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Table 14 Comparison between the SHPT and the MSA path tracking methods

From: Speed-up hyperspheres homotopic path tracking algorithm for PWL circuits simulations

Example

2

3

4

Starting point

SP3

SP1

SP1

Characteristic

SHPT

MSA1

MSA2

SHPT

MSA1

MSA2

SHPT

MSA1

MSA2

Total iterations

2000

2000

1501

1000

1000

345

400

400

2

Hypersphere radius

0.05

0.05

0.05

0.1

0.1

0.1

0.1

0.1

0.1

Reversion phenomenon

No

No

Yes

No

No

Yes

No

No

Yes

Solutions found

3

3

2

5

5

0

3

3

0

Straight Line iterations

1937

0

0

802

0

0

214

0

0

Hypersphere iterations (NRM)

63

2000

1501

198

2000

345

186

400

2

Total computing time (s)

12.48

87.65

*

224.73

798.16

*

48.75

90.35

*

Straight Line computing time

1.41

87.65

*

6.56

0

*

1.14

0

*

Hyperspheres computing time

11.07

87.65

*

218.16

798.16

*

47.61

90.35

*