Matlab Test Functions
Matlab test functions.
humps(x) sinc(x) psinc(x, n)
x |
numeric scalar or vector. |
n |
positive integer. |
humps is a test function for finding zeros, for optimization
and integration. Its root is at x = 1.2995, a (local) minimum
at x = 0.6370, and the integral from 0.5 to 1.0
is 8.0715.
sinc is defined as sinc(t) = \frac{\sin(π t)}{π t}.
It is the continuous inverse Fourier transform of the rectangular pulse
of width 2π and height 1.
psinc is the 'periodic sinc function' and is defined as
psinc(x,n) = \frac{\sin(x n/2)}{n \sin(x/2)}.
Numeric scalar or vector.
## Not run: plot(humps(), type="l"); grid() x <- seq(0, 10, length=101) plot(x, sinc(x), type="l"); grid() ## End(Not run)
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