2017
Том 69
№ 9

All Issues

Perturbation and error analyses of partitioned LU factorization for block tridiagonal linear systems

Huang Ting-Zhu, Wu Chi-Yе


Abstract

The perturbation and backward error analyses of the partitioned LU factorization for block tridiagonal matrices are presented. Moreover, we consider the perturbation bounds for the partitioned LU factorization for block tridiagonal linear systems. Finally, numerical examples are given to verify our results.

Citation Example: Huang Ting-Zhu, Wu Chi-Yе Perturbation and error analyses of partitioned LU factorization for block tridiagonal linear systems // Ukr. Mat. Zh. - 2016. - 68, № 12. - pp. 1683-1695.