By George Lindfield, John Penny
ISBN-10: 0123869420
ISBN-13: 9780123869425
Numerical equipment utilizing MATLAB, 3e, is an in depth reference supplying 1000's of priceless and demanding numerical algorithms that may be carried out into MATLAB, to assist researchers research a selected consequence. Many labored examples are given, including workouts and ideas, to demonstrate how numerical tools can be utilized to check difficulties that experience functions within the biosciences, chaos, optimization, engineering and science.
• Over 500 numerical algorithms, their basic ideas, and applications
• Graphs are used greatly to explain the complexity of problems
• comprises coded genetic algorithms
• contains the Lagrange multiplier method
• hassle-free and written in a conversational type
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Additional info for Numerical methods using MATLAB
Example text
We begin by considering the plot function. This function takes several forms. For example, 28 Chapter 1 . 2 Line solid dashed dotted dashdot . Symbols and Characters Used in Plotting Symbol Point Symbol Color Character -: -. point plus star circle x mark . + * o yellow red green blue black y r g b k × plot(x,y) plots the vector x against y. If x and y are matrices, the first column of x is plotted against the first column of y. This is then repeated for each pair of columns of x and y. plot(x1,y1,'type1',x2,y2,'type2') plots the vector x1 against y1 using the the line or point type given by type1, and the vector x2 against y2 using the line or point type given by type2.
We wish to find x. 1). Solving linear equation systems is an important problem and the computational efficiency and other aspects of this type of problem are discussed in considerable detail in Chapter 2. 9 Element-by-Element Operations Element-by-element operations differ from the standard matrix operations but they can be very useful. ) to precede the operator. ^Y raises each element of X to the power of the corresponding element of Y. \X multiply or divide each element of X by the corresponding element in Y respectively.
The figure window can be cleared using the function clf. MATLAB provides many other plot functions and styles. To illustrate two of these, polar and compass plots, we display the roots of x5 − 1 = 0, which have been determined using the MATLAB function roots. 11. Having determined the five roots of this equation we plot them using both polar and compass. The function polar requires the absolute values and phase angles of the roots, whereas the function compass plots the real parts of the roots against their imaginary parts.
Numerical methods using MATLAB by George Lindfield, John Penny
by Anthony
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