Partial pivoting of an matrix is the sorting of the rows of the matrix so that row contains the maximum absolute column value for column , among all rows . That is, we begin by swapping row 1 with the row that has the largest absolute value for the first column, then swap row 2 with the row that has the largest magnitude for the second column (among rows 2 and below), and so on.
Complete pivoting is a reordering of both rows and columns, using the same method as above. It is usually not necessary to ensure numerical stability.
- 1 G. H. Golub, C. F. Loan, Matrix Computations, 3rd edition, Johns Hopkins, 1996.
|Date of creation||2013-03-22 12:06:54|
|Last modified on||2013-03-22 12:06:54|
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