Re: Algorithm or method for finding maximum of a long polynomial



Thanks, Richard, that's a better way than I was thinking, to find and
solve a system of equations, I didn't explain it very well (I should
also have mentioned that the coefficients in the equation will be
within a range that's pretty small, only ever varying by about a
factor of a thousand), but I was basically trying to find one
equation... the normal of the hyperplane being vertical thing is
equivalent to all the partial derivatives being zero. I think I will
just use a dirty hack method for the boundary conditions, by inserting
another polynomial of very high order that doesn't affect the function
much within the boundaries, but drops off rapidly enough that there
will simply never be any peaks outside of the boundaries.

Unless someone suggest something better....I'm so lame, thanks for
humoring me....
.



Relevant Pages

  • Re: A flaw with Venkat Reddys arithmetic.
    ... The scale is exactly 12 inches length. ... length is what I call a region, and the marks are boundaries. ... I'm not sure of topology, but there is nothing to contain, because ... boudnaries always have zero extent in the dimnesions of a region. ...
    (sci.math)
  • Re: trigonometric series
    ... converge at the boundaries because of this fact. ... the fact that the terms are zero at that boundary. ... case for the cosine series, for there the series would diverge! ... differnece in the convergence properties of the sine and cosine series. ...
    (sci.math)
  • Re: A flaw with Venkat Reddys arithmetic.
    ... a set can't have just boundaries as its ... you can simply collapse the smaller number to zero? ... amount of singletons (sets with only one element ... beth-one to be precise. ...
    (sci.math)
  • Re: The infintely small number b
    ... No. Zero added to itself an infinite number of times is still ... Boundaries can exist as standalone objects independent of regions. ... decimal representation. ...
    (sci.math)
  • Re: A flaw with Venkat Reddys arithmetic.
    ... length is what I call a region, and the marks are boundaries. ... boudnaries always have zero extent in the dimnesions of a region. ... amount of singletons (sets with only one element ...
    (sci.math)