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Pivot element

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  1. which is selected first by an algorithm (e.g. Gaussian elimination, Quicksort, Simplex algorithm), to do certain calculations with the matrix

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 21, 2008
  2. These matrix algorithms require an entry distinct from zero in pivot position to work properly or at all respectively

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 21, 2008
  3. the first element distinct from zero in a matrix in echelon form

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 21, 2008
  4. Finding this element is called pivoting

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 21, 2008
  5. In the case of Gaussian elimination, it is best to choose a pivot element with large absolute value

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 21, 2008
  6. This improves the numerical stability

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 21, 2008
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