Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
SIAM Journal on Matrix Analysis and Applications
Growth factor and expected growth factor of some pivoting strategies
Journal of Computational and Applied Mathematics
Growth factors of pivoting strategies associated with Neville elimination
Journal of Computational and Applied Mathematics
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Neville elimination is a direct method for the solution of linear systems of equations with advantages for some classes of matrices and in the context of pivoting strategies for parallel implementations. The growth factor is an indicator of the numerical stability of an algorithm. In the literature, bounds for the growth factor of Neville elimination with some pivoting strategies have appeared. In this work, we determine all the matrices such that the minimal upper bound of the growth factor of Neville elimination with those pivoting strategies is reached.