Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

Show values that satisfy an inequality on a set of axes by drawing the line of the corresponding equation and shading the area specified in a question. Include a dashed line for inequalities where the ...

Abstract: Many problems in system and control areas are in the form of Linear matrix inequalities (LMIs). Methods such as interior point methods have been applied to solve these problems. However, for ...

Abstract: The randomized algorithm of G. Calafiore and B. Polyak (2000), which consists of random sampling and sub-gradient descent, is analyzed in the case where it is used to solve ...

Inequalities are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥. \(7 \textgreater x\) reads as '7 is greater than \(x\)' ...

This paper deals with the stability of systems of linear inequalities in partially ordered Banach spaces when the data are subjected to small perturbations. We show that a certain condition is ...