Loading Data 91 You
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3.8 Plotting Simple Graphs 93 >> X
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3.8 Plotting Simple Graphs 95 90 18
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3.8 Plotting Simple Graphs 97 EXERC
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100 Programming in MATLAB: Scripts
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• Applications 5.1 Linear Algebra
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5.1 Linear Algebra 137 augmented ma
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5.2 Curve Fitting and Interpolation
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5.3 Data Analysis and Statistics 15
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5.4 Numerical Integration (Quadratu
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5.5 Ordinary Differential Equations
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5.5 Ordinary Diffe rential Equation
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5.6 Nonlinear Algebraic Equations 1
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5. 7 Advanced Topics 171 Finding mu
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5. 7 Advanced Topics 173 • First,
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176 Graphics 6.1.1 Style options Th
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178 Graphics Semi-control of axes I
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180 Graphics rt;; tiinspZlcE! ( O ;
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182 Graphics Fun with sin(t) 5,----
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184 Graphics Function Example Scrip
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188 comet contour quiver Example Sc
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190 Graphics cylinder generates a c
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192 Graphics View(2) and view(3) Th
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194 Graphics of grid points. Also,
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I 196 Graphics [Function Example Sc
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I 198 Graphics Function Example Scr
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202 Graphics where (x, y, z) are 3-
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204 Graphics % SURFINTERP : script
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206 Graphics The Root The Graphics
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208 Graphics » t = linspace (O,pi,
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210 Graphics 6.4.4 Modifying an exi
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212 Graphics 6.4.5 Complete control
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214 Graphics elf hi = axes ('posit
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216 Graphics Surface plotting funct
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218 Graphics fiat lighting, each pa
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220 Graphics 6.6.1 Saving graphs to
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222 Graphics two important things t
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224 Graphics Example 2: The bead go
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226 Graphics Example 4: The bar pen
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• Errors Errors are an integral p
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Errors 231 In matrix multiplication
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Errors 233 7. >> X = b+2 .33 ??? Un
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236 Computer Algebra and The Symbol
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Honorable • Mentions There are ma
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252 The MATLAB Language Reference '
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254 The MATLAB Language Reference A
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258 The MATLAB Language Reference ;
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Index !, 7, 252 \ , 73 ' (right quo
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Index 265 dblquad, 154 dde23, 171 d
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Index 267 helpdesk, 7, 12, 85, 90,
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Index 269 more, 9, 12, 27, 64 movie
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Index 271 spy, 97 sqrt, 76 sqrtm, 7
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MATLAB by rudra pratap

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