Inverse interval matrix: A survey

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منابع مشابه

Inverse interval matrix: A survey

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.

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Ela Inverse Interval Matrix: a Survey

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.

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Ela Explicit Inverse of an Interval Matrix with Unit Midpoint

Explicit formulae for the inverse of an interval matrix of the form [I − ∆, I + ∆] (where I is the unit matrix) are proved via finding explicit solutions of certain nonlinear matrix equations.

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Explicit inverse of an interval matrix with unit midpoint

Explicit formulae for the inverse of an interval matrix of the form [I − ∆, I + ∆] (where I is the unit matrix) are proved via finding explicit solutions of certain nonlinear matrix equations.

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A New Matrix Inverse

We compute the inverse of a specific infinite-dimensional matrix, thus unifying a number of previous matrix inversions. Our inversion theorem is applied to derive a number of summation formulas of hypergeometric type.

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ژورنال

عنوان ژورنال: The Electronic Journal of Linear Algebra

سال: 2011

ISSN: 1081-3810

DOI: 10.13001/1081-3810.1468