Computer Engineering Commons^™

Asymptotically Optimal Algorithm For Checking Whether A Given Vector Is A Solution To A Given Interval-Quantifier Linear System, Vladik Kreinovich

Departmental Technical Reports (CS)

In many practical situations, we have a linear dependence between different quantities. In such situations, we often need to solve the corresponding systems of linear equations. Often, we know the parameters of these equations with interval uncertainty. In this case, depending on the practical problem, we have different notions of a solution. For example, if we determine parameters from observations, we are interested in all the unknowns which satisfy the given system of linear equations for some possible values of the parameters. If we design a system so that it does not exceed given tolerance bounds, then we need to …