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Positive definiteness and stability of interval matrices. (English) Zbl 0796.65065
Interval matrices are considered that are positive definite, positive semidefinite, Hurwitz stable or Schur stable. Necessary and sufficient conditions for each of these properties are investigated. The conditions are based on corresponding properties of a finite number of real test matrices that are derived from the interval matrix under consideration.

MSC:
65G30 Interval and finite arithmetic
15B57 Hermitian, skew-Hermitian, and related matrices
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