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Matrix.NormL2 Method (TDenseMtxVec, boolean)

The L2-norm.

Pascal
function NormL2(const Vec: TDenseMtxVec; RelativeError: boolean = False): double; overload;

Calculates the L2 norm : ||V-Vec||, where V is calling Matrix. If the NormL2 is called without any parameters, the NormL2 calculates the norm of calling Matrix. The L2 norm of ||V-Vec|| is defined by the formula: 

 

If RelativeError is true then the computed norm is divided by the norm of V, and the function returns the "relative error": 

 

var a,b: Matrix; c: double; begin a.SetIt(1,4,False,[1,2,3,4]); b.SetIt(1,4,False,[4,3,2,1]); c := a.NormL2(b,True); // or c := NormL2(a,b,true); end;
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