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This problem is intended to demonstrate some problems that can arise from the finite precision of numerical calculations performed with computers. We will do this by approximating the derivative of a function. The definition of the derivative of the unction f(x) is:
We can approximate this with the computer by allowing ?x to be a finite number. Thus, the numerical approximation to the derivative of the function can be determined from:
The error between the actual derivative and its approximation is dependent upon both x and ?x:
Write a program to calculate and plot the error in the numerical estimate of the derivative according to equation (3), for the function
(You may find the logspace command useful.)
Use logarithmic scales on both the x-axis and y-axis of your plot (you may find the MATLAB command loglog helpful). Create a Microsoft Word document named homework8.doc and paste into it your plot of error vs. ?x. Also in your MS Word document, comment on your results - especially relative to the behavior of the error as ?x increases.
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Write a function that will take in a simplex tableau and an associated basis, and return the initial feasible solution of the tableau x as a column vector, as well as the objective
This can be done from the command line or from a makefile. You require a script (filename.m). Just type at the command line, or contain in the makefile: matlab
Need help with creating functions in matlab.
how
i want to write a program in mat lab for optimizing the design of lens help me how could i i am new user of matlab but previously i have work on C++.
Looping Statements: Consider the problem of computing the area of a circle with radius of 0.3 centimeters-a MATLAB program certainly is not required to do that; you would use
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