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please explain the following loop with each line working details

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PULAK Kumer
PULAK Kumer 2020-12-6
评论： PULAK Kumer 2020-12-7
C=d(n,n);
fork=n-1:-1:1
C=conv(C,poly(x(k)));
m=length(C);
C(m)=C(m)+d(k,k);
end
here ,d is an array varibale

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回答（1 个）

Walter Roberson
Walter Roberson 2020-12-6
The origin of the code seems to be
https://www3.nd.edu/~zxu2/acms40390hw/newpoly.m
% NUMERICAL METHODS: MATLAB Programs, (c) John H. Mathews 1995
% To accompany the text:
% NUMERICAL METHODS for Mathematics, Science and Engineering, 2nd Ed, 1992
% Prentice Hall, Englewood Cliffs, New Jersey, 07632, U.S.A.
% Prentice Hall, Inc.; USA, Canada, Mexico ISBN 0-13-624990-6
% Prentice Hall, International Editions: ISBN 0-13-625047-5
And the topic is explored a little at
http://boron.physics.metu.edu.tr/NumericalComputations/Fall2004/week6l/week6l.pdf
It has to do with Newton Interpolating polynomials.
At the moment I do not understand how the code works, but I would expect that the Numerical Methods text would go into it further.

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