Research Article
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Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction

Year 2021, Volume 4, Issue 2, 35 - 42, 31.12.2021
https://doi.org/10.53508/ijiam.1036198

Abstract

In this paper, we present an interior-point algorithm for solving p*(k)-linear complementarity problem. The
specificity of our method is to compute Newton's step using a modified system of the centrality equation. For this reason, we consider three know function in the literature applied in the centrality equation, so a new Newton's direction are determined. The convergence of these algorithms is accomplished. This search is followed by comparative study between the numerical result obtained through these three functions.

References

  • Zs. DARVAY , "New interior-point algorithms in linear programming"; AdvancedModeling and Optimization, 5(1), 51-92 , (2003).

Details

Primary Language English
Subjects Mathematics, Applied
Journal Section Articles
Authors

Derbal LOUIZA> (Primary Author)
Department of Mathematics, Ferhat Abbas Sétif1 University
Algeria

Publication Date December 31, 2021
Published in Issue Year 2021, Volume 4, Issue 2

Cite

Bibtex @research article { ijiam1036198, journal = {International Journal of Informatics and Applied Mathematics}, eissn = {2667-6990}, address = {}, publisher = {International Society of Academicians}, year = {2021}, volume = {4}, number = {2}, pages = {35 - 42}, doi = {10.53508/ijiam.1036198}, title = {Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction}, key = {cite}, author = {Louıza, Derbal} }
APA Louıza, D. (2021). Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction . International Journal of Informatics and Applied Mathematics , 4 (2) , 35-42 . DOI: 10.53508/ijiam.1036198
MLA Louıza, D. "Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction" . International Journal of Informatics and Applied Mathematics 4 (2021 ): 35-42 <https://dergipark.org.tr/en/pub/ijiam/issue/68183/1036198>
Chicago Louıza, D. "Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction". International Journal of Informatics and Applied Mathematics 4 (2021 ): 35-42
RIS TY - JOUR T1 - Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction AU - DerbalLouıza Y1 - 2021 PY - 2021 N1 - doi: 10.53508/ijiam.1036198 DO - 10.53508/ijiam.1036198 T2 - International Journal of Informatics and Applied Mathematics JF - Journal JO - JOR SP - 35 EP - 42 VL - 4 IS - 2 SN - -2667-6990 M3 - doi: 10.53508/ijiam.1036198 UR - https://doi.org/10.53508/ijiam.1036198 Y2 - 2022 ER -
EndNote %0 International Journal of Informatics and Applied Mathematics Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction %A Derbal Louıza %T Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction %D 2021 %J International Journal of Informatics and Applied Mathematics %P -2667-6990 %V 4 %N 2 %R doi: 10.53508/ijiam.1036198 %U 10.53508/ijiam.1036198
ISNAD Louıza, Derbal . "Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction". International Journal of Informatics and Applied Mathematics 4 / 2 (December 2021): 35-42 . https://doi.org/10.53508/ijiam.1036198
AMA Louıza D. Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction. IJIAM. 2021; 4(2): 35-42.
Vancouver Louıza D. Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction. International Journal of Informatics and Applied Mathematics. 2021; 4(2): 35-42.
IEEE D. Louıza , "Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction", International Journal of Informatics and Applied Mathematics, vol. 4, no. 2, pp. 35-42, Dec. 2021, doi:10.53508/ijiam.1036198

International Journal of Informatics and Applied Mathematics