On unique solvability of linear complementarity problems, horizontal linear complementarity problems and an n-absolute value equations

Shubham Kumar; Deepmala -

Makale detayları

On unique solvability of linear complementarity problems, horizontal linear complementarity problems and an n-absolute value equations

Yazarlar:

Shubham Kumar | Deepmala -

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Clinical Sciences (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.160-167

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344742

pISSN:

1304-7191

Anahtar kelimeler:

Özet:

 The complementarity problems is getting a lot of attention because it is connected to real-world problems in scientific computing and engineering. It shows up in various situations like linear and quadratic programming, two person games, circuit simulation, optimal stopping in Markov chains, contact problems with friction, finding a Nash-equilibrium in bimatrix games. The linear complementarity problems LCP and absolute value equations AVE have an equivalence relation; that is, the AVE can be transformed into an LCP and vice versa. The relationship between LCP and AVE enables the conversion of one problem into another, offering different perspectives for analysis and solution. This equivalence aids in theoretical understanding and the development of numerical methods applicable to both mathematical formulations. In the present study, we discuss the unique solvability of the LCP and the horizontal linear complementarity problems HLCP. Some superior unique solvability conditions are obtained for LCP and HLCP. The unique solvability of the n-absolute value equations    is also discussed. Some examples are highlighted for improving the current conditions of unique solutions for absolute value equations.

 The complementarity problems is getting a lot of attention because it is connected to real-world problems in scientific computing and engineering. It shows up in various situations like linear and quadratic programming, two person games, circuit simulation, optimal stopping in Markov chains, contact problems with friction, finding a Nash-equilibrium in bimatrix games. The linear complementarity problems LCP and absolute value equations AVE have an equivalence relation; that is, the AVE can be transformed into an LCP and vice versa. The relationship between LCP and AVE enables the conversion of one problem into another, offering different perspectives for analysis and solution. This equivalence aids in theoretical understanding and the development of numerical methods applicable to both mathematical formulations. In the present study, we discuss the unique solvability of the LCP and the horizontal linear complementarity problems HLCP. Some superior unique solvability conditions are obtained for LCP and HLCP. The unique solvability of the n-absolute value equations    is also discussed. Some examples are highlighted for improving the current conditions of unique solutions for absolute value equations.

 The complementarity problems is getting a lot of attention because it is connected to real-world problems in scientific computing and engineering. It shows up in various situations like linear and quadratic programming, two person games, circuit simulation, optimal stopping in Markov chains, contact problems with friction, finding a Nash-equilibrium in bimatrix games. The linear complementarity problems LCP and absolute value equations AVE have an equivalence relation; that is, the AVE can be transformed into an LCP and vice versa. The relationship between LCP and AVE enables the conversion of one problem into another, offering different perspectives for analysis and solution. This equivalence aids in theoretical understanding and the development of numerical methods applicable to both mathematical formulations. In the present study, we discuss the unique solvability of the LCP and the horizontal linear complementarity problems HLCP. Some superior unique solvability conditions are obtained for LCP and HLCP. The unique solvability of the n-absolute value equations    is also discussed. Some examples are highlighted for improving the current conditions of unique solutions for absolute value equations.

 The complementarity problems is getting a lot of attention because it is connected to real-world problems in scientific computing and engineering. It shows up in various situations like linear and quadratic programming, two person games, circuit simulation, optimal stopping in Markov chains, contact problems with friction, finding a Nash-equilibrium in bimatrix games. The linear complementarity problems LCP and absolute value equations AVE have an equivalence relation; that is, the AVE can be transformed into an LCP and vice versa. The relationship between LCP and AVE enables the conversion of one problem into another, offering different perspectives for analysis and solution. This equivalence aids in theoretical understanding and the development of numerical methods applicable to both mathematical formulations. In the present study, we discuss the unique solvability of the LCP and the horizontal linear complementarity problems HLCP. Some superior unique solvability conditions are obtained for LCP and HLCP. The unique solvability of the n-absolute value equations    is also discussed. Some examples are highlighted for improving the current conditions of unique solutions for absolute value equations.

Makale detayları

On unique solvability of linear complementarity problems, horizontal linear complementarity problems and an n-absolute value equations

Yazarlar:

Shubham Kumar | Deepmala -

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Clinical Sciences (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.160-167

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344742

pISSN:

1304-7191

Absolute Value Equations

Horizontal Linear Complementarity Problems

Linear Complementarity Problems

Unique Solvability

Sayı

Makale detayları

On unique solvability of linear complementarity problems, horizontal linear complementarity problems and an n-absolute value equations

Yazarlar: Shubham Kumar | Deepmala -

Yayıncı: Yildiz Technical University

Ana Başlıklar: Clinical Sciences (Other)

Dergi: Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.160-167

Belge Tipi: Makale

Yayın Tarihi: 2/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001344742

pISSN: 1304-7191

Absolute Value Equations

Horizontal Linear Complementarity Problems

Linear Complementarity Problems

Unique Solvability

Sayı

Yazarlar:

Shubham Kumar | Deepmala -

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Clinical Sciences (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.160-167

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344742

pISSN:

1304-7191