The test matrices are all from the UF sparse matrix collection, which need long time in numerical factorization.
Table 1 lists the time of numerical factorization between GSS and PARDISO. PARDISO’ s version is from Intel Composer XE 2013 SP1. GSS 2.4 use CPUGPU hybrid computing. The testing CPU is INTEL Core i74770(3.4GHz) with 24G memory. The graphics card is ASUS GTX780 (with compute capability 3.5). NVIDIA CUDA Toolkit is 5.5. The operating system is Windows 7 64. Both solvers use default parameters.
For large matrices need long time computing, GSS 2.4 is Nearly 3 times faster than PARDISO. For matrices need short time computing, PARDISO is faster than GSS. One reason is that complex synchronization between CPU/GPU do need some extra time.
Table 1 numerical factorization time between GSS and PARDISO
Matrix 
Description 
Pattern 
dimension 
Nonzero 
GSS 
PARDISO 
msdoor 
Parasol matrices: medium size door 

415863 
20240935 
1.061 
0.424 
inline_1 
structural problem: stiffness matrix 

503712 
36816342 
3.385 
2.605 
apache2 
structural problem: SPD matrix (finite difference 3D) from APACHE small 

715176 
4817870 
3.518 
4.386 
boneS10 
model reduction problem 3D trabecular bone 

914898 
55468422 
5.585 
4.636 
audikw_1 
structural problem: symmetric rb matrix 

943695 
77651847 
45.534 
122.832 
bone010 
model reduction problem: 3D trabecular bone 

986703 
71666325 
30.591 
66.892 
StocF1465 
computational fluid dynamics problem: flow in porous medium with stochastic permeabilies 

1465137 
21005389 
40.3 
106.417 
nd24k 
2D/3D problem: ND problem set 

72000 
28715634 
15.880 
85.519 
Fault_639 
structural problem: contact mechanics for model of a faulted gas reservoir 

638802 
28614564 
43.633 
186.405 
Flan_1565 
Finite element simulations: gas reservoir and structural problems. 3D model of a steel flange, hexahedral finite elements 

1564794 
117406044 
38.266 
58.004 
Emilia_923 
Finite element simulations: gas reservoir and structural problems. geomechanical model for C02 sequestration 

923136 
41005206 
82.181 
247.17 
nd12k 
ND problem set. 3D mesh problems. 

36000 
14220946 
5.210 
18.954 
sum 




315.114 
904.244 
Discussion

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