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The initial (order 0) forward and backward errors are given by f 0 ( n ) = x ( n ), (13) b 0 ( n ) = x ( n ) (14).
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Backward error is generally more meaningful.
The two types of error, backward error and forward error, are defined and examples presented.
It uses forward and backward error analysis with improved bounds for normal and nonnormal matrices.
An analysis of stability is normally done using backward error analysis.
The modified energy is based on backward error results for symplectic time-stepping methods.
They chose the error removal based approach, composed of error detection, system-level fault diagnosis, system repair, and backward error recovery.
In this paper, we present the integration of a backward error recovery protocol based on independent checkpointing into the XtreemGCP service.
In El Ghazi et al. [Backward error for the common eigenvector problem, CERFACS Report TR/PA/06/16, Toulouse, France, 2006], we have proved the sensitivity of computing the common eigenvector of two matrices A and B, and we have designed a new approach to solve this problem based on the notion of the backward error.
CAAs provide a coherent set of concepts adapted to fault tolerant distributed system design that includes structured transactions, distribution, cooperation, competition, and forward and backward error recovery mechanisms triggered by exceptions.
Backward error recovery (BER) is one of the most feasible strategies to build fault tolerant multiprocessors and it can be shown that among various DSM-based architectures, cache only memory architecture (COMA) is the most suitable for implementing BER.
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