By George Lindfield, John Penny

Numerical equipment utilizing MATLAB, 3e, is an intensive reference providing thousands of worthwhile and demanding numerical algorithms that may be carried out into MATLAB, to assist researchers study a specific consequence. Many labored examples are given, including routines and suggestions, to demonstrate how numerical tools can be utilized to review difficulties that experience purposes within the biosciences, chaos, optimization, engineering and science.

• Over 500 numerical algorithms, their primary rules, and applications
• Graphs are used broadly to explain the complexity of problems
• comprises coded genetic algorithms
• contains the Lagrange multiplier method
• ordinary and written in a conversational sort

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Extra info for Numerical methods using MATLAB

Example text

For example, for i = 1:4 d(i) = i^3; end gives the row vector d = 1 8 27 64. 46 Chapter 1 . An Introduction to MATLAB® The while statement is used when the repetition is subject to a condition being satisfied that is dependent on values generated within the loop. This has the form while end The is a relational expression of the form e1 ◦ e2 where e1 and e2 are ordinary arithmetic expressions as described before and ◦ is a relational operator defined as follows: == <= >= ~= < > equals less than or equals greater than or equals not equals less than greater than Relational expressions may be combined using the following logical operators: & | ~ && || the and operator the or operator the not operator the scalar and operator (if the first condition is false then the second is not evaluated) the scalar or operator (if the first condition is true then the second is not evaluated) Note that false is zero and true is nonzero.

The following examples illustrate the use of some of the functions listed before. 7071 >> x = linspace(0,pi,5) d = abs(x)*y; 17 18 Chapter 1 . 0000 Some functions perform special calculations for important and general mathematical processes. These functions often require more than one input parameter and may provide several outputs. For example, bessel(n,x) gives the nth-order Bessel function of x. The statement y = fzero('fun',x0) determines the root of the function fun near x0 where fun is a function defined by the user that provides the equation for which we are finding the root.

Note that fplot only allows a function or functions to be plotted against an independent variable. Parametric plots cannot be created by fplot. The MATLAB function ezplot is similar to fplot in the sense that we only have to specify the function, but has the disadvantage that the step size is fixed. However, ezplot does allow parametric plots and three-dimensional plots. 6*t)), [0 50]) is a parametric plot but the plot is rather coarse. We have seen how fplot helps in plotting difficult functions.

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Numerical methods using MATLAB by George Lindfield, John Penny
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