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Superlinear convergence of an interior-point method for monotone variational inequalities

Conference ·
OSTI ID:220597
 [1];  [2]
  1. Melbourne Univ., Parkville, VIC (Australia). Dept. of Mathematics
  2. Argonne National Lab., IL (United States). Mathematics and Computer Science Div.

We describe an infeasible-interior-point algorithm for monotone variational inequality problems and prove that it converges globally and superlinearly under standard conditions plus a constant rank constraint qualification. The latter condition represents a generalization of the two types of assumptions made in existing superlinear analyses; namely, linearity of the constraints and linear independence of the active constraint gradients.

Research Organization:
Argonne National Lab., IL (United States). Mathematics and Computer Science Div.
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-31109-ENG-38
OSTI ID:
220597
Report Number(s):
MCS-P--556-0196; CONF-9511178--2; ON: DE96007027
Country of Publication:
United States
Language:
English

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