Algorithm-Based Fault Tolerance for Matrix Inversion with Maximum Pivoting

@article{Yeh1992AlgorithmBasedFT,
  title={Algorithm-Based Fault Tolerance for Matrix Inversion with Maximum Pivoting},
  author={Yao-Ming Yeh and Tse-Yun Feng},
  journal={J. Parallel Distrib. Comput.},
  year={1992},
  volume={14},
  pages={373-389}
}
Existing fault-tolerant matrix-inversion schemes suffer several drawbacks, such as being limited to fault detection, requiring rollback to resume computation, cost ineffectiveness, instability, significant roundoff errors, and potential false alarms. In this paper, an algorithm-based fault-tolerant scheme for matrix inversion with maximum pivoting that can rectify the above problems is presented. This scheme can correct a single fault and detect multiple faults in each row and column in each… CONTINUE READING