39 lines
975 B
Mathematica
39 lines
975 B
Mathematica
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function varargout = pow2(varargin)
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%POW2 (overloaded)
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switch class(varargin{1})
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case 'double'
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error('Overloaded SDPVAR/POW2 CALLED WITH DOUBLE. Report error')
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case 'sdpvar'
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varargout{1} = InstantiateElementWise(mfilename,varargin{:});
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case 'char'
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operator = struct('convexity','convex','monotonicity','increasing','definiteness','positive','model','callback');
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operator.convexhull = @convexhull;
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operator.bounds = @bounds;
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operator.derivative = @derivative;
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varargout{1} = [];
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varargout{2} = operator;
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varargout{3} = varargin{3};
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otherwise
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error('SDPVAR/POW2 called with CHAR argument?');
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end
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function df = derivative(x)
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df = log(2)*pow2(x);
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function [L,U] = bounds(xL,xU)
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L = pow2(xL);
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U = pow2(xU);
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function [Ax, Ay, b] = convexhull(xL,xU)
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fL = pow2(xL);
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fU = pow2(xU);
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dfL = log(2)*fL;
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dfU = log(2)*fU;
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[Ax,Ay,b] = convexhullConvex(xL,xU,fL,fU,dfL,dfU);
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