Add to ORKGIt is known that in general, solving interval linear systems is NP-hard. There exist several proofs of this NP-hardness, and all these proofs use examples with intervals of different width – corresponding to different accuracy in measuring different coefficients. For some classes of interval linear systems with the same accuracy, feasible algorithms are known. We show, however, that in general, solving interval linear systems is NP-hard even when all inputs are known with the same accuracy
Main topic of this thesis is solving interval linear systems. At first, we describe the structure of...
International audienceIn this paper we treat the case of some fundamental interval matrix operations...
In the literature efficient algorithms have been described for calculating guaranteed inclusions for...
It is known that in general, solving interval linear systems is NP-hard. There exist several proofs ...
AbstractWe prove that it is NP-hard to decide whether the solution set of a system of linear interva...
In interval computations, usually, once we prove that a problem of computing the exact range is NP-h...
First, basic aspects of interval analysis, roles of intervals and their applications are addressed. ...
One of the basic problems of interval computations is to compute a range of a given function f(x1,.....
In many real-life applications of interval computations, the desired quantities appear (in a good ap...
Linear systems represent the computational kernel of many models that describe problems arising in t...
Linear systems represent the computational kernel of many models that describe problems arising in t...
We prove that a system of linear inequalities with interval-valued data is weakly solvable (each sys...
It is known that, in general, the problem of computing the range of a given polynomial on given inte...
This paper deals with the problems of checking strong solvability and feasibility of linear interval...
In many real-life situations, we only have partial information about probabilities. This information...
Main topic of this thesis is solving interval linear systems. At first, we describe the structure of...
International audienceIn this paper we treat the case of some fundamental interval matrix operations...
In the literature efficient algorithms have been described for calculating guaranteed inclusions for...
It is known that in general, solving interval linear systems is NP-hard. There exist several proofs ...
AbstractWe prove that it is NP-hard to decide whether the solution set of a system of linear interva...
In interval computations, usually, once we prove that a problem of computing the exact range is NP-h...
First, basic aspects of interval analysis, roles of intervals and their applications are addressed. ...
One of the basic problems of interval computations is to compute a range of a given function f(x1,.....
In many real-life applications of interval computations, the desired quantities appear (in a good ap...
Linear systems represent the computational kernel of many models that describe problems arising in t...
Linear systems represent the computational kernel of many models that describe problems arising in t...
We prove that a system of linear inequalities with interval-valued data is weakly solvable (each sys...
It is known that, in general, the problem of computing the range of a given polynomial on given inte...
This paper deals with the problems of checking strong solvability and feasibility of linear interval...
In many real-life situations, we only have partial information about probabilities. This information...
Main topic of this thesis is solving interval linear systems. At first, we describe the structure of...
International audienceIn this paper we treat the case of some fundamental interval matrix operations...
In the literature efficient algorithms have been described for calculating guaranteed inclusions for...