27 lines
564 B
Mathematica
27 lines
564 B
Mathematica
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function [p,c] = polynomial(x,dmax,dmin)
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%POLYNOMIAL Creates parameterized polynomial
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%
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% [p,c] = polynomial(x,dmax,dmin)
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%
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% POLYNOMIAL is a quick way to define a parameterized polynomial, with all
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% monomials of dmin <= degree(p,x) <= dmax.
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%
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% Example:
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%
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% Paramterized quartic
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% x = sdpvar(2,1);
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% [p,c] = polynomial(x,4);
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%
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% See also MONOLIST, COEFFICIENTS
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if nargin<3
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dmin = 0;
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end
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v = monolist(x,dmax);
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if dmin <= dmax & dmin>0
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s = nchoosek(length(x) + dmin-1,dmin-1);
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v = extsubsref(v,s+1:length(v));
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end
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c = sdpvar(length(v),1);
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p = c'*v;
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