Distributing n points in space

Hi,

I have n points i don't have any coordinates, only thing i have is
distance matrix por each pair of points distance from one to the
other, i want to put them all in k<n dimensional space, it is probably
impossible to do it precisly what i want is to distribiute points in
space in in the way that minimize sum of diference between proper
distance and the real one. Is there any solution of this, does the
problem have any official name?

Thanks for replay

Adam
.

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