Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents a feasible primal algorithm for linear semidefinite programming. The algorithm starts with a strictly feasible solution, but in case where no such a solution is known, an application of the algorithm to an associate problem allows to obtain one. Finally,  present some numerical experiments which show that the algorithm works properly.
['Djamel Benterki', 'Jean-Pierre Crouzeix', 'Bachir Merikhi']
I am writing a research paper on a idea A NUMERICAL FEASIBLE INTERIOR POINT METHOD FOR LINEAR SEMIDEFINITE PROGRAMS
[{"from": "human", "value": "I am writing a research paper on a idea A NUMERICAL FEASIBLE INTERIOR POINT METHOD FOR LINEAR SEMIDEFINITE PROGRAMS"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents a feasible primal algorithm for linear semidefinite programming. The algorithm starts with a strictly feasible solution, but in case where no such a solution is known, an application of the algorithm to an associate problem allows to obtain one. Finally,  present some numerical experiments which show that the algorithm works properly."}]