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- Pivot_element abstract "The pivot or pivot element is the element of a matrix, or an array, which is selected first by an algorithm (e.g. Gaussian elimination, simplex algorithm, etc.), to do certain calculations. In the case of matrix algorithms, a pivot entry is usually required to be at least distinct from zero, and often distant from it; in this case finding this element is called pivoting. Pivoting may be followed by an interchange of rows or columns to bring the pivot to a fixed position and allow the algorithm to proceed successfully, and possibly to reduce round-off error. It is often used for verifying row echelon formPivoting might be thought of as swapping or sorting rows or columns in a matrix, and thus it can be represented as multiplication by permutation matrices. However, algorithms rarely move the matrix elements because this would cost too much time; instead, they just keep track of the permutations.Overall, pivoting adds more operations to the computational cost of an algorithm. These additional operations are sometimes necessary for the algorithm to work at all. Other times these additional operations are worthwhile because they add numerical stability to the final result.".
- Pivot_element wikiPageExternalLink crisscross.ps.
- Pivot_element wikiPageID "9811503".
- Pivot_element wikiPageLength "6896".
- Pivot_element wikiPageOutDegree "16".
- Pivot_element wikiPageRevisionID "697853481".
- Pivot_element wikiPageWikiLink Absolute_value.
- Pivot_element wikiPageWikiLink Algorithm.
- Pivot_element wikiPageWikiLink Array_data_structure.
- Pivot_element wikiPageWikiLink Category:Exchange_algorithms.
- Pivot_element wikiPageWikiLink Category:Numerical_linear_algebra.
- Pivot_element wikiPageWikiLink Gaussian_elimination.
- Pivot_element wikiPageWikiLink Matrix_(mathematics).
- Pivot_element wikiPageWikiLink Matrix_multiplication.
- Pivot_element wikiPageWikiLink Numerical_stability.
- Pivot_element wikiPageWikiLink Permutation_matrix.
- Pivot_element wikiPageWikiLink Quicksort.
- Pivot_element wikiPageWikiLink Row_echelon_form.
- Pivot_element wikiPageWikiLink Simplex_algorithm.
- Pivot_element wikiPageWikiLinkText "''pivoting''".
- Pivot_element wikiPageWikiLinkText "Pivot element".
- Pivot_element wikiPageWikiLinkText "Pivot_element#Pivot_position".
- Pivot_element wikiPageWikiLinkText "partial pivoting".
- Pivot_element wikiPageWikiLinkText "pivot element".
- Pivot_element wikiPageWikiLinkText "pivot".
- Pivot_element wikiPageWikiLinkText "pivoted".
- Pivot_element wikiPageWikiLinkText "pivoting".
- Pivot_element wikiPageWikiLinkText "pivots".
- Pivot_element id "1243".
- Pivot_element title "Pivoting".
- Pivot_element wikiPageUsesTemplate Template:Cite_journal.
- Pivot_element wikiPageUsesTemplate Template:Citeseerx.
- Pivot_element wikiPageUsesTemplate Template:Hatnote.
- Pivot_element wikiPageUsesTemplate Template:Numerical_linear_algebra.
- Pivot_element wikiPageUsesTemplate Template:PlanetMath_attribution.
- Pivot_element subject Category:Exchange_algorithms.
- Pivot_element subject Category:Numerical_linear_algebra.
- Pivot_element hypernym Element.
- Pivot_element type MilitaryUnit.
- Pivot_element type Algorithm.
- Pivot_element type Source.
- Pivot_element comment "The pivot or pivot element is the element of a matrix, or an array, which is selected first by an algorithm (e.g. Gaussian elimination, simplex algorithm, etc.), to do certain calculations. In the case of matrix algorithms, a pivot entry is usually required to be at least distinct from zero, and often distant from it; in this case finding this element is called pivoting.".
- Pivot_element label "Pivot element".
- Pivot_element sameAs Q1425280.
- Pivot_element sameAs Pivotelement.
- Pivot_element sameAs Pivot_(matematica).
- Pivot_element sameAs m.02psz88.
- Pivot_element sameAs Pivot_eleman.
- Pivot_element sameAs Q1425280.
- Pivot_element sameAs 主元.
- Pivot_element wasDerivedFrom Pivot_element?oldid=697853481.
- Pivot_element isPrimaryTopicOf Pivot_element.