Overall statistics with respect to the drop tolerance

The following statistics is based on the number test problems that could be solved using a prescribed drop tolerance. "Solved" in this context means that restarted GMRES(30) converged within 500 steps of iteration (using a relative tolerance of sqrt(eps)~10^-8

performance of incomplete LU preconditioners

Abbreviations for Preconditioners
ILUPACK	inverse-based Multilevel ILU. Uses the concept of ARMS and an inverse based partial ILUC
ILUPACK - MEDIUM VERSION	medium Schur-complement used, less sensitive w.r.t. drop tolerances
ILUPACK - SIMPLE VERSION	simple Schur-complement used, more sensitive w.r.t. drop tolerances, but often faster if it works
ILUTP	incomplete LU decomposition with pivoting from SPARSKIT, based on a recent binary search tree implementation
IB-ILUC	inverse-based incomplete LU decomposition WITHOUT pivoting, based on the Crout version. The norm of the inverse triangular factors is included in the dropping strategy
PARDISO	sparse direct solver. For details see the PARDISO home page

Abbreviations for Orderings
PQ	new PQ ordering for multilevel ILU
RCM	Reverse Cuthill-McKee
MMD	minimum degree
AMF	approximate inverse fill
ND	MeTiS multilevel (node) nested dissection

Performance statistics for partial differential equations (real unsymmetric case)
ILUTP

ILUC

ILUPACK, SIMPLE version, kappa=10

ILUPACK, DEFAULT version, kappa=10

ILUPACK, SIMPLE version, kappa=25

ILUPACK, DEFAULT version, kappa=25

ILUPACK, SIMPLE version, kappa=50

ILUPACK, DEFAULT version, kappa=50

ILUPACK, SIMPLE version, kappa=100

ILUPACK, DEFAULT version, kappa=100

Performance statistics for partial differential equations (in tables)

ILUTP, percentage of successfully solved systems

ILUTP
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	81	18.5	18.5	44.4	44.4	44.4	72.8	80.2	82.7	82.7
MMD	81	18.5	18.5	35.8	35.8	35.8	60.5	69.1	75.3	79.0
RCM	81	18.5	18.5	48.1	48.1	48.1	76.5	85.2	86.4	87.7

ILUTP + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	81	16.0	16.0	46.9	46.9	46.9	76.5	81.5	81.5	81.5
MMD	81	16.0	16.0	45.7	45.7	45.7	77.8	86.4	87.7	87.7
RCM	81	14.8	14.8	43.2	43.2	43.2	79.0	84.0	84.0	85.2

IB-ILUC, percentage of successfully solved systems

IB-ILUC
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	81	17.3	18.5	22.2	27.2	28.4	29.6	30.9	32.1	32.1
MMD	81	17.3	19.8	22.2	30.9	34.6	35.8	40.7	42.0	43.2
RCM	81	28.4	33.3	43.2	48.1	51.9	51.9	54.3	55.6	59.3

IB-ILUC + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	81	16.0	33.3	49.4	59.3	61.7	64.2	67.9	69.1	71.6
MMD	81	16.0	30.9	48.1	53.1	59.3	64.2	67.9	70.4	72.8
RCM	81	17.3	42.0	72.8	76.5	76.5	77.8	80.2	81.5	85.2

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 10

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	48.8	71.2	78.8	78.8	80.0	85.0	85.0	88.8	90.0
MMD	80	48.8	70.0	80.0	80.0	82.5	85.0	86.2	88.8	90.0
RCM	78	62.8	73.1	83.3	85.9	85.9	85.9	88.5	92.3	94.9
PQ	80	46.2	73.8	83.8	86.2	87.5	90.0	92.5	96.2	97.5
ND	59	42.4	59.3	72.9	72.9	76.3	79.7	83.1	86.4	86.4

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	57.5	67.5	77.5	80.0	80.0	81.2	86.2	88.8	90.0
MMD	80	55.0	67.5	76.2	80.0	80.0	82.5	87.5	90.0	93.8
RCM	78	57.7	70.5	80.8	83.3	83.3	84.6	84.6	89.7	92.3
PQ	78	47.4	73.1	83.3	84.6	85.9	85.9	92.3	96.2	96.2
ND	79	50.6	58.2	64.6	68.4	75.9	77.2	81.0	84.8	84.8

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 10

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	48.8	71.2	78.8	78.8	80.0	85.0	85.0	88.8	90.0
MMD	80	48.8	70.0	80.0	80.0	82.5	85.0	86.2	88.8	90.0
RCM	78	62.8	73.1	83.3	85.9	85.9	85.9	88.5	92.3	94.9
PQ	80	46.2	73.8	83.8	86.2	87.5	90.0	92.5	96.2	97.5
ND	59	42.4	59.3	72.9	72.9	76.3	79.7	83.1	86.4	86.4

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	57.5	67.5	77.5	80.0	80.0	81.2	86.2	88.8	90.0
MMD	80	55.0	67.5	76.2	80.0	80.0	82.5	87.5	90.0	93.8
RCM	78	57.7	70.5	80.8	83.3	83.3	84.6	84.6	89.7	92.3
PQ	78	47.4	73.1	83.3	84.6	85.9	85.9	92.3	96.2	96.2
ND	79	50.6	58.2	64.6	68.4	75.9	77.2	81.0	84.8	84.8

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 25

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	55.0	70.0	80.0	82.5	83.8	85.0	88.8	91.2	91.2
MMD	80	53.8	68.8	80.0	83.8	85.0	87.5	88.8	91.2	91.2
RCM	78	71.8	80.8	85.9	87.2	87.2	88.5	89.7	91.0	92.3
PQ	78	48.7	75.6	83.3	85.9	87.2	89.7	92.3	94.9	96.2
ND	59	49.2	66.1	72.9	76.3	81.4	81.4	83.1	84.7	88.1

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	79	72.2	81.0	83.5	84.8	84.8	86.1	87.3	88.6	91.1
MMD	80	68.8	77.5	81.2	81.2	83.8	85.0	87.5	87.5	90.0
RCM	77	74.0	83.1	84.4	85.7	85.7	85.7	85.7	88.3	90.9
PQ	78	50.0	71.8	83.3	84.6	85.9	85.9	92.3	96.2	96.2
ND	79	65.8	77.2	79.7	82.3	83.5	83.5	83.5	86.1	87.3

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 25

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	55.0	70.0	80.0	82.5	83.8	85.0	88.8	91.2	91.2
MMD	80	53.8	68.8	80.0	83.8	85.0	87.5	88.8	91.2	91.2
RCM	78	71.8	80.8	85.9	87.2	87.2	88.5	89.7	91.0	92.3
PQ	78	48.7	75.6	83.3	85.9	87.2	89.7	92.3	94.9	96.2
ND	59	49.2	66.1	72.9	76.3	81.4	81.4	83.1	84.7	88.1

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	79	72.2	81.0	83.5	84.8	84.8	86.1	87.3	88.6	91.1
MMD	80	68.8	77.5	81.2	81.2	83.8	85.0	87.5	87.5	90.0
RCM	77	74.0	83.1	84.4	85.7	85.7	85.7	85.7	88.3	90.9
PQ	78	50.0	71.8	83.3	84.6	85.9	85.9	92.3	96.2	96.2
ND	79	65.8	77.2	79.7	82.3	83.5	83.5	83.5	86.1	87.3

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 50

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	57.5	71.2	83.8	86.2	86.2	87.5	88.8	91.2	92.5
MMD	80	56.2	68.8	83.8	86.2	86.2	87.5	88.8	91.2	91.2
RCM	78	75.6	85.9	85.9	87.2	87.2	88.5	88.5	91.0	92.3
PQ	77	50.6	76.6	84.4	87.0	88.3	90.9	93.5	96.1	98.7
ND	58	51.7	67.2	74.1	79.3	82.8	82.8	84.5	89.7	89.7

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	79	75.9	79.7	83.5	84.8	84.8	87.3	87.3	88.6	91.1
MMD	79	72.2	78.5	83.5	83.5	86.1	87.3	88.6	88.6	91.1
RCM	76	76.3	84.2	86.8	86.8	86.8	86.8	88.2	89.5	93.4
PQ	78	57.7	73.1	83.3	84.6	85.9	88.5	92.3	96.2	96.2
ND	78	78.2	82.1	84.6	84.6	84.6	84.6	84.6	87.2	88.5

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 50

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	57.5	71.2	83.8	86.2	86.2	87.5	88.8	91.2	92.5
MMD	80	56.2	68.8	83.8	86.2	86.2	87.5	88.8	91.2	91.2
RCM	78	75.6	85.9	85.9	87.2	87.2	88.5	88.5	91.0	92.3
PQ	77	50.6	76.6	84.4	87.0	88.3	90.9	93.5	96.1	98.7
ND	58	51.7	67.2	74.1	79.3	82.8	82.8	84.5	89.7	89.7

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	79	75.9	79.7	83.5	84.8	84.8	87.3	87.3	88.6	91.1
MMD	79	72.2	78.5	83.5	83.5	86.1	87.3	88.6	88.6	91.1
RCM	76	76.3	84.2	86.8	86.8	86.8	86.8	88.2	89.5	93.4
PQ	78	57.7	73.1	83.3	84.6	85.9	88.5	92.3	96.2	96.2
ND	78	78.2	82.1	84.6	84.6	84.6	84.6	84.6	87.2	88.5

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 100

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	56.2	70.0	85.0	86.2	86.2	87.5	90.0	91.2	95.0
MMD	80	56.2	67.5	82.5	86.2	87.5	87.5	88.8	91.2	93.8
RCM	78	75.6	85.9	85.9	88.5	89.7	89.7	91.0	92.3	93.6
PQ	80	53.8	75.0	82.5	85.0	86.2	90.0	91.2	92.5	97.5
ND	59	55.9	62.7	78.0	79.7	79.7	81.4	83.1	86.4	91.5

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	79	74.7	78.5	83.5	86.1	87.3	87.3	88.6	88.6	92.4
MMD	80	71.2	77.5	82.5	82.5	86.2	86.2	87.5	87.5	90.0
RCM	77	80.5	84.4	87.0	87.0	87.0	87.0	89.6	89.6	92.2
PQ	78	57.7	73.1	83.3	84.6	85.9	87.2	89.7	92.3	94.9
ND	79	78.5	82.3	83.5	83.5	83.5	83.5	84.8	86.1	87.3

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 100

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	80	56.2	70.0	85.0	86.2	86.2	87.5	90.0	91.2	95.0
MMD	80	56.2	67.5	82.5	86.2	87.5	87.5	88.8	91.2	93.8
RCM	78	75.6	85.9	85.9	88.5	89.7	89.7	91.0	92.3	93.6
PQ	80	53.8	75.0	82.5	85.0	86.2	90.0	91.2	92.5	97.5
ND	59	55.9	62.7	78.0	79.7	79.7	81.4	83.1	86.4	91.5

ILUPACK + MC64
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	79	74.7	78.5	83.5	86.1	87.3	87.3	88.6	88.6	92.4
MMD	80	71.2	77.5	82.5	82.5	86.2	86.2	87.5	87.5	90.0
RCM	77	80.5	84.4	87.0	87.0	87.0	87.0	89.6	89.6	92.2
PQ	78	57.7	73.1	83.3	84.6	85.9	87.2	89.7	92.3	94.9
ND	79	78.5	82.3	83.5	83.5	83.5	83.5	84.8	86.1	87.3

Performance statistics for partial differential equations (complex unsymmetric systems)
ILUTP

ILUC

ILUPACK, SIMPLE version, kappa=10

ILUPACK, DEFAULT version, kappa=10

ILUPACK, SIMPLE version, kappa=25

ILUPACK, DEFAULT version, kappa=25

ILUPACK, SIMPLE version, kappa=50

ILUPACK, DEFAULT version, kappa=50

ILUPACK, SIMPLE version, kappa=100

ILUPACK, DEFAULT version, kappa=100

Performance statistics for partial differential equations (complex unsymmetric case in tables)

ILUTP, percentage of successfully solved systems

ILUTP
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	15	0.0	0.0	6.7	6.7	6.7	26.7	66.7	100.0	100.0
MMD	15	0.0	0.0	6.7	6.7	6.7	20.0	66.7	100.0	100.0
RCM	15	0.0	0.0	6.7	6.7	6.7	20.0	60.0	93.3	93.3

IB-ILUC, percentage of successfully solved systems

IB-ILUC
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	15	0.0	0.0	6.7	6.7	6.7	26.7	66.7	100.0	100.0
MMD	15	0.0	0.0	6.7	6.7	6.7	26.7	60.0	93.3	93.3
RCM	15	0.0	0.0	6.7	6.7	6.7	33.3	66.7	86.7	86.7

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 10

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	15	6.7	6.7	20.0	33.3	60.0	93.3	93.3	93.3	93.3
MMD	15	6.7	6.7	26.7	33.3	40.0	66.7	93.3	93.3	93.3
RCM	15	0.0	6.7	20.0	33.3	46.7	80.0	86.7	86.7	86.7
PQ	15	6.7	6.7	13.3	20.0	40.0	86.7	86.7	86.7	86.7

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 10

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
MMD	15	6.7	6.7	20.0	33.3	60.0	93.3	93.3	93.3	93.3
RCM	15	6.7	6.7	26.7	33.3	40.0	66.7	93.3	93.3	93.3
PQ	15	0.0	6.7	20.0	33.3	46.7	80.0	86.7	86.7	86.7

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 25

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	15	6.7	6.7	20.0	26.7	40.0	100.0	100.0	100.0	100.0
MMD	15	6.7	6.7	20.0	26.7	40.0	66.7	93.3	93.3	93.3
RCM	15	0.0	6.7	20.0	40.0	53.3	80.0	86.7	86.7	86.7
PQ	15	6.7	6.7	13.3	20.0	40.0	66.7	80.0	80.0	80.0

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 25

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
MMD	15	6.7	6.7	20.0	26.7	40.0	100.0	100.0	100.0	100.0
RCM	15	6.7	6.7	20.0	26.7	40.0	66.7	93.3	93.3	93.3
PQ	15	0.0	6.7	20.0	40.0	53.3	80.0	86.7	86.7	86.7

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 50

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	15	6.7	6.7	20.0	40.0	53.3	100.0	100.0	100.0	100.0
MMD	15	6.7	6.7	26.7	33.3	46.7	66.7	93.3	93.3	93.3
RCM	15	0.0	6.7	26.7	33.3	46.7	66.7	86.7	86.7	86.7
PQ	15	6.7	6.7	13.3	13.3	33.3	60.0	80.0	80.0	80.0

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 50

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
MMD	15	6.7	6.7	20.0	40.0	53.3	100.0	100.0	100.0	100.0
RCM	15	6.7	6.7	26.7	33.3	46.7	66.7	93.3	93.3	93.3
PQ	15	0.0	6.7	26.7	33.3	46.7	66.7	86.7	86.7	86.7

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 100

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	15	6.7	6.7	20.0	40.0	53.3	100.0	100.0	100.0	100.0
MMD	15	6.7	6.7	20.0	40.0	53.3	80.0	100.0	100.0	100.0
RCM	15	0.0	6.7	26.7	33.3	46.7	73.3	93.3	93.3	93.3
PQ	15	6.7	6.7	13.3	13.3	33.3	66.7	80.0	80.0	80.0

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 100

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
MMD	15	6.7	6.7	20.0	40.0	53.3	100.0	100.0	100.0	100.0
RCM	15	6.7	6.7	20.0	40.0	53.3	80.0	100.0	100.0	100.0
PQ	15	0.0	6.7	26.7	33.3	46.7	73.3	93.3	93.3	93.3

Performance statistics for partial differential equations (real symmetric positive definite systems)
ILUPACK, SIMPLE version, kappa=10

ILUPACK, DEFAULT version, kappa=10

ILUPACK, SIMPLE version, kappa=25

ILUPACK, DEFAULT version, kappa=25

ILUPACK, SIMPLE version, kappa=50

ILUPACK, DEFAULT version, kappa=50

ILUPACK, SIMPLE version, kappa=100

ILUPACK, DEFAULT version, kappa=100

Performance statistics for partial differential equations (symmatric positive definite case in tables)

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 10

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	93.3	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	83.3	93.3	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	83.3	93.3	93.3	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 10

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	93.3	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	83.3	93.3	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	83.3	93.3	93.3	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 25

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	96.7	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	93.3	93.3	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	86.7	93.3	100.0	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 25

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	96.7	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	93.3	93.3	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	86.7	93.3	100.0	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 50

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	100.0	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	93.3	96.7	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	86.7	93.3	100.0	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 50

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	100.0	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	93.3	96.7	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	86.7	93.3	100.0	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

ILUPACK, SIMPLE version, percentage of successfully solved systems, kappa= 100

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	100.0	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	93.3	100.0	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	86.7	93.3	100.0	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

ILUPACK, MEDIUM version, percentage of successfully solved systems, kappa= 100

ILUPACK
ordering	#matrices	drop tolerance
		5e-01	2e-01	1e-01	5e-02	3e-02	1e-02	1e-03	1e-04	1e-05
AMF	30	33.3	40.0	53.3	73.3	83.3	83.3	100.0	100.0	100.0
MMD	30	26.7	40.0	53.3	73.3	83.3	93.3	100.0	100.0	100.0
RCM	30	33.3	33.3	53.3	73.3	83.3	86.7	93.3	100.0	100.0
PP	24	37.5	50.0	54.2	70.8	70.8	91.7	95.8	100.0	100.0
ND	1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0

m.bollhoefer@tu-bs.de

Last modified: October 11, 2011