Mercurial > hg > octave-nkf
diff scripts/polynomial/polyvalm.m @ 561:e79ff1f4df3c
[project @ 1994-07-25 22:32:08 by jwe]
Initial revision
author | jwe |
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date | Mon, 25 Jul 1994 22:32:08 +0000 |
parents | |
children | 3470f1e25a79 |
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new file mode 100644 --- /dev/null +++ b/scripts/polynomial/polyvalm.m @@ -0,0 +1,40 @@ +function y = polyvalm(c,x) +#Evaluate a polynomial in the matrix sense. +# +#In octave, a polynomial is represented by it's coefficients (arranged +#in descending order). For example a vector c of length n+1 corresponds +#to the following nth order polynomial +# +# p(x) = c(1) x^n + ... + c(n) x + c(n+1). +# +#polyvalm(c,X) will evaluate the polynomial in the matrix sense, i.e. matrix +#multiplication is used instead of element by element multiplication as is +#used in polyval. +# +#X must be a square matrix. +# +#SEE ALSO: polyval, poly, roots, conv, deconv, residue, filter, +# polyderiv, polyinteg + +# Author: +# Tony Richardson +# amr@mpl.ucsd.edu +# June 1994 + + if(nargin != 2) + error("usage: polyvalm(c,x)"); + endif + + if(is_matrix(c)) + error("poly: first argument must be a vector."); + endif + + if(!is_square(x)) + error("poly: second argument must be a square matrix."); + endif + + [v, d] = eig(x); + + y = v * diag(polyval(c,diag(d))) * v'; + +endfunction