Title of article
A method for solving the system of linear equations and linear inequalities
Author/Authors
Pang، نويسنده , , Li-Ping and Spedicato، نويسنده , , Emilio and Xia، نويسنده , , Zun-Quan and Wang، نويسنده , , Wei، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
14
From page
823
To page
836
Abstract
A method, called the (I.) ABS-MPVT algorithm, for solving a system comprising linear equations and linear inequalities is presented. This method is characterized by solving the system of linear equations first via the ABS algorithms and then solving an unconstrained minimization obtained by substituting the ABS general form of solutions into the system of linear inequalities. For the unconstrained minimization problem it can be solved by a (modified) parallel algorithm. The convergence of this method is also given.
Keywords
Nonlinear programming , ABS algorithms , Abaffian matrix , System of linear inequalities , System of linear equations , Parallel algorithm , Convex programming , minimax
Journal title
Mathematical and Computer Modelling
Serial Year
2007
Journal title
Mathematical and Computer Modelling
Record number
1594643
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