Solvability of the system of linear inequalities

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Solvability of Parametric Interval Linear Systems of Equations and Inequalities

Considered are linear algebraic systems of equations and/or inequalities involving linear dependencies between interval-valued parameters. The goal is to characterize weak and strong solvability of such systems. Since any parametric interval equation is equivalent to a system of parametric interval inequalities, the focus is on the latter. We discuss an algorithmic procedure for characterizing ...

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Solvability of systems of interval linear equations and inequalities

This chapter deals with solvability and feasibility (i.e., nonnegative solvability) of systems of interval linear equations and inequalities. After a few preliminary sections, we delineate in Section 2.6 eight decision problems (weak solvability of equations through strong feasibility of inequalities) that are then solved in eight successive sections 2.7 to 2.14. It turns out that four problems...

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ژورنال

عنوان ژورنال: Lithuanian Mathematical Journal

سال: 1966

ISSN: 2669-1973

DOI: 10.15388/lmj.1966.19717