Average-case stability of Gaussian elimination
SIAM Journal on Matrix Analysis and Applications
Backward error analysis of Neville elimination
Applied Numerical Mathematics
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination
SIAM Journal on Matrix Analysis and Applications
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
Communication-efficient parallel generic pairwise elimination
Future Generation Computer Systems - Special section: Information engineering and enterprise architecture in distributed computing environments
Analysis of Pairwise Pivoting in Gaussian Elimination
IEEE Transactions on Computers
Iterative refinement for Neville elimination
International Journal of Computer Mathematics - RECENT ADVANCES IN COMPUTATIONAL AND APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING
On the stability of exponential fitting BDF algorithms
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
A note on matrices with maximal growth factor for Neville elimination
Journal of Computational and Applied Mathematics
Accurate solution of dense linear systems, part I: Algorithms in rounding to nearest
Journal of Computational and Applied Mathematics
| Hi-index | 7.30 |
Neville elimination is a direct method for solving linear systems. Several pivoting strategies for Neville elimination, including pairwise pivoting, are analyzed. Bounds for two different kinds of growth factors are provided. Finally, an approximation of the average normalized growth factor associated with several pivoting strategies is computed and analyzed using random matrices.