DSpace Repository

Browsing by Author "Garloff, Jürgen"

Browsing by Author "Garloff, Jürgen"

Sort by: Order: Results:

  • Bounding the Range of a Sum of Multivariate Rational Functions 
    Adm, Mohammad; Titi, Jihad; Elgayar, Ali; Garloff, Jürgen (in M. Ceberio and V. Kreinovich (eds.), Decision Making under Uncertainty and Constraints, Studies in Systems, Decision and Control 217, Springer Nature, 2023)
    Bounding the range of a sum of rational functions is an important task if, e.g., the global polynomial sum of ratios problem is solved by a branch and bound algorithm. In this paper, bounding methods are discussed which ...
  • Characterization, perturbation, and interval property of certain sign regular matrices 
    Adm, Mohammad; Garloff, Jürgen (Linear Algebra and its Applications Journal, 2021-03-01)
    The class of square matrices of order n having a negative determinant and all their minors up to order n-1 nonnegative is considered. A characterization of these matrices is presented which provides an easy test based on ...
  • Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices 
    Adm, Mohammad; Garloff, Jürgen (Linear Algebra and its Applications Journal, 2017-02-01)
    A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper, the minors are determined from which the maximum allowable entry perturbation of a totally nonnegative matrix can be found, ...
  • RELAXING THE NONSINGULARITY ASSUMPTION FOR INTERVALS OF TOTALLY NONNEGATIVE MATRICES 
    ADM, MOHAMMAD; ALMUHTASEB, KHAWLA; Abedel Ghani, Ayed; Garloff, Jürgen (Konstanzer Schriften in Mathematik, 2020-02-01)
    Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and 6 matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the 7 two bound matrices of ...
  • Relaxing the Nonsingularity Assumption for Intervals of Totally Nonnegative Matrices 
    Adm, Mohammad; Almuhtaseb, Khawla; Abedel Ghani, Ayed; Garloff, Jürgen (Electronic Journal of Linear Algebra, 2020-03-27)
    Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a ...
  • Total nonnegativity of the extended Perron complement 
    Adm, Mohammad; Garloff, Jürgen (Linear Algebra Appl., 2016-11-01)
    A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper the extended Perron complement of a principal submatrix in a matrix A is investigated. In extension of known results it is ...

Search DSpace

Browse

My Account