v2006.03.09 - Convex Optimization

613GDDD T (X)D(X) TD −1 (X)D(X) −1D ⋆D ∗Gram matrix X T Xsymmetric hollow matrix of distance-square, or Euclidean distancematrix, or EDM candidateEuclidean distance matrix operatoradjoint operatortranspose of D(X)inverse operatorinverse of D(X)optimal value of variable Ddual to variable DD ◦ polar variable D∂ partial derivative or matrix of distance-square squared or, as in ∂K ,boundary of set K∂ypartial differential of yV geometric centering operator, V(D)= −V DV 1 2V NrnNdomonontoV N (D)= −V T N DV Naffine dimensiondimension of list X , or integercardinality of list X , or integerfunction domainfunction f(x) on A means A is domf , or projection of x on Ameans A is Euclidean body on which projection of x is madefunction f(x) maps onto M means f over its domain is a surjectionwith respect to M