Matlab

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# Matlab - PowerPoint PPT Presentation

Matlab. http://www.mathworks.com/academia/student_version/doc_r14.html Cost: \$100 Available in labs on Windows and Unix machines. What is Matlab?.

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### Matlab

Cost: \$100

Available in labs on Windows and Unix machines.

What is Matlab?
• high-performance language for technical computing. It integrates computation, visualization, and programming in an easy-to-use environment where problems and solutions are expressed in familiar mathematical notation.
Uses
• Math and computation
• Algorithm development
• Data acquisition
• Modeling, simulation, and prototyping
• Data analysis, exploration, and visualization
• Scientific and engineering graphics
• Application development, including graphical user interface building
Basic Idea
• Particularly useful for problems that can be cast into matrix, vector form
• MATLAB=Matrix Laboratory
• Starting matlab
• Windows: double click on icon
• Unix: type matlab at the prompt
Basics: Matlab
• Use as a calculator
• No compiling
• Interactive or through an .m script
• Syntax
• Set work directory for m scripts.
Enter Matrices
• Enter an explicit list of elements.
• Load matrices from external data files.
• Generate matrices using built-in functions.
• Create matrices with your own functions in M-files.
Durer’s matrix example
• Page 4-3
• How to enter matrix
• Matlab has built in function to manipulate matrix
• Sum
• Diag
• Tranpose with prime
• Subsripts use
• Acces individual matrix elements
Expressions
• “Variables” on page 4-10
• “Numbers” on page 4-11
• “Operators” on page 4-11
• “Functions” on page 4-12
Variables and numbers
• Examples of number

Integer, real: 3 -99 0.0001

Scientific: 9.6397238 1.60210e-20 6.02252e23

Imaginary: 1i -3.14159j 3e5i

• Like any other language matlab can assign variables and change them
• N=32; M=N etc…..
Operators
• - Subtraction
• * Multiplication
• / Division
• \ Left division (described in “Matrices and LinearAlgebra” in the MATLAB documentation)
• ^ Power
• \' Complex conjugate transpose
• ( ) Specify evaluation order
Functions
• Many functions avaliable
• Sin,cos, tan
• Exp
• Bessel
• Help elfun
• Help specfun
• Help elmat
Working with Matrices
• “Generating Matrices” on page 4-14
• “The load Function” on page 4-15
• “M-Files” on page 4-15
• “Concatenation” on page 4-16
• “Deleting Rows and Columns” on page 4-17
Linear Algebra
• A=A+A’
• Determinant: det(A)
• Inverse: inv(A)
• Eigenvalue eig(A)
• Matrix-vector produce
• V=ones(4,1)
• A*v
Arrays
• - Subtraction
• .* Element-by-element multiplication
• ./ Element-by-element division
• .\ Element-by-element left division
• .^ Element-by-element power
• .\' Unconjugated array transpose
Graphics
• very important for visualization of results: not available in any other tool.
• help graphics
• plot opens in figure
• edit with gui (5-15 and further)
• subplot
• plot to file
Basic plotting functions
• “Creating a Plot” on page 5-38
• “Multiple Data Sets in One Graph” on page 5-40
• “Specifying Line Styles and Colors” on page 5-41
• “Plotting Lines and Markers” on page 5-41
• “Imaginary and Complex Data” on page 5-43
• “Adding Plots to an Existing Graph” on page 5-44
• “Figure Windows” on page 5-46
• “Multiple Plots in One Figure” on page 5-46
• “Controlling the Axes” on page 5-48
• “Axis Labels and Titles” on page 5-49
• “Saving Figures” on page 5-51
Mesh and surface plots
• Will be used in this class
• Meshes are required for numerical computations.
• meshgrid: transforms the domain specified by a single vector or two vectors x and y into matrices X and Y for use in evaluating functions of two variables.
Progamming
• “if” on page 6-2
• “switch and case” on page 6-4
• “for” on page 6-5
• “while” on page 6-6
• “continue” on page 6-6
• “break” on page 6-7
Animations
• matlabinto_anim.m