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单词 partial pivoting
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partial pivoting
partial pivoting n. Mathematics pivoting (pivoting n.) in which the choice of pivot at each stage is restricted to the largest element in the first column (or the first row) of the relevant part of the matrix, rather than the largest in all its columns or rows.
ΚΠ
1961 Jrnl. Assoc. Computing Machinery 8 282 We derive first an upper bound for R when a general matrix is reduced to triangular form by Gaussian elimination, selecting as pivotal element at each stage the element of maximum modulus in the whole of the remaining square matrix. We refer to this as ‘complete’ pivoting for size, in contrast to the selection of the maximum element in the leading column at each stage, which we call ‘partial’ pivoting for size.
1973 G. M. Phillips & P. J. Taylor Theory & Applic. Numerical Anal. viii. 197 Partial pivoting using only row interchanges is preferable to that with only column interchanges.
1996 SIAM Jrnl. Numerical Anal. 56 28 The truncated systems are then solved by using a subroutine from the linpack library based on Gaussian elimination with partial pivoting.
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