Parallel Programming: for Multicore and Cluster Systems- P1 ppsx
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- P11 ppsx
... of single systems and provide an abstract view for the design and analysis of
parallel programs.
3.1 Models for Parallel Systems
In the following, the types of models used for parallel processing ... assignments of Fortran 90/95, see [49, 175, 122]. Other examples for
data -parallel programming languages are C* and data -parallel C [82], PC++ [22],
DINO [151], and High...
Parallel Programming: for Multicore and Cluster Systems- P18 ppsx
... directions. For real parallel systems, this property is usually
fulfilled.
4.2 Performance Metrics for Parallel Programs 165
4.2.2 Scalability of Parallel Programs
The scalability of a parallel program ... operations must be
performed, and different load balancing may result, leading to different parallel
execution times for different program versions. Analytical modeling can...
Parallel Programming: for Multicore and Cluster Systems- P19 ppsx
... mes-
sages received in phase 2.
The phases 1 and 2 can be performed simultaneously and take time 2
d
. Phase 3
has to be performed after phase 2 and takes time ≤ 2
d
− 1. In summary, the time
2
d
+2
d
−1 ... 2
d+1
−1 results.
4.4 Analysis of Parallel Execution Times
The time needed for the parallel execution of a parallel program depends on
• the size of the input data n, and...
Parallel Programming: for Multicore and Cluster Systems- P38 ppsx
... distribution of matrix A and a column-oriented pivoting. One
step of the forward elimination computing A
(k+1)
and b
(k+1)
for given A
(k)
and b
(k)
performs the following computation and communication ... matrix A and different
right-hand side vectors b without repeating the elimination process.
7.1.1.2 Pivoting
Forward elimination and LU decomposition require the division by a...
Parallel Programming: for Multicore and Cluster Systems- P40 ppsx
... 2, ,n ,
b
(0)
i
= b
i
for i = 1, ,n ,
c
(0)
i
= c
i
for i = 1, ,n − 1 ,
y
(0)
i
= y
i
for i = 1, ,n .
and a
(0)
1
= 0, c
(0)
n
= 0. Also, for the steps k = 0, ,log n and i ∈ Z \{1, ,n}
the ... Methods for Linear Systems with Banded Structure 389
with the coefficients (7.24). The cases k = 1, 2 are special cases of this formula.
The initialization for k = 0 is the following:
a...
Parallel Programming: for Multicore and Cluster Systems- P45 ppsx
... 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...
