Overall statistics with respect to the fill-in

The following statistics is based on the number test problems that could be solved using a prescribed fill-in factor. "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, MEDIUM version, kappa=10

ILUPACK, SIMPLE version, kappa=25

ILUPACK, MEDIUM version, kappa=25

ILUPACK, SIMPLE version, kappa=50

ILUPACK, MEDIUM version, kappa=50

ILUPACK, SIMPLE version, kappa=100

ILUPACK, MEDIUM version, kappa=100

PARDISO

Performance statistics for partial differential equations (in tables)

ILUTP, percentage of successfully solved systems

ILUTP
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
AMF	81	12.0	18.0	39.0	43.0	48.0	58.0	63.0	65.0	66.0
MMD	81	12.0	19.0	39.0	47.0	55.0	61.0	69.0	72.0	73.0
RCM	81	12.0	20.0	34.0	39.0	48.0	50.0	57.0	65.0	69.0
ND	81	12.0	18.0	39.0	49.0	58.0	67.0	74.0	75.0	75.0

ILUTP + MC64
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
AMF	81	14.8	22.2	48.1	53.1	59.3	71.6	77.8	80.2	81.5
MMD	81	14.8	23.5	48.1	58.0	67.9	75.3	85.2	88.9	90.1
RCM	81	14.8	24.7	42.0	48.1	59.3	61.7	70.4	80.2	85.2
ND	81	14.8	22.2	48.1	60.5	71.6	82.7	91.4	92.6	92.6

IB-ILUC, percentage of successfully solved systems

IB-ILUC
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
AMF	81	16.0	22.0	31.0	36.0	48.0	53.0	55.0	56.0	56.0
MMD	81	14.0	21.0	33.0	38.0	49.0	56.0	58.0	59.0	59.0
RCM	81	14.0	24.0	38.0	44.0	49.0	51.0	58.0	64.0	66.0
ND	81	11.0	15.0	31.0	37.0	55.0	63.0	69.0	69.0	69.0

IB-ILUC + MC64
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
AMF	81	19.8	27.2	38.3	44.4	59.3	65.4	67.9	69.1	69.1
MMD	81	17.3	25.9	40.7	46.9	60.5	69.1	71.6	72.8	72.8
RCM	81	17.3	29.6	46.9	54.3	60.5	63.0	71.6	79.0	81.5
ND	81	13.6	18.5	38.3	45.7	67.9	77.8	85.2	85.2	85.2

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	80	16.2	36.2	55.0	67.5	78.8	82.5	87.5	90.0	91.2
MMD	80	15.0	37.5	56.2	67.5	80.0	82.5	85.0	90.0	90.0
RCM	78	14.1	43.6	62.8	70.5	78.2	80.8	83.3	88.5	89.7
PQ	80	2.5	18.8	33.8	43.8	56.2	57.5	61.2	62.5	63.8
ND	59	0.0	6.8	23.7	35.6	47.5	49.2	52.5	52.5	52.5

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	80	15.0	40.0	60.0	62.5	67.5	67.5	75.0	78.8	78.8
MMD	80	15.0	42.5	61.2	62.5	67.5	68.8	75.0	78.8	80.0
RCM	78	14.1	30.8	59.0	64.1	65.4	66.7	69.2	73.1	75.6
PQ	78	10.3	39.7	57.7	60.3	66.7	66.7	74.4	78.2	80.8
ND	79	15.2	39.2	62.0	64.6	70.9	73.4	77.2	81.0	84.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	32	0.0	12.5	43.8	65.6	87.5	90.6	96.9	96.9	96.9
MMD	28	0.0	25.0	53.6	71.4	89.3	96.4	100.0	100.0	100.0
RCM	78	15.4	39.7	60.3	71.8	75.6	79.5	84.6	88.5	91.0
PQ	77	10.4	31.2	53.2	63.6	71.4	77.9	89.6	92.2	93.5

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	80	15.0	38.8	61.2	63.8	70.0	72.5	76.2	80.0	83.8
MMD	80	15.0	38.8	61.2	66.2	68.8	73.8	78.8	82.5	86.2
RCM	78	15.4	28.2	56.4	62.8	64.1	66.7	69.2	75.6	75.6
PQ	76	7.9	23.7	59.2	60.5	67.1	75.0	86.8	89.5	92.1

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	80	13.8	31.2	53.8	65.0	77.5	82.5	86.2	90.0	90.0
MMD	80	13.8	30.0	53.8	67.5	81.2	85.0	88.8	91.2	92.5
RCM	78	15.4	24.4	51.3	67.9	78.2	82.1	83.3	89.7	91.0
PQ	78	3.8	17.9	32.1	41.0	56.4	60.3	62.8	66.7	66.7
ND	59	0.0	6.8	18.6	33.9	44.1	52.5	54.2	54.2	54.2

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	79	13.9	24.1	54.4	63.3	68.4	72.2	78.5	81.0	86.1
MMD	80	12.5	21.2	53.8	62.5	66.2	70.0	76.2	80.0	82.5
RCM	77	15.6	18.2	48.1	58.4	66.2	67.5	70.1	76.6	79.2
PQ	78	10.3	17.9	48.7	60.3	67.9	69.2	78.2	79.5	83.3
ND	79	13.9	21.5	53.2	67.1	69.6	74.7	78.5	82.3	87.3

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	32	0.0	12.5	34.4	62.5	81.2	96.9	100.0	100.0	100.0
MMD	28	0.0	17.9	46.4	60.7	85.7	96.4	100.0	100.0	100.0
RCM	77	16.9	24.7	50.6	67.5	77.9	80.5	84.4	87.0	89.6
PQ	77	10.4	23.4	48.1	57.1	66.2	74.0	84.4	92.2	94.8

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	78	14.1	21.8	53.8	67.9	70.5	75.6	79.5	83.3	88.5
MMD	79	13.9	20.3	51.9	64.6	68.4	74.7	78.5	83.5	86.1
RCM	75	16.0	18.7	42.7	61.3	66.7	68.0	73.3	80.0	82.7
PQ	76	7.9	23.7	48.7	57.9	64.5	71.1	82.9	86.8	88.2

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	80	13.8	30.0	51.2	63.8	75.0	80.0	87.5	91.2	92.5
MMD	80	13.8	27.5	45.0	65.0	76.2	80.0	88.8	91.2	91.2
RCM	78	14.1	19.2	39.7	55.1	78.2	83.3	84.6	89.7	89.7
PQ	78	2.6	16.7	30.8	39.7	48.7	51.3	62.8	66.7	66.7
ND	58	0.0	6.9	15.5	31.0	41.4	43.1	48.3	48.3	48.3

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	79	12.7	21.5	46.8	62.0	70.9	72.2	79.7	86.1	88.6
MMD	79	12.7	19.0	45.6	62.0	70.9	74.7	79.7	86.1	88.6
RCM	76	13.2	17.1	26.3	50.0	65.8	67.1	69.7	75.0	81.6
PQ	78	10.3	16.7	30.8	56.4	66.7	70.5	76.9	85.9	85.9
ND	78	14.1	20.5	42.3	61.5	70.5	71.8	78.2	83.3	87.2

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	30	0.0	13.3	30.0	60.0	80.0	83.3	93.3	93.3	93.3
MMD	24	0.0	12.5	33.3	70.8	91.7	95.8	95.8	95.8	95.8
RCM	74	16.2	20.3	40.5	59.5	82.4	85.1	89.2	91.9	91.9
PQ	77	10.4	23.4	42.9	54.5	66.2	70.1	81.8	89.6	90.9

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	78	14.1	20.5	42.3	61.5	70.5	71.8	78.2	83.3	87.2
MMD	79	12.7	20.3	39.2	63.3	70.9	72.2	77.2	83.5	86.1
RCM	64	15.6	20.3	29.7	56.2	75.0	78.1	84.4	87.5	92.2
PQ	75	8.0	25.3	46.7	57.3	62.7	70.7	81.3	85.3	89.3

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	80	12.5	28.8	45.0	62.5	71.2	78.8	86.2	90.0	95.0
MMD	80	13.8	28.8	48.8	60.0	75.0	76.2	87.5	93.8	93.8
RCM	78	12.8	16.7	29.5	38.5	64.1	83.3	87.2	91.0	91.0
PQ	80	2.5	15.0	30.0	38.8	46.2	51.2	60.0	65.0	65.0
ND	59	0.0	6.8	13.6	18.6	35.6	35.6	39.0	39.0	39.0

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	79	12.7	20.3	32.9	57.0	69.6	73.4	81.0	84.8	91.1
MMD	80	12.5	20.0	30.0	52.5	68.8	72.5	80.0	86.2	90.0
RCM	77	13.0	14.3	20.8	32.5	57.1	66.2	68.8	75.3	83.1
PQ	78	10.3	15.4	23.1	44.9	62.8	67.9	80.8	84.6	87.2
ND	79	12.7	20.3	34.2	57.0	70.9	74.7	82.3	82.3	84.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	28	0.0	14.3	28.6	39.3	75.0	75.0	82.1	82.1	82.1
MMD	23	0.0	13.0	30.4	52.2	73.9	78.3	78.3	82.6	82.6
RCM	76	13.2	17.1	27.6	38.2	63.2	85.5	89.5	92.1	92.1
PQ	77	10.4	23.4	42.9	57.1	67.5	70.1	79.2	87.0	90.9

ILUPACK + MC64
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	74	13.5	21.6	36.5	60.8	75.7	79.7	87.8	87.8	90.5
MMD	73	13.7	20.5	31.5	57.5	75.3	78.1	84.9	84.9	86.3
RCM	63	15.9	17.5	25.4	36.5	63.5	81.0	85.7	87.3	93.7
PQ	76	7.9	23.7	44.7	53.9	61.8	65.8	76.3	82.9	85.5

PARDISO, percentage of successfully solved systems

PARDISO
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
	81	0.0	0.0	0.0	0.0	13.0	38.0	60.0	70.0	74.0

PARDISO + MC64
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
	81	0.0	0.0	0.0	0.0	16.0	46.9	74.1	86.4	91.4

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

ILUC

ILUPACK, SIMPLE version, kappa=10

ILUPACK, MEDIUM version, kappa=10

ILUPACK, SIMPLE version, kappa=25

ILUPACK, MEDIUM version, kappa=25

ILUPACK, SIMPLE version, kappa=50

ILUPACK, MEDIUM version, kappa=50

ILUPACK, SIMPLE version, kappa=100

ILUPACK, MEDIUM version, kappa=100

PARDISO

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

ILUTP, percentage of successfully solved systems

ILUTP
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
AMF	14	0.0	0.0	0.0	42.9	57.1	64.3	71.4	71.4	78.6
MMD	14	0.0	0.0	0.0	28.6	50.0	57.1	64.3	71.4	71.4
RCM	15	0.0	6.7	6.7	13.3	40.0	40.0	60.0	60.0	73.3

IB-ILUC, percentage of successfully solved systems

IB-ILUC
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
AMF	14	0.0	0.0	0.0	14.3	50.0	64.3	71.4	71.4	71.4
MMD	14	0.0	0.0	0.0	14.3	50.0	57.1	64.3	71.4	71.4
RCM	15	0.0	6.7	6.7	6.7	26.7	40.0	60.0	60.0	66.7

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	66.7	100.0
MMD	15	6.7	6.7	6.7	26.7	60.0	60.0	73.3	73.3	73.3
RCM	15	0.0	6.7	6.7	6.7	33.3	40.0	60.0	66.7	66.7
PQ	15	0.0	6.7	6.7	6.7	13.3	46.7	60.0	73.3	80.0

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	66.7
MMD	15	6.7	6.7	6.7	20.0	46.7	53.3	60.0	73.3	73.3
RCM	15	0.0	6.7	6.7	6.7	20.0	20.0	53.3	53.3	73.3
PQ	15	0.0	6.7	6.7	6.7	13.3	20.0	53.3	66.7	73.3

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	100.0	100.0
MMD	15	6.7	6.7	6.7	53.3	60.0	60.0	73.3	73.3	80.0
RCM	15	0.0	6.7	6.7	6.7	40.0	46.7	60.0	66.7	66.7
PQ	15	0.0	6.7	6.7	6.7	6.7	40.0	53.3	60.0	73.3

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	66.7
MMD	14	7.1	7.1	7.1	42.9	50.0	64.3	64.3	71.4	78.6
RCM	14	0.0	7.1	7.1	7.1	21.4	35.7	57.1	71.4	71.4
PQ	14	0.0	7.1	7.1	7.1	14.3	14.3	50.0	64.3	71.4

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	100.0	100.0
MMD	15	6.7	6.7	6.7	40.0	60.0	60.0	66.7	73.3	80.0
RCM	15	0.0	6.7	6.7	6.7	40.0	46.7	60.0	73.3	80.0
PQ	15	0.0	6.7	6.7	6.7	6.7	33.3	46.7	53.3	66.7

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	66.7	66.7
MMD	12	8.3	8.3	8.3	58.3	66.7	75.0	75.0	83.3	83.3
RCM	12	0.0	8.3	8.3	8.3	25.0	58.3	66.7	83.3	83.3
PQ	13	0.0	7.7	7.7	7.7	15.4	15.4	46.2	53.8	76.9

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	66.7	100.0
MMD	15	6.7	6.7	6.7	46.7	53.3	60.0	73.3	73.3	80.0
RCM	15	0.0	6.7	6.7	6.7	40.0	53.3	60.0	73.3	73.3
PQ	15	0.0	6.7	6.7	6.7	6.7	20.0	40.0	53.3	60.0

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	3	33.3	33.3	33.3	33.3	33.3	33.3	66.7	66.7	66.7
MMD	13	7.7	7.7	7.7	46.2	61.5	69.2	69.2	84.6	84.6
RCM	13	0.0	7.7	7.7	7.7	46.2	61.5	69.2	76.9	76.9
PQ	13	0.0	7.7	7.7	7.7	15.4	15.4	38.5	61.5	61.5

PARDISO, percentage of successfully solved systems

PARDISO
ordering	#matrices	fill-in factor
		5e-01	1e+00	2e+00	2e+00	3e+00	4e+00	6e+00	8e+00	1e+01
	15	0.0	0.0	0.0	0.0	40.0	46.7	60.0	66.7	73.3

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

ILUPACK, MEDIUM version, kappa=10

ILUPACK, SIMPLE version, kappa=25

ILUPACK, MEDIUM version, kappa=25

ILUPACK, SIMPLE version, kappa=50

ILUPACK, MEDIUM version, kappa=50

ILUPACK, SIMPLE version, kappa=100

ILUPACK, MEDIUM version, kappa=100

PARDISO

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	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	55.6	77.8	88.9	94.4	100.0	100.0	100.0	100.0	100.0
MMD	18	44.4	72.2	77.8	94.4	100.0	100.0	100.0	100.0	100.0
RCM	30	33.3	60.0	83.3	83.3	90.0	90.0	93.3	100.0	100.0
PP	28	14.3	46.4	57.1	64.3	64.3	78.6	92.9	96.4	96.4

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	55.6	77.8	88.9	94.4	100.0	100.0	100.0	100.0	100.0
MMD	18	44.4	72.2	77.8	94.4	100.0	100.0	100.0	100.0	100.0
RCM	30	33.3	60.0	83.3	83.3	93.3	93.3	93.3	93.3	93.3
PP	24	16.7	50.0	62.5	75.0	75.0	75.0	87.5	95.8	95.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	50.0	72.2	77.8	94.4	94.4	100.0	100.0	100.0	100.0
MMD	18	38.9	66.7	77.8	88.9	100.0	100.0	100.0	100.0	100.0
RCM	30	33.3	60.0	83.3	83.3	90.0	93.3	96.7	100.0	100.0
PP	24	16.7	54.2	66.7	75.0	75.0	91.7	95.8	95.8	95.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	50.0	72.2	77.8	94.4	94.4	100.0	100.0	100.0	100.0
MMD	18	38.9	66.7	77.8	88.9	94.4	100.0	100.0	100.0	100.0
RCM	30	33.3	60.0	83.3	83.3	90.0	93.3	93.3	93.3	93.3
PP	24	16.7	50.0	62.5	75.0	75.0	75.0	95.8	95.8	95.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	50.0	72.2	77.8	94.4	94.4	100.0	100.0	100.0	100.0
MMD	18	38.9	66.7	77.8	88.9	94.4	100.0	100.0	100.0	100.0
RCM	30	33.3	60.0	83.3	83.3	90.0	93.3	93.3	96.7	100.0
PP	24	16.7	54.2	66.7	75.0	75.0	91.7	95.8	95.8	95.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	50.0	72.2	77.8	94.4	94.4	100.0	100.0	100.0	100.0
MMD	18	38.9	66.7	77.8	88.9	94.4	100.0	100.0	100.0	100.0
RCM	30	33.3	60.0	83.3	83.3	90.0	93.3	93.3	93.3	93.3
PP	24	16.7	50.0	62.5	75.0	75.0	75.0	95.8	95.8	95.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	50.0	72.2	77.8	94.4	94.4	100.0	100.0	100.0	100.0
MMD	18	38.9	66.7	77.8	88.9	94.4	100.0	100.0	100.0	100.0
RCM	30	33.3	56.7	83.3	83.3	90.0	93.3	93.3	93.3	93.3
PP	24	16.7	54.2	66.7	75.0	75.0	91.7	95.8	95.8	95.8

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

ILUPACK
ordering	#matrices	fill-in factor
		0.5	1.0	1.5	2.0	3.0	4.0	6.0	8.0	10.0
AMF	18	50.0	72.2	77.8	94.4	94.4	100.0	100.0	100.0	100.0
MMD	18	38.9	66.7	77.8	88.9	94.4	100.0	100.0	100.0	100.0
RCM	30	33.3	56.7	83.3	83.3	90.0	93.3	93.3	93.3	93.3
PP	24	16.7	50.0	62.5	75.0	75.0	75.0	95.8	95.8	95.8

???

m.bollhoefer@tu-bs.de

Last modified: October 11, 2011