DSpace Repository

Browsing by Author "Garloff, Juergen"

Browsing by Author "Garloff, Juergen"

Sort by: Order: Results:

  • Bounding the Range of a Sum of Multivariate Rational Functions 
    Adm, Mohammad; Garloff, Juergen; Titi, Jihad; Elgayar, Ali (Springer, 2022)
    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 ...
  • Further Matrix Classes Possessing the Interval Property 
    Garloff, Juergen; Al-Saafin, Doaa; Adm, Mohammad (Reliable Computing (Interval Computations) Journal, 2021)
    In this article, the collection of classes of matrices which possess the interval property presented in [J. Garloff, M. Adm, and J. Titi, A survey of classes of matrices possessing the interval property and related prop- ...
  • Improved Tests and Characterizations of Totally Nonnegative Matrices 
    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 ...
  • Intervals of Special Sign Regular Matrices 
    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 ...
  • Intervals of Totally Nonnegative Matrices 
    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 ...
  • Invariance of Total Nonnegativity of a Tridiagonal Matrix under Element-wise Perturbation 
    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 ...
  • Invariance of Total Positivity of a Matrix under Entry-wise Perturbation and Completion Problems 
    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 ...
  • A Survey of Classes of Matrices Possessing the Interval Property and Related Properties 
    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 ...
  • Total Nonnegativity of Matrices Related to Polynomial Roots and Poles of Rational Functions 
    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 ...

Search DSpace

Browse

My Account