Inexact Partial Linearization Methods for Network Equilibrium Problems

2020 ◽  
Vol 14 (1) ◽  
pp. 92-103
Author(s):  
I. V. Konnov ◽  
E. Laitinen ◽  
O. V. Pinyagina
Keyword(s):  
Equilibrium Problems ◽  
Network Equilibrium ◽  
Partial Linearization ◽  
Linearization Methods ◽  
Network Equilibrium Problems

A Nonlinear Equation Framework for Solving Network Equilibrium Problems

1984 ◽  
Vol 16 (1) ◽  
pp. 67-80 ◽  
Author(s):  
C Fisk
Keyword(s):  
Existence And Uniqueness ◽  
Equilibrium Problems ◽  
Iterative Solution ◽  
System Of Nonlinear Equations ◽  
Network Equilibrium ◽  
Convergence Properties ◽  
Equilibrium Conditions ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Network Equilibrium Problems

The author presents a general framework for formulating network equilibrium problems in which the equilibrium conditions are given by a system of nonlinear equations. Existence and uniqueness results are presented, and iterative solution techniques with well-defined convergence properties are suggested. For illustrative purposes, these techniques are applied to a specific two-mode equilibrium model; a discussion comparing some aspects of this approach with other existing approaches is included.

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