MATLAB by rudra pratap

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2 Introduction MATLAB 0 Graphics • 2-D Graphics • 3-D Graphics • Color and Lighting • Animation • Audio and Video E X X T Computations T R • Linear Algebra R A • Data Analysis $ $ F • Signal Processing F u • Polynomials & Interpolation u N c C: • Quadrature T • Solution of ODEs T, I 0 0 . N ; N .---'----ll Toolboxes IL-------, (Collections of Specialized Functions) • Signal Processing • Statistics • Control System • System Identification • Neural Networks • Communications • Symbolic Mathematics • Image Processing • Splines • Robust Control E A N • m-Analysis & Synthesis • Optimization • Financial And Many More I External Interface (Mex-files) • Interface with C, Java, and Fortran Programs Figure 1.1: A schematic diagram of MATLAB's main features,
1.2 Does MATLAB Do Symbolic Calculations? 3 and matrix operations. The LuilL-in functions are optimized for vector operations. Consequently, vcctorized1 commands or codes run much faster in MATLAB. 1.2 Does MATLAB Do Symbolic Calculations? (MATLAB vs. Mathematica or Maple) If you are new to MATLAB, you are likely to ask this question. The first thing to realize is that MATLAB is primarily a numerical cumputatiou package, although with the Symbolic Math Toolbox (standard with the Student Edition of MATLAB, see Chapter 8 for an introduction) it can do symbolic algebra. 2 Mathematica and Maple are primarily symbolic algebra packages. Of course, they do numerical computations too. In fact, if you know any of these packages really well, you can do almost every calculation that MATLAB does using that software. So why learn MATLAB? Well, MATLAB's ease of use is its best feature. Also, it has a shallow learning curve (more learning with less effort) whereas the computer algebra systems have a steep learning curve. Because MATLAB was primarily designed to do numerical calculations and computer algebra systems were not, MATLAB is often much faster at these calculations--often as fast as C or Fortran. There are other packages, such as Xmath, that are also closer in aim and scope but seem to be popular with people in some specialized application areas. The bottom line is, in numerical computations, especially those that us vectors and matries, MATLAB beats everything hand clown in terms of ease of use, availability of built-in functions, ease of programming, and speed. The proof is in the phenomenal growth of MATLAB users around the world in the la.'lt two decades. There arc more than 2000 universities and thousands of companies listed as registered users. MATLAB's popularity today has forced such powerful packages as Mathematica and many others to provide extensions for files in MATLAB's format! 1.3 Will MATLAB Run on My Computer? The most likely answer is "yes , " because MATLAB supports almost every computational platform. In addition to Windows, MATLAB is available for UNIX, Sun Solaris, Linux, and Mac OS X operating systems. Older versions of MATLAB are available for additional platforms such as Mac OS and Open VMS. To find out more about product availability for your particular computer, see the MathWorks website listed in Section 1.4. 1 Vectorization referB to a manner of computation in which an operation is performed simultamJuusly on a list of numbers (a vcector) r11.thr than AtXjUCntially on each member of hi! liL Fur example, let (} be a list of 100 numbers. Then y =sin( B) i "· vRctorized statement as opposed to Yl = sin(lh),y2 = sin(B2), etc. 2Symbolic a.lgcbra meanG that computation is done in terms of symbols ur variaules ralhPr than numbers. For example, if you type (x+y)-2 on your curnpuLPr and Lite cuml-'uler responds by saying that the expression is equal to x2 + 2xy + y 2 , Ll1en your computer does symbolic algebra. Software package that du tiymbulic algebra are also known as computer algebra systems.
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 8 and 9: viii Contents 3 Interactive Computa
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Page 12 and 13: Preface I enjoy MATLAB, and I want
Page 14 and 15: xiv Preface Acknowledgments I was h
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
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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
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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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5.4 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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