A Convergent Algorithm for Generalized Linear Complementarity Problem in Engineering Modeling

2011 ◽  
Vol 267 ◽  
pp. 205-210
Author(s):  
Hong Chun Sun
Keyword(s):  
Error Bound ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Linear Complementarity ◽  
Generalized Linear Complementarity Problem ◽  
Levenberg Marquardt ◽  
Engineering Modeling ◽  
Convergent Algorithm

In this paper, we establish a error bound for the generalized linear complementtarity problem in engineering modeling(GLCP)which can be viewed as extensions of previously known results, based on which the famous Levenberg-Marquardt (L-M) algorithm is employed for obtaining its solution, and we show that the L-M algorithm is quadratically convergent without nondegenerate solution which is a new result for GLCP.

scholarly journals New error bound for linear complementarity problem of $ S $-$ SDDS $-$ B $ matrices

2022 ◽  
Vol 7 (2) ◽  
pp. 3239-3249
Author(s):  
Lanlan Liu ◽  
◽  
Pan Han ◽  
Feng Wang
Keyword(s):  
Error Bound ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Linear Complementarity ◽  
Numerical Examples

<abstract><p>$ S $-$ SDDS $-$ B $ matrices is a subclass of $ P $-matrices which contains $ B $-matrices. New error bound of the linear complementarity problem for $ S $-$ SDDS $-$ B $ matrices is presented, which improves the corresponding result in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>. Numerical examples are given to verify the corresponding results.</p></abstract>

Error Estimation for a Economic Equilibrium Modeling

2011 ◽  
Vol 267 ◽  
pp. 350-355
Author(s):  
Lei Wang
Keyword(s):  
Error Estimation ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Linear Complementarity ◽  
Economic Equilibrium ◽  
Global Error ◽  
Equilibrium Modeling ◽  
Generalized Linear Complementarity Problem ◽  
Global Error Estimation

In this paper, the global error estimation for the generalized linear complementarity problem in economic equilibrium modeling(GLCP) is established. The result obtained in this paper can be viewed as extensions of previously known results.

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