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

Yıl 2021, , 35 - 42, 31.12.2021

Derbal Louıza

https://doi.org/10.53508/ijiam.1036198

Öz

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.

Anahtar Kelimeler

Interior-point method Full-Newton step Polynomial complexity. P*(k)-linear complementarity problem

Kaynakça

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

Yıl 2021, , 35 - 42, 31.12.2021

Derbal Louıza

https://doi.org/10.53508/ijiam.1036198

Öz

Kaynakça

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

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik
Bölüm Makaleler
Yazarlar

Derbal Louıza

Yayımlanma Tarihi 31 Aralık 2021
Kabul Tarihi 6 Ocak 2022
Yayımlandığı Sayı Yıl 2021

Kaynak Göster

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. 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. Aralık 2021;4(2):35-42. doi:10.53508/ijiam.1036198
Chicago Louıza, Derbal. “Implementation of Interior-Point Methods for P*(k)-LCP Based on New Search Direction”. International Journal of Informatics and Applied Mathematics 4, sy. 2 (Aralık 2021): 35-42. https://doi.org/10.53508/ijiam.1036198.
EndNote Louıza D (01 Aralık 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.
IEEE D. Louıza, “Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction”, IJIAM, c. 4, sy. 2, ss. 35–42, 2021, doi: 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 (Aralık 2021), 35-42. https://doi.org/10.53508/ijiam.1036198.
JAMA Louıza D. Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction. IJIAM. 2021;4:35–42.
MLA Louıza, Derbal. “Implementation of Interior-Point Methods for P*(k)-LCP Based on New Search Direction”. International Journal of Informatics and Applied Mathematics, c. 4, sy. 2, 2021, ss. 35-42, doi:10.53508/ijiam.1036198.
Vancouver Louıza D. Implementation of Interior-point Methods for P*(k)-LCP Based on New Search Direction. IJIAM. 2021;4(2):35-42.

International Journal of Informatics and Applied Mathematics