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on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولOn Unboundedness of Generalized Solution Sets for Interval Linear Systems
The work presents a necessary and sufficient condition for the generalized AE-solution sets to interval linear systems of equations to be unbounded. The criterion requires solvability of one of the totality of 2 linear inequalities constructed from the initial interval system. It is shown that the problem of recognizing the boundedness of AE-solution sets is NP-complete in general.
متن کاملOn Nonnegative Interval Linear Systems and Their Solution
The work considers solution of various problems for interval linear systems with nonnegative matrices. Relying on shape monotonicity of the solution sets to such interval systems, we develop a new technique for constructing maximal (with respect to inclusion) inner estimates of the solution sets to nonnegative interval linear equations systems. The main result is extended to general AE-solution...
متن کاملEnclosures for the solution set of parametric interval linear systems
We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer–Skeel and the Hansen–Bliek–Rohn bounds for this case, comparing and refinement of both. We show that the latter bounds are not provable better, and that they are also sometimes too pessimistic. The presented form of both methods is suitable for combining them into one to get a more e...
متن کاملMinimal solution of fuzzy linear systems
In this paper, we use parametric form of fuzzy number and we converta fuzzy linear system to two linear system in crisp case. Conditions for the existence of a minimal solution to $mtimes n$ fuzzy linear equation systems are derived and a numerical procedure for calculating the minimal solution is designed. Numerical examples are presented to illustrate the proposed method.
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ژورنال
عنوان ژورنال: Computing
سال: 1992
ISSN: 0010-485X,1436-5057
DOI: 10.1007/bf02320201