Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  proposes a method for numerically decomposing symmetric linear systems.  define system symmetries as transformations of the inputs, outputs, and states that do not change the system behavior.  show that symmetric systems can be decomposed into decoupled subsystems.  provide an algorithm for performing this decomposition that uses the input-output symmetries and minimal realizations to calculate the decomposition.
['Claus Danielson', 'Stefan Bauer']
I am writing a research paper on a idea Numerical decomposition of symmetric linear systems
[{"from": "human", "value": "I am writing a research paper on a idea Numerical decomposition of symmetric linear systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  proposes a method for numerically decomposing symmetric linear systems.  define system symmetries as transformations of the inputs, outputs, and states that do not change the system behavior.  show that symmetric systems can be decomposed into decoupled subsystems.  provide an algorithm for performing this decomposition that uses the input-output symmetries and minimal realizations to calculate the decomposition."}]