Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  evaluate the effectiveness of neural networks as a tool for predicting whether a particular combination of preconditioner and iterative method will correctly solve a given sparse linear system  Ax =  b .  consider several scenarios corresponding to different assumptions about the relationship beten the systems used to train the neural network and those for which the neural network is expected to predict behavior. Greater similarity beten those two sets leads to better accuracy, but even when the two sets are very different prediction accuracy can be improved by using additional computation.
['America Holloway', 'Tzu-Yi Chen']
I am writing a research paper on a idea Neural Networks for Predicting the Behavior of Preconditioned Iterative Solvers
[{"from": "human", "value": "I am writing a research paper on a idea Neural Networks for Predicting the Behavior of Preconditioned Iterative Solvers"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  evaluate the effectiveness of neural networks as a tool for predicting whether a particular combination of preconditioner and iterative method will correctly solve a given sparse linear system  Ax =  b .  consider several scenarios corresponding to different assumptions about the relationship beten the systems used to train the neural network and those for which the neural network is expected to predict behavior. Greater similarity beten those two sets leads to better accuracy, but even when the two sets are very different prediction accuracy can be improved by using additional computation."}]