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Science Forum Index » Math - Numerical Analysis Forum » Please name that operator "doing" some vector product
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| Pierre-J. |
 Posted: Thu Mar 08, 2007 5:24 am |
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Guest
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Hello everyone.
I cannot name the operator op() "doing" some product between of N-vectors and defined as follows.
Let x and y be two N-vectors and A a NxN matrix.
The bilinear form transpose(x)*A*y can be rewritten as kron(y,x)*vec(A)
where kron is the kronecker product of vectors and vec() is the vectorization of a matrix.
Now, my question:
if A is symmetric, and instead of vec(A), I use vec2(A) which is the half-vectorization of A (only taking the lower triangular part) and some "new" operator op(y,x), yielding a N*(N+1)/2-vector, such that
kron(y,x)*vec(A) = op(y,x)*vec2(A).
What's the name of operator op()?
Thanks for any help. |
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