vector multiplicationの例文

• G acts on \ C ^ 2 by matrix-vector multiplication.
• This format allows fast row access and matrix-vector multiplications ( ).
• As before, vector multiplication in A is commutative, but not associative.
• To extend this into a full matrix-vector multiplication, the OpenCL runtime maps the kernel over the rows of the matrix.
• Quaternion multiplication is noncommutative ( because of the cross product, which anti-commutes ), while scalar scalar and scalar vector multiplications commute.
• T "'A "'explicitly in memory but only to perform the matrix-vector and transpose matrix-vector multiplications.
• 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.
• Bulu?" et al . " present a sparse matrix data structure that Z-orders its non-zero elements to enable parallel matrix-vector multiplication.
• 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.
• 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:
• :: Actually I'm using an iterative method to solve Ax = b, and I guess it's simple, because I only need to do matrix vector multiplications in these methods ( e . g ., conjugate gradient, GMRES ).
• Due to the ubiquity of matrix multiplications in many scientific applications, including for the implementation of the rest of Level 3 BLAS, and because faster algorithms exist beyond the obvious repetition of matrix-vector multiplication, gemm is a prime target of optimization for BLAS implementers.
• The little research that has been done on this feature indicates that it may not be trivial to get high performance gains by using MPI-IO . For example, an implementation of sparse matrix-vector multiplications using the MPI I / O library shows a general behaviour of negligible performance gain, but these results are inconclusive.