... corresponding implementation.
Fig. 7.28 Parallel supernodal
algorithm
7.6 Exercises for Chap. 7
Exercise 7.1 For an n ×m matrix A and vectors a and b of length n write a parallel
MPI program which computes ... D.E. Culler, A.C. Dusseau, R.P. Martin, and K.E. Schauser. Fast Parallel Sorting Under
LogP: From Theory to Practice. In Portability and Performance for Parallel P...
... description of XY routing for two-dimensional meshes and E-cube
routing for hypercubes as typical examples for dimension-order routing algorithms.
XY Routing for Two-Dimensional Meshes
For a two-dimensional ... {n
1
, ,n
k
} exists such that for 1 ≤ i < k each
message N
i
uses a link n
i
for transmission and waits for the release of link n
i+1
which is currently used f...
... matrices [127].
The GA approach is provided as a library with interfaces for C, C++, and Fortran
for different parallel platforms. The GA approach is based on a global address space
in which global ... synchronization are performed by the runtime
system, and no low-level lock synchronization must be performed.
Chapel has been developed by Cray Inc. as a new parallel language for...
... team. This fork
operation is performed implicitly. The program code inside the parallel construct
is called a parallel region and is executed in parallel by all threads of the team.
The parallel ... sophisticated implementa-
tions may queue command for execution by one of a set of threads. For multicore
processors, several threads are typically available for the execution of...
... coefficient matrix A = (a
ij
) ∈ R
n×n
is
symmetric and positive definite, i.e., if a
ij
= a
ji
and x
T
Ax > 0 for all x ∈ R
n
with
x = 0. For a symmetric and positive definite n × n matrix A ∈ R
n×n
there ... Factorization for Sparse Matrices 431
identify its original position in the full matrix. Thus, a compressed storage scheme
for sparse matrices needs the space for the n...