# pivot (or pivot element)

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##### 1: 3.2 Linear Algebra

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►To avoid instability the rows are interchanged at each elimination step in such a way that the absolute value of the element that is used as a divisor, the

*pivot element*, is not less than that of the other available elements in its column. …This modification is called*Gaussian elimination with partial pivoting*. ►For more information on pivoting see Golub and Van Loan (1996, pp. 109–123). … ►Assume that $\mathbf{A}$ can be factored as in (3.2.5), but without partial pivoting. …