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pivot (or pivot element)


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1: 3.2 Linear Algebra
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 𝐀 can be factored as in (3.2.5), but without partial pivoting. …