This vector is projected onto eigenfaces through inner product calculations.
The two major differences between this implementation and that for a general sparse linear solver are (1) a communication-efficient approach to handle data expansion and truncation and data transpose simultaneously; (2) the interleaving of matrix-vector multiplications and vector inner product calculations to reduce synchronization cost and latency.
However, when scaling to large-scale multi-core computing, the parallelization of an AGCM which demands fast parallel computing for long-time integration or climate simulation becomes extremely challenging due to its inner complex numerical calculation.
(1) Iterative step: Given a current vector (y^{k}), pick an (N_{k} in {1, 2, ldots, N}) and start an inner loop of calculations as follows: (1.1) Inner loop initialization: Define (y^{k,0} = y^{k}).
Iterative step: Given a current vector (y^{k}), pick an (N_{k} in {1, 2, ldots, N}) and start an inner loop of calculations as follows: (1.1) Inner loop initialization: Define (y^{k,0} = y^{k}).
The second term (x) was the sum of two numbers, the inner and outer calculations.
Likewise, due to the size of these vectors the typical calculations used for computing inner products require infeasible amounts of time.
The calculation of inner meshing overhang is pointed out in dual phase transmission system.
However, the slits of the inner pipe makes the calculation of (sigma _mathrm{net}) from (sigma _s) and (tau _s) difficult.
