A new algorithm-based fault tolerance technique for computing matrix operations

The paper proposes a new algorithm-based fault tolerance (ABFT) technique for computing matrix operations. The scheme provides fault tolerant capability to linear or rectangular processor arrays so that all single PE faults can be tolerated. It also shows that the effect of implementation problems (overflow, round-off errors, and hardware overhead which includes encoding/decoding logic) on the proposed scheme is significantly less than that on other existing schemes