Unisolvent point set
In approximation theory, a finite collection of points
is often called unisolvent for a space
if any element
is uniquely determined by its values on
.
is unisolvent for
(polynomials in n variables of degree at most m) if there exists a unique polynomial in
of lowest possible degree which interpolates the data
.
Simple examples in would be the fact that two distinct points determine a line, three points determine a parabola, etc. It is clear that over , any collection of k + 1 distinct points will uniquely determine a polynomial of lowest possible degree in .
See also
External links
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