Table 1 Test results for Algorithm 1 and SSN
From: A new semismooth Newton method for solving finite-dimensional quasi-variational inequalities
Problem | \(x^{0}\) | Algorithm 1 | SSN | ||||
|---|---|---|---|---|---|---|---|
iter | Ψ | Y(x,λ,ν) | iter | Ψ | Y(x,λ,ν) | ||
Box2A | 10 | 14 | 17 | 2.8478e−05 | 24 | 77 | 4.1771e−06 |
Box2B | 10 | Failure | 26 | 89 | 8.1684e−06 | ||
Box3A | 10 | 10 | 14 | 2.0397e−05 | 10 | 14 | 5.7049e−07 |
Box3B | 10 | Failure | Failure | ||||
KunR11 | 0 | Failure | 14 | 26 | 7.1161e−05 | ||
KunR12 | 0 | Failure | 20 | 53 | 5.1480e−05 | ||
KunR21 | 0 | Failure | 5 | 5 | 2.8047e−05 | ||
KunR22 | 0 | Failure | 5 | 5 | 2.4567e−05 | ||
KunR31 | 0 | Failure | Failure | ||||
KunR32 | 0 | Failure | Failure | ||||
MoveSet3A1 | 0 | Failure | Failure | ||||
MoveSet3A2 | 0 | Failure | Failure | ||||
MoveSet3B1 | 0 | Failure | Failure | ||||
MoveSet3B2 | 0 | Failure | Failure | ||||
MoveSet4A1 | 0 | 11 | 27 | 5.2971e−10 | 11 | 27 | 2.6602e−06 |
MoveSet4A2 | 0 | 13 | 41 | 2.0149e−09 | 13 | 43 | 4.0769e−07 |
MoveSet4B1 | 0 | 11 | 28 | 3.0273e−08 | 11 | 28 | 8.0836e−07 |
MoveSet4B2 | 0 | 13 | 40 | 1.2611e−08 | 13 | 42 | 8.7163e−07 |
OutKZ31 | 0 | 8 | 11 | 2.3605e−09 | 7 | 10 | 2.6128e−06 |
OutKZ41 | 0 | 11 | 20 | 6.2950e−06 | 11 | 21 | 1.7394e−05 |
OutZ40 | 0 | 5 | 5 | 2.5263e−08 | 5 | 5 | 2.5270e−08 |
OutZ41 | 0 | 5 | 5 | 2.8060e−08 | 5 | 5 | 8.6320e−07e−08 |
OutZ42 | 0 | 6 | 7 | 7.7261e−07 | 6 | 7 | 9.2896e−07 |
OutZ43 | 0 | 4 | 4 | 5.2452e−05 | 4 | 4 | 5.2459e−05 |
OutZ44 | 0 | 4 | 4 | 4.8112e−05 | 4 | 4 | 4.9362e−05 |
RHS1A1 | 0 | 35 | 242 | 2.5881e−08 | Failure | ||
RHS1A1 | 10 | 35 | 242 | 2.5880e−08 | Failure | ||
RHS2B1 | 0 | 70 | 559 | 2.3303e−08 | Failure | ||
RHS2B1 | 10 | 70 | 559 | 2.3303e−08 | Failure | ||
Scrim22 | 0 | 10 | 19 | 2.0003e−05 | 10 | 20 | 3.5249e−06 |
Wal2 | 0 | 17 | 63 | 8.0835e−07 | 20 | 78 | 2.2062e−07 |
Wal3 | 0 | 13 | 41 | 5.0018e−05 | Failure | ||