G acts on \ C ^ 2 by matrix-vector multiplication.
2.
This format allows fast row access and matrix-vector multiplications ( ).
3.
As before, vector multiplication in A is commutative, but not associative.
4.
To extend this into a full matrix-vector multiplication, the OpenCL runtime maps the kernel over the rows of the matrix.
5.
Quaternion multiplication is noncommutative ( because of the cross product, which anti-commutes ), while scalar scalar and scalar vector multiplications commute.
6.
T "'A "'explicitly in memory but only to perform the matrix-vector and transpose matrix-vector multiplications.
7.
The FMM algorithm reduces the complexity of matrix-vector multiplication involving a certain type of dense matrix which can arise out of many physical systems.
8.
Bulu?" et al . " present a sparse matrix data structure that Z-orders its non-zero elements to enable parallel matrix-vector multiplication.
9.
Ordinary matrix-vector multiplication always maps the origin to the origin, and could therefore never represent a translation, in which the origin must necessarily be mapped to some other point.
10.
For the purpose of later explanation, it will be useful to view this evaluation process as a matrix-vector multiplication, where each row of the matrix contains powers of one of the evaluation points, and the vector contains the coefficients of the polynomial:
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