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- In-place_matrix_transposition abstract "In-place matrix transposition, also called in-situ matrix transposition, is the problem of transposing an N×M matrix in-place in computer memory, ideally with O(1) (bounded) additional storage, or at most with additional storage much less than NM.Performing an in-place transpose (in-situ transpose) is most difficult when N ≠ M, i.e. for a non-square (rectangular) matrix, where it involves a complicated permutation of the data elements, with many cycles of length greater than 2. In contrast, for a square matrix (N = M), all of the cycles are of length 1 or 2, and the transpose can be achieved by a simple loop to swap the upper triangle of the matrix with the lower triangle. Further complications arise if one wishes to maximize memory locality in order to improve cache line utilization or to operate out-of-core (where the matrix does not fit into main memory), since transposes inherently involve non-consecutive memory accesses.The problem of non-square in-place transposition has been studied since at least the late 1950s, and several algorithms are known, including several which attempt to optimize locality for cache, out-of-core, or similar memory-related contexts.".
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- In-place_matrix_transposition wikiPageExternalLink ParTranspose2.pdf.
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- In-place_matrix_transposition wikiPageExternalLink abstract4.html.
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- In-place_matrix_transposition wikiPageExternalLink www.fftw.org.
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- In-place_matrix_transposition name "Length of the longest cycle in the in-situ transposition of a rectangular j X k matrix".
- In-place_matrix_transposition name "Number of matrix elements remaining at fixed position in the in-situ transposition of a rectangular j X k matrix".
- In-place_matrix_transposition name "Number of non-singleton cycles in the in-situ transposition of a rectangular j X k matrix".
- In-place_matrix_transposition sequencenumber "A093055".
- In-place_matrix_transposition sequencenumber "A093056".
- In-place_matrix_transposition sequencenumber "A093057".
- In-place_matrix_transposition subject Category:Articles_with_example_pseudocode.
- In-place_matrix_transposition subject Category:Numerical_linear_algebra.
- In-place_matrix_transposition subject Category:Permutations.
- In-place_matrix_transposition type Abstraction100002137.
- In-place_matrix_transposition type Change107296428.
- In-place_matrix_transposition type Event100029378.
- In-place_matrix_transposition type Happening107283608.
- In-place_matrix_transposition type Permutations.
- In-place_matrix_transposition type PsychologicalFeature100023100.
- In-place_matrix_transposition type Substitution107443761.
- In-place_matrix_transposition type Variation107337390.
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- In-place_matrix_transposition comment "In-place matrix transposition, also called in-situ matrix transposition, is the problem of transposing an N×M matrix in-place in computer memory, ideally with O(1) (bounded) additional storage, or at most with additional storage much less than NM.Performing an in-place transpose (in-situ transpose) is most difficult when N ≠ M, i.e. for a non-square (rectangular) matrix, where it involves a complicated permutation of the data elements, with many cycles of length greater than 2.".
- In-place_matrix_transposition label "In-place matrix transposition".
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