MatlabNotes - An Introduction to Matlab Version 2.3 David F...

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An Introduction to Matlab Version 2.3 David F. Griffiths Department of Mathematics The University Dundee DD1 4HN With additional material by Ulf Carlsson Department of Vehicle Engineering KTH, Stockholm, Sweden Copyright c 1996 by David F. Griffiths. Amended October, 1997, August 2001, September 2005. This introduction may be distributed provided that it is not be altered in any way and that its source is properly and completely specified.
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Contents 1 MATLAB 2 2 Starting Up 2 2.1 Windows Systems . . . . . . . . . . 2 2.2 Unix Systems . . . . . . . . . . . . . 2 2.3 Command Line Help . . . . . . . . . 2 2.4 Demos . . . . . . . . . . . . . . . . . 3 3 Matlab as a Calculator 3 4 Numbers & Formats 3 5 Variables 3 5.1 Variable Names . . . . . . . . . . . . 3 6 Suppressing output 4 7 Built–In Functions 4 7.1 Trigonometric Functions . . . . . . . 4 7.2 Other Elementary Functions . . . . . 4 8 Vectors 4 8.1 The Colon Notation . . . . . . . . . 5 8.2 Extracting Bits of a Vector . . . . . 5 8.3 Column Vectors . . . . . . . . . . . . 5 8.4 Transposing . . . . . . . . . . . . . . 5 9 Keeping a record 6 10 Plotting Elementary Functions 6 10.1 Plotting—Titles & Labels . . . . . . 7 10.2 Grids . . . . . . . . . . . . . . . . . . 7 10.3 Line Styles & Colours . . . . . . . . 7 10.4 Multi–plots . . . . . . . . . . . . . . 7 10.5 Hold . . . . . . . . . . . . . . . . . . 7 10.6 Hard Copy . . . . . . . . . . . . . . 8 10.7 Subplot . . . . . . . . . . . . . . . . 8 10.8 Zooming . . . . . . . . . . . . . . . . 8 10.9 Formatted text on Plots . . . . . . . 8 10.10Controlling Axes . . . . . . . . . . . 9 11 Keyboard Accelerators 9 12 Copying to and from Word and other applications 10 12.1 Window Systems . . . . . . . . . . . 10 12.2 Unix Systems . . . . . . . . . . . . . 10 13 Script Files 10 14 Products, Division & Powers of Vec- tors 11 14.1 Scalar Product ( * ) . . . . . . . . . . 11 14.2 Dot Product ( .* ) . . . . . . . . . . . 11 14.3 Dot Division of Arrays ( ./ ) . . . . . 12 14.4 Dot Power of Arrays ( .^ ) . . . . . . 12 15 Examples in Plotting 13 16 Matrices—Two–Dimensional Arrays 13 16.1 Size of a matrix . . . . . . . . . . . . 14 16.2 Transpose of a matrix . . . . . . . . 14 16.3 Special Matrices . . . . . . . . . . . 14 16.4 The Identity Matrix . . . . . . . . . 14 16.5 Diagonal Matrices . . . . . . . . . . 15 16.6 Building Matrices . . . . . . . . . . . 15 16.7 Tabulating Functions . . . . . . . . . 15 16.8 Extracting Bits of Matrices . . . . . 16 16.9 Dot product of matrices ( .* ) . . . . 16 16.10Matrix–vector products . . . . . . . 16 16.11Matrix–Matrix Products . . . . . . . 17 16.12Sparse Matrices . . . . . . . . . . . . 17 17 Systems of Linear Equations 18 17.1 Overdetermined system of linear equa- tions . . . . . . . . . . . . . . . . . . 18 18 Characters, Strings and Text 20 19 Loops 20 20 Logicals 21 20.1 While Loops . . . . . . . . . . . . . . 22 20.2 if...then...else...end . . . . . . 23 21 Function m–files 23 21.1 Examples of functions . . . . . . . . 24 22 Further Built–in Functions 25 22.1 Rounding Numbers . . . . . . . . . . 25 22.2 The sum Function . . . . . . . . . . . 25 22.3 max & min . . . . . . . . . . . . . . . 26 22.4 Random Numbers . . . . . . . . . . 26 22.5 find for vectors . . . . . . . . . . . . 27 22.6 find for matrices . . . . . . . . . . . 27 23 Plotting Surfaces 27 24 Timing 28 25 On–line Documentation 29 26 Reading and Writing Data Files 29 26.1 Formatted Files . . . . . . . . . . . . 30 26.2 Unformatted Files . . . . . . . . . . 30 27 Graphic User Interfaces 31 28 Command Summary 32 1
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1 MATLAB Matlab is an interactive system for doing nu- merical computations. A numerical analyst called Cleve Moler wrote the first version of Matlab in the 1970s. It has since evolved into a successful commercial software package. Matlab relieves you of a lot of the mundane tasks associated with solving problems nu- merically. This allows you to spend more time thinking, and encourages you to experiment. Matlab makes use of highly respected algo- rithms and hence you can be confident about your results.
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