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Browsing by Author "Adm, Mohammad"

Browsing by Author "Adm, Mohammad"

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  • Adm, Mohammad; Kittaneh, Fuad (Linear Algebra and its Applications, 2012-04-01)
    We apply several matrix inequalities to the derivative companion matrices of complex polynomials to establish new bounds and majorization relations for the critical points of these polynomials in terms of their zeros.
  • Adm, Mohammad; Garloff, Juergen (Electronic Journal of Linear Algebra, 2014)
    Totally nonnegative matrices, i.e., matrices having all minors nonnegative, are considered. A condensed form of the Cauchon algorithm which has been proposed for finding a parameterization of the set of these matrices with ...
  • Adm, Mohammad; Garloff, Juergen (Linear and Multilinear Algebra, 2016)
    We consider classes of n-by-n sign regular matrices, i.e. of matrices with the property that all their minors of fixed order k have one specified sign or are allowed also to vanish, k = 1,..., n. If the sign is nonpositive ...
  • Adm, Mohammad; Garloff, Juergen (Linear Algebra and its Applications, 2013)
    Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard ordering are considered. It is proven that if the two bound matrices of such a matrix ...
  • Adm, Mohammad; Garloff, Juergen (Operators and Matrices, 2014-03-01)
    Tridiagonal matrices are considered which are totally nonnegative, i. e., all their minors are nonnegative. The largest amount is given by which the single entries of such a matrix can be perturbed without losing the ...
  • Adm, Mohammad; Garloff, Juergen (In: A Panorama of Mathematics: Pure and Applied, Contemporary Mathematics, vol. 658, Amer. Math. Soc.,, 2016)
    A totally positive matrix is a matrix having all its minors positive. The largest amount by which the single entries of such a matrix can be perturbed without losing the property of total positivity is given. Also some ...
  • Adm, Mohammad; Garloff, Juergen; Titi, Jihad (Reliable Computing, 2016)
    This paper considers intervals of real matrices with respect to partial orders and the problem to infer from some exposed matrices lying on the boundary of such an interval that all real matrices taken from the interval ...
  • Adm, Mohammad; Garloff, Juergen; Titi, Jihad (Journal of Mathematical Analysis and Applications, 2016)
    In this paper totally nonnegative (positive) matrices are considered which are matrices having all their minors nonnegative (positive); the almost totally positive matrices form a class between the totally nonnegative ...

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