Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this work,  extend the concept of generalized solution sets that is introduced for the first time by Shary (1996, 1999), to the interval generalized Sylvester matrix equation ∑i=1pAiXi+∑j=1qYjBj=C. Then AE-solution sets for this equation will be characterized and  develop some approaches (called algebraic approaches) in which the inner and outer estimation problems for some special cases of AE-solution sets reduce to problems of computing algebraic solutions of some auxiliary interval equations. Also  present a numerical technique that is an extension of the ll-known interval Gauss–Seidel method for outer estimation of the solution set.
['Marzieh Dehghani-Madiseh', 'Mehdi Dehghan']
I am writing a research paper on a idea Generalized solution sets of the interval generalized Sylvester matrix equation ∑i=1pAiXi+∑j=1qYjBj=C and some approaches for inner and outer estimations
[{"from": "human", "value": "I am writing a research paper on a idea Generalized solution sets of the interval generalized Sylvester matrix equation \u2211i=1pAiXi+\u2211j=1qYjBj=C and some approaches for inner and outer estimations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this work,  extend the concept of generalized solution sets that is introduced for the first time by Shary (1996, 1999), to the interval generalized Sylvester matrix equation \u2211i=1pAiXi+\u2211j=1qYjBj=C. Then AE-solution sets for this equation will be characterized and  develop some approaches (called algebraic approaches) in which the inner and outer estimation problems for some special cases of AE-solution sets reduce to problems of computing algebraic solutions of some auxiliary interval equations. Also  present a numerical technique that is an extension of the ll-known interval Gauss\u2013Seidel method for outer estimation of the solution set."}]