direct sum
Noun
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Noun
direct sum (plural direct sums)
- (mathematics) coproduct in some category, like abelian group, topological space or module
- (linear algebra) A linear sum in which the intersection of the summands has dimension zero. Equivalently, a linear sum of two subspaces, any vector of which can be expressed uniquely as a sum of two vectors: one vector belonging to the first subspace, and the other vector belonging to the second subspace.
- (linear algebra) A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.002