Parallel Programming: for Multicore and Cluster Systems- P42 potx
Parallel Programming: for Multicore and Cluster Systems- P42 potx
... of A and the value
chosen for the relaxation parameter ω. For example the following property holds: If
A is symmetric and positive definite and ω ∈ (0, 2), then the SOR method converges
for every ... original ordering
408 7 Algorithms for Systems of Linear Equations
Fig. 7.14 Program fragment in C notation and using MPI operations for a parallel Gauss–Seidel
iteration for...
Parallel Programming: for Multicore and Cluster Systems- P42 docx
... can be impractical for large and sparse matrices,
since fill-ins with non-zero elements increase the computational work. For banded
7.2 Direct Methods for Linear Systems with Banded Structure 395
Moreover, ... div q +1 = i for which the values
˜
x
i−1
= x
(i−1)q
and
˜
x
i+1
= x
(i+1)q
computed by
processors P
i−1
and P
i+1
are needed. Figure 7.12 illustrates the parallel algori...
Parallel Programming: for Multicore and Cluster Systems- P36 potx
... reduction oper-
ation performed in parallel by the threads of a team. For this kind of calculation
OpenMP provides the reduction clause, which can be used for parallel,
sections, and for constructs. The ... The
second parallel loop performs the matrix multiplication in a nested for loop. The
for construct applies to the first for loop with iteration variable row and, thus,...
Parallel Programming: for Multicore and Cluster Systems- P39 potx
... operations are performed for one entry according to Formula (7.4),
the computation time is
max
q∈P
N
col>k
q
· N
row>k
q
·2t
op
.
In total, the parallel execution for all phases and all steps is
T ... 3t
op
, and
n(n−1)(2n−1)
3p
· t
op
are independent of the
specific choice of p
1
and p
2
and need not be considered. The terms
n(n−1)
2
1
p
1
t
op
and
t
c
p
2
(n − 1) log p...
Parallel Programming: for Multicore and Cluster Systems- P15 potx
... 3.13 Parallel matrix–vector multiplication with (1) parallel computation of scalar products
and replicated result and (2) parallel computation of linear combinations with (a) replicated result
and ... the case for the Pthreads library, see Sect. 6.1.10
for more details. The scheduler of the operating system on the other hand is tuned
for an efficient use of the hardware resou...
Parallel Programming: for Multicore and Cluster Systems- P23 potx
... mode, the local execution and termination of a send operation is not
influenced by non-local events as is the case for the synchronous mode and can
be the case for standard mode if no or too small ... Sum
MPI
PROD Product
MPI
LAND Logical and
MPI
BAND Bit-wise and
MPI
LOR Logical or
MPI
BOR Bit-wise or
MPI
LXOR Logical exclusive or
MPI
BXOR Bit-wise exclusive or
MPI
MAXLOC Maximum...
Parallel Programming: for Multicore and Cluster Systems- P31 potx
... call removes the most recently added handler from the cleanup stack. For
execute=0, this handler will be executed when it is removed. For execute=0,
this handler will be removed without execution. ... used as cleanup handler and arg spec-
ifies the corresponding argument values. The cleanup handlers on the cleanup stack
are organized in LIFO (last-in, first-out) order, i.e., the handlers...
Parallel Programming: for Multicore and Cluster Systems- P1 ppsx
... relevant for modern and future mul-
ticore processors.
The second part presents parallel programming models, performance models,
and parallel programming environments for message passing and shared ... WaitandNotify 320
6.2.4 Extended Synchronization Patterns . . 326
Thomas Rauber · Gudula R
¨
unger
Parallel
Programming
For Multicore and Cluster Systems
123
vi Preface...
Parallel Programming: for Multicore and Cluster Systems- P2 pot
... techniques for selecting paths
through networks and switching techniques for message forwarding over a given
path. Section 2.7 considers memory hierarchies of sequential and parallel plat-
forms and ... the resources of parallel platforms and to exchange data and
information between these resources. Interconnection networks also play an impor-
tant role in multicore proces...
Parallel Programming: for Multicore and Cluster Systems- P3 pps
... multi-
threading and multicore processors requiring an explicit specification of parallelism.
2.2 Flynn’s Taxonomy of Parallel Architectures
Parallel computers have been used for many years, and many ... 2.3 (a) for an
illustration.
14 2 Parallel Computer Architecture
Chaps. 3 and 5. To perform message-passing, two processes P
A
and P
B
on different
nodes A and B issue co...