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RISPractical methods for evaluating the accuracy of the eigenelements of a symmetric matrix
The results of the Householder and QL algorithms for determining the eigenelements of a symmetric matrix,provided by a computer, always contain the errors resulting from floating-point arithmetic round-off error propagation. The Permutation...
The use of the CADNA library for validating the numerical results of the hybrid GMRES algorithm
Over the past several years a number of hybrid algorithms have been proposed for solving large sparse systems of linear algebraic equations. In this paper we consider the hybrid GMRES algorithm by Nachtigal, Reichel and ...
An FSM-based Monitoring Technique to Differentiate Between Follow-up and Original Errors in Safety-Critical Distributed Embedded Systems
Nowadays, distributed embedded systems are employed in many safety-critical applications such as X-by-Wire. These systems are composed of several nodes interconnected by a network. Studies show that a transient fault in ...
Numerical accuracy of a certain class of iterative methods for solving linear system
One of the most important problem for solving the linear system Ax = b, by using the iterative methods, is to use a good stopping criterion and to determine the common significant digits between each corresponding components ...