Biproportional
adj ·Rare ·Advanced level
Definitions
- 1 Providing two-way proportionality. not-comparable
"Given a rectangular non-negative matrix X#95;0 and two positive marginals a and b, the algorithm generates a sequence of matrices (X#95;n) starting at X#95;0, supposed to converge to a biproportional fitting, that is, to a matrix Y whose marginals are a and b and of the form Y#61;D#95;1X#95;0D#95;2, for some diagonal matrices D#95;1 and D#95;2 with positive diagonal entries. When a biproportional fitting does exist, it is unique and the sequence (X#95;n) converges to it at an at least geometric rate."
Example
More examples"Given a rectangular non-negative matrix X#95;0 and two positive marginals a and b, the algorithm generates a sequence of matrices (X#95;n) starting at X#95;0, supposed to converge to a biproportional fitting, that is, to a matrix Y whose marginals are a and b and of the form Y#61;D#95;1X#95;0D#95;2, for some diagonal matrices D#95;1 and D#95;2 with positive diagonal entries. When a biproportional fitting does exist, it is unique and the sequence (X#95;n) converges to it at an at least geometric rate."
Etymology
From bi- + proportional.
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.