In linear algebra, the outer product typically refers to the tensor product of two vectors. The result of applying the outer product to a pair of vectors is a matrix. The name contrasts with the inner product, which takes as input a pair of vectors and produces a scalar.
The outer product of vectors can be also regarded as a special case of the Kronecker product of matrices.
Some authors use the expression "outer product of tensors" as a synonym of "tensor product". The outer product is also a higher-order function in some computer programming languages such as APL and Mathematica.
Read more about Outer Product: Definition (matrix Multiplication), Definition (abstract), Applications
Famous quotes containing the words outer and/or product:
“The guarantee that our self enjoys an intended relation to the outer world is most, if not all, we ask from religion. God is the self projected onto reality by our natural and necessary optimism. He is the not-me personified.”
—John Updike (b. 1932)
“The guys who fear becoming fathers dont understand that fathering is not something perfect men do, but something that perfects the man. The end product of child raising is not the child but the parent.”
—Frank Pittman (20th century)