function [p,d] = check(X) % CHECK(F) Displays/calculates constraint residuals on constraint F % % [pres,dres] = CHECK(F) % % pres : Primal constraint residuals % dres : Dual constraint residuals % % If no output argument is supplied, tabulated results are displayed % % Primal constraint residuals are calculated as: % % Semidefinite constraint F(x)>0 : min(eig(F)) % Element-wise constraint F(x)>0 : min(min(F)) % Equality constraint F==0 : -max(max(abs(F))) % Second order cone t>||x|| : t-||x|| % Integrality constraint on x : max(abs(x-round(x))) % Sum-of-square constraint : Minus value of largest (absolute value) coefficient % in the polynomial p-v'*v % % Dual constraints are evaluated similarily. % % See also SOLVESDP, SOLVESOS, SOSD, DUAL switch nargout case 0 check(lmi(X)); case 1 p = check(lmi(X)); case 2 [p,d] = check(lmi(X)); end