A corrector-predictor feasible interior-point algorithm for $P_{*}(\kappa)$-weighted linear complementarity problem based on the algebraic equivalent transformation
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Bibliographic record
Abstract
We present a corrector-predictor feasible interior-point algorithm for P_{*}(\kappa)-weighted linear complementarity problems based on the new search directions derived from the specific algebraic equivalent transformation of the central path equations. The algorithm uses full-Newton step in the corrector iteration while the step size in the predictor iteration is determined in a simple way that avoids numerically expansive and complicated line search computations. Under suitable conditions, the algorithm achieves global convergence with polynomial iteration complexity matching the best-known bounds for these types of methods. Preliminary numerical results demonstrate potential efficiency and practical viability of the proposed method.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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