COMPLEXITY ANALYSIS OF LARGE-UPDATE INTERIOR-POINT METHODS FOR π“Ÿβˆ—(𝜿)-HLCP BASED ON A NEW PARAMETRIC KERNEL FUNCTION

  • Mokrani Ibtissam Department of Mathematics, University of Batna 2, Algeria
  • Chalekh Randa Department of Mathematics, University of Batna 2, Algeria
  • Djeffal El Amir Department of Mathematics, University of Batna 2, Algeria
DOI: https://doi.org/10.19139/soic-2310-5070-2345
Keywords: $\mathcal{P}_*(\kappa)$-Horizontal Linear Complementarity Problem, interior-point methods, kernel function, large-update method

Abstract

This work proposes a primal-dual interior point technique for π’«βˆ—(πœ…)-Horizontal Linear Complementarity Problem (π’«βˆ—(πœ…)-HLCP), based on a novel parameterized kernel function. Our new eligible parametric kernel function’s feature produces the following iteration bound 𝑂(((𝑝+1)(𝑛𝑝)𝑝+22(𝑝+1)β„π‘™π‘œπ‘”(π‘›πœ€))) for the large-update method. Finally, we present numerical results demonstrating the algorithm’s pratical performance among various parameters.
Published
2025-04-24
How to Cite
Ibtissam, M., Randa, C., & El Amir, D. (2025). COMPLEXITY ANALYSIS OF LARGE-UPDATE INTERIOR-POINT METHODS FOR π“Ÿβˆ—(𝜿)-HLCP BASED ON A NEW PARAMETRIC KERNEL FUNCTION. Statistics, Optimization & Information Computing, 14(1), 193-206. https://doi.org/10.19139/soic-2310-5070-2345
Issue
Vol 14 No 1 (2025)
Section
Research Articles
Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under aΒ Creative Commons Attribution LicenseΒ that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
    2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
    3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (SeeΒ The Effect of Open Access).