Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  extend the theory and practice regarding algorithmic fault-tolerant matrix-matrix multiplication, C=AB, in a number of ways. First,  propose low-overhead methods for detecting errors introduced not only in C but also in A and/or B. Second,  show that, theoretically, these methods will detect all errors as long as only one entry, is corrupted. Third  propose a low-overhead roll-back approach to correct errors once detected. Finally,  give a high-performance implementation of matrix-matrix multiplication that incorporates these error detection and correction methods. Empirical results demonstrate that these methods work ll in practice while imposing an acceptable level of overhead relative to high-performance implementations without fault-tolerance.
['John A. Gunnels', 'Daniel S. Katz', 'Enrique S. Quintana-Ortí', 'R.A. Van de Gejin']
I am writing a research paper on a idea Fault-tolerant high-performance matrix multiplication: theory and practice
[{"from": "human", "value": "I am writing a research paper on a idea Fault-tolerant high-performance matrix multiplication: theory and practice"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  extend the theory and practice regarding algorithmic fault-tolerant matrix-matrix multiplication, C=AB, in a number of ways. First,  propose low-overhead methods for detecting errors introduced not only in C but also in A and/or B. Second,  show that, theoretically, these methods will detect all errors as long as only one entry, is corrupted. Third  propose a low-overhead roll-back approach to correct errors once detected. Finally,  give a high-performance implementation of matrix-matrix multiplication that incorporates these error detection and correction methods. Empirical results demonstrate that these methods work ll in practice while imposing an acceptable level of overhead relative to high-performance implementations without fault-tolerance."}]