Strong regularity of matrices in a discrete bottleneck algebra
نویسندگان
چکیده
منابع مشابه
An Algorithm for Checking Strong Regularity of Matrices in Bottleneck Algebras
Let (B, ≤) be a dense, linearly ordered set without maximum and minimum and (⊕, ⊗) = (max, min). An n × n matrix A = (a ij) over B is called (a) strongly regular if for some b the system A ⊗ x = b is uniquely solvable; (b) trapezoidal if the inequality a ii > i k=1 n l=k+1 a kl holds for all i = 1, .., n. We show that a square matrix is strongly regular if and only if it can be transformed to a...
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A characterization of strong regularity of interval matrices
As the main result of this paper it is proved that an interval matrix [Ac −∆, Ac +∆] is strongly regular if and only if the matrix inequality M(I − |I − RAc| − |R|∆) ≥ I has a solution, where M and R are real square matrices and M is nonnegative. Several consequences of this result are drawn.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1990
ISSN: 0024-3795
DOI: 10.1016/0024-3795(90)90281-g