Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the finite-time average-consensus problem for arbitrary connected networks. Viewing this consensus problem as a factorization of 1/n11 T  by suitable families of matrices,  prove the existence of a finite factorization and provide tight bounds on the size of the minimal factorization by exhibiting finite-time average-consensus algorithms and bounding their runtimes.  also show that basic matrix theory yields insights into the structure of finite-time consensus algorithms.
['Chih-Kai Ko', 'Xiaojie Gao']
I am writing a research paper on a idea On matrix factorization and finite-time average-consensus
[{"from": "human", "value": "I am writing a research paper on a idea On matrix factorization and finite-time average-consensus"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the finite-time average-consensus problem for arbitrary connected networks. Viewing this consensus problem as a factorization of 1/n11 T  by suitable families of matrices,  prove the existence of a finite factorization and provide tight bounds on the size of the minimal factorization by exhibiting finite-time average-consensus algorithms and bounding their runtimes.  also show that basic matrix theory yields insights into the structure of finite-time consensus algorithms."}]