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The direct practical implementation of the Gaussian elimination method can lead to erroneous results if small numbers occur during the calculations. To avoid this, additional row swaps must be performed. The resulting numerical method leads to a generalised factorisation into triangular matrices.

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Elimination Methods

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  • 发表日期：

    2025年

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  • Sören Bartels

摘要

The direct practical implementation of the Gaussian elimination method can lead to erroneous results if small numbers occur during the calculations. To avoid this, additional row swaps must be performed. The resulting numerical method leads to a generalised factorisation into triangular matrices.