Rohn, Jiri; Farhadsefat, Raena

Inverse interval matrix: a survey

Electron. J. Linear Algebra 22, 704-719, electronic only (2011)

Summary

Summary: Results on the inverse interval matrix, both theoretical and computational, are surveyed. Described are, among others, formulae for the inverse interval matrix, NP-hardness of its computation, various classes of interval matrices for which the inverse can be given explicitly, and closed-form formulae for an enclosure of the inverse.

Mathematics Subject Classification

15A09, 65G20, 65G40

Keywords/Phrases

interval matrix, inverse interval matrix, NP-hardness, enclosure, unit midpoint, inverse sign stability, nonnegative invertibility, absolute value equation, algorithm

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