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Box Valued Functions in Solving Systems of Equations and Inequalities

Numerical Algorithms, 2004
The authors construct reliable numerical methods for the solution of systems of equations and systems of inequalities. The methods make use of special box-valued functions -- so-called zone functions. Effectiveness of the methods is examined. Program implementation is dicussed and numerical experiments are provided.
Ferenc Kálovics, Gabriella Mészáros
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Variational Inequalities, System of Functional Equations, and Incomplete Information Repeated Games

SIAM Journal on Control and Optimization, 2001
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Affine and Linear Functions and Transformations (Matrices), Linear Economic Models, Systems of Linear Equations and Inequalities

2016
In this chapter we discuss the notions of proportionality, linear and affine functions, and homogeneity. The matrix algebra is introduced to explain some linear, economic models (Leontieff, von Neumann). We discuss systems of linear equations and their solution in full detail.
Wolfgang Eichhorn, Winfried Gleißner
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