Hi!

I see that from Maple 2018 there is a command to compute the so called Radial Basis Function Interpolation:

https://www.maplesoft.com/support/help/Maple/view.aspx?path=Interpolation%2FRadialBasisFunctionInterpolation

I am trying to implement that code in Maple 2015, but it returns the error

Error, (in h) bad index into Vector

Displaying the vectors computed with the procedure, they seem correct, but the function that I want to return seems to fail (it is a summatory).

Attached the maple file

RBF_Interpolation.mw

I will appreciate any suggestion. Many thanks in advance for your comments!

BR,

GGM

Hi!

Assume we have the following mappings:

f[1] := proc (x) options operator, arrow; piecewise(0 <= t and t <= 1/2, (1/2)*x(2*t), 1/2 < t and t <= 1, (1/2)*x(2*t-1)+1/2) end proc

f[2] := proc (x) options operator, arrow; t*x(t) end proc

 Note that the argument are mappings (i.e, x(t) is a continuous function defined on [0,1]). Given an array with values in {1,2}, for instance [1,1,2],and a function h (say, h:=t->t) How can we define the composition mapping f[1]f[1]f[2](h)?

In general, I want to plot the composition mapping f[i1]f[i2]...f[iN](h), i1,i2,...,iN being 1 or 2 and h a given continuous function defined on [0,1]

Many thanks in advance for your comments.

Hi!

There is some procedure/function to convert C code into maple code? For instance, the above text file

C_code.txt

contains the C code of this paper  http://www.dcs.bbk.ac.uk/~jkl/pubs/JL1_00a.pdf to compute the image of a point in [0,1] under the N-dimensional Hilbert curve and vice versa (i.e., given a point P in the N-dimensional cube [0,1]^{N} find the point t in [0,1] such that t is mapped into P under the Hilbert curve)

Unfortunately, I don't know anything about the C programming language.

Many thanks in advance for your comments.

Hi!

The algorithm in this PDF is written in Fortran, but unfortunately I do not known this programming languaje (actually, I am not an "expert" in progamation).

Algoritmo_Fortram.pdf  [removed by moderator. © Institute of Mathematics AS CR, 1980]

https://dml.cz/handle/10338.dmlcz/103855

Could someone please write this algorithm in Maple? Or, at least, indicate me how to do.

Many thanks in advance for your comments.

Hi!

There is a (relatively) known software code (written in C), called ." GKLS-generator" or "GKLS" to generate, according to certain user paramenters, optimization test functions. The code is available for free at the web

http://wwwinfo.deis.unical.it/%7Eyaro/GKLS.html

The download with the files of the GKLS is the following:  download

I would like to write this code in Maple. In the attached zip there is a PDF explaining how to build these functions. For now, I tried the follwoing Maple code GKLS_v4.mw

I think I'm doing something wrong, since the drawing generated by the attached Maple does not look much like the PDF in the attached zip (Fig. 1 of page 8).

Please, Can you help me with this?

Many thanks in advance for your comments.