Tensor Operation
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A Tensor Operation is an matrix operation that operates on tensor structures.
- Example(s):
- See: Scalar Multiplication, Tensor Product, Tensor Contraction, Trace (Mathematics), Trace (Linear Algebra), Inner Product, Metric Tensor, Tensor Contraction#Metric Contraction, Nondegenerate Bilinear Form.
References
2017
- (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Tensor#Operations Retrieved:2017-11-3.
- There are several operations on tensors that again produce a tensor. The linear nature of tensor implies that two tensors of the same type may be added together, and that tensors may be multiplied by a scalar with results analogous to the scaling of a vector. On components, these operations are simply performed component-wise. These operations do not change the type of the tensor; but there are also operations that produce a tensor of different type.