WeconsidertheproblemofminimizingtheweightedsumofasmoothfunctionfandaconvexfunctionPofnrealvariablessubjecttomlinearequalityconstraints.Weproposeablock-coordinategradientdescentmethodforsolvingthisproblem,withthecoordinateblockchosenbyaGauss-Southwell-qrulebasedonsufficientpredicted