On the backward stability of Gauss-Jordan elimination

Computing - 1991
P. Y. Yalamov1
1Department of Mathematics, Technical University, Russe, Bulgaria

Tóm tắt

Backward stability of Gauss-Jordan elimination is discussed. The method proposed in [4] with some modifications is used. The basic tool of this method is the graph of the algorithm and its parallel structure. The systemUx=c, whereU is ann×n upper triangular matrix, is considered for simplicity. Then estimates of the equivalent perturbations depending quadratically onn are obtained.

Từ khóa


Tài liệu tham khảo

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