Explicit inverse of an interval matrix with unit midpoint
نویسندگان
چکیده
منابع مشابه
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.
متن کاملExplicit 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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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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We present the explicit inverse of a class of symmetric tridiagonal matrices which is almost Toeplitz, except that the first and last diagonal elements are different from the rest. This class of tridiagonal matrices are of special interest in complex statistical models which uses the first order autoregression to induce dependence in the covariance structure, for instance, in econometrics or sp...
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abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2011
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1430