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حسابداری و مالی::
آنتیمونوتونیک
dependent (also called antimonotonic).
Hence, consistent with (8), the algorithm effectively consists in rearranging the values within each column such that the rearranged matrix, denoted by M∗ := (x∗ ), satisfies the condition that all columns are antimonotonic with the sum of all other columns; for this observation, see Puccetti and Ru¨schendorf (2012a, Theorem 2.1)).9 Specifically,
Rearrange the values in each column such that the column becomes antimonotonic to the sum of all other columns and denote the matrix after rearrangement by M∗.
Hence, as before we rearrange the values in the columns of S such that the rearranged matrix S∗ has the property that all columns are antimonotonic with the sum of all other columns; see Algorithm 1 in Section 3.2.
, v1]T where vj appears dj times, such that it is antimonotonic to the sum of the j − 1 first vectors of the matrix.
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