A collection of examples where Neville elimination outperforms Gaussian elimination

作者：Alonso Pedro; Delgado Jorge^*; Gallego Rafael; Manuel Pena Juan

来源：Applied Mathematics and Computation, 2010, 216(9): 2525-2533.

DOI：10.1016/j.amc.2010.03.094

• Iterative refinement
• Neville elimination
• Gaussian elimination

Neville elimination is an elimination procedure alternative to Gaussian elimination. It is very useful when dealing with totally positive matrices, for which nice stability results are known. Here we include examples, most of them test matrices used in MATLAB which are not totally positive matrices, where Neville elimination outperforms Gaussian elimination.

• 出版日期2010-7-1