Currently LQOI considers the format: a'x+0.5 x'Qx which is the same as MOI.
However, from what I understand Xpress, Gurobi (https://www.gurobi.com/documentation/8.0/refman/c_grbaddqconstr.html#routine:GRBaddqconstr) and CPLEX (https://www.ibm.com/support/knowledgecenter/SS9UKU_12.6.0/com.ibm.cplex.zos.help/CPLEX/UsrMan/topics/cont_optim/qcp/17_QCP_duals.html)
all 3 use the format: a'x+x'Qx in its internal functions.
So I propose that LQOI does this conversion. Instead of having all the solver doing this same procedure.
@odow