Optimization of an Industrial Code (COROS) With Python ... · Title: Optimization of an Industrial...
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Optimization of an Industrial Code (COROS) With Python – Linear Algebra Routines Andrew MacLean, Supervised by Prof. Christophe Pierre, Dr. Alain Batailly and Dr. Simon Jones Department of Mechanical Engineering, McGill University, Montreal, Canada (u f q) T φ φ o o Ax = b o o o φ D. 0 10 20 30 40 50 60 70 80 90 100 calling Python lobpcg (preconditioned) lobpcg (preconditioned) eigs Computation Time (minutes) Memory Consumption (10 x MB) 1.00E-10 1.00E-08 1.00E-06 1.00E-04 1.00E-02 1.00E+00 1.00E+02 1.00E+04 0 5 10 15 20 Percent Error (log scale) Eigenfrequency lobpcg lobpcg with preconditioner 181.975 10 100 1000 10000 100000 1000000 0 50 100 150 200 250 1 st Eigenfrequency (log scale) Iterations for lobpcg lobpcg lobcg with preconditioner reference (Matlab's eigs)
Transcript of Optimization of an Industrial Code (COROS) With Python ... · Title: Optimization of an Industrial...
Optimization of an Industrial Code (COROS) With Python – Linear Algebra RoutinesAndrew MacLean, Supervised by Prof. Christophe Pierre, Dr. Alain Batailly and Dr. Simon Jones
Department of Mechanical Engineering, McGill University, Montreal, Canada
(uf q)T
φ
φ
o
o Ax = bo
o
o
φD.
0
10
20
30
40
50
60
70
80
90
100
calling Python lobpcg (preconditioned)
lobpcg(preconditioned)
eigs
Computation Time (minutes)
Memory Consumption (10 x MB)
1.00E-10
1.00E-08
1.00E-06
1.00E-04
1.00E-02
1.00E+00
1.00E+02
1.00E+04
0 5 10 15 20P
erce
nt
Err
or
(lo
g s
cale
)
Eigenfrequency
lobpcg
lobpcg with preconditioner
181.975
10
100
1000
10000
100000
1000000
0 50 100 150 200 2501st E
igen
freq
uen
cy (
log
sca
le)
Iterations for lobpcg
lobpcg
lobcg with preconditionerreference (Matlab's eigs)
