multi-linear
Let be vector spaces over a field . A mapping
is called multi-linear or -linear, if is linear in each of its arguments.
Notes.
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A bilinear mapping is another name for a -linear mapping.
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This definition generalizes in an obvious way to rings and modules.
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An excellent example of a multi-linear map is the determinant operation.
Title | multi-linear |
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Canonical name | Multilinear |
Date of creation | 2013-03-22 12:33:05 |
Last modified on | 2013-03-22 12:33:05 |
Owner | rmilson (146) |
Last modified by | rmilson (146) |
Numerical id | 10 |
Author | rmilson (146) |
Entry type | Definition |
Classification | msc 15A69 |
Synonym | multi-linearity |
Synonym | multilinear |
Synonym | multilinearity |
Related topic | BilinearForm |
Related topic | BilinearMap |