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  • Abeshev, K. Sh.; Badaev, S. A.; Mustafa, M. (2014)
  • Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. (SIAM Journal on Matrix Analysis and Applications, 2015)
    A stable algorithm to compute the roots of polynomials is presented. The roots are found by computing the eigenvalues of the associated companion matrix by Francis's implicitly shifted QR algorithm. A companion matrix is ...
  • Aurentz, Jared; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S. (arXiv, 2016-11-30)
    In the last decade matrix polynomials have been investigated with the primary focus on adequate linearizations and good scaling techniques for computing their eigenvalues. In this article we propose a new backward stable ...
  • Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. (Electronic Transactions on Numerical Analysis, 2015)
    A fast Fortran implementation of a variant of Gragg's unitary Hessenberg QR algorithm is presented. It is proved, moreover, that all QR- And QZ-like algorithms for the unitary eigenvalue problems are equivalent. The algorithm ...
  • Wei, Dongming; Elgindi, Mohamed B. M. (American Journal of Computational Mathematics, 2013)
    In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the ...
  • La Torre, Davide; Marsiglio, Simone; Mendivil, Franklin; Privileggi, Fabio (Communications in Nonlinear Science and Numerical Simulation, 2018-05-01)
    Abstract We analyze a multi-sector growth model subject to random shocks affecting the two sector-specific production functions twofold: the evolution of both productivity and factor shares is the result of such exogenous ...
  • Badaev, S. A.; Mustafa, M.; Sorbi, Andrea (2014)
    We show that for every n 1, there exists a 􀀀1n -computable family which up to equivalence has exactly one Friedberg numbering which does not induce the least element of the corresponding Rogers semilattice.
  • Wegner, Sven-Ake (Journal of Pure and Applied Algebra, 2017-11-01)
    Abstract Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Beĭlinson, Bernstein and Deligne ...
  • Anastassiou, Stavros; Bountis, Tassos; B¨acker, Arnd (arXiv, 2017-09)
    An interesting problem in solid state physics is to compute discrete breather solutions in N coupled 1–dimensional Hamiltonian particle chains and investigate the richness of their interactions. One way to do this is to ...
  • Mach, Thomas; Van Barel, Marc; Vandebril, Raf (Journal of Computational and Applied Mathematics, 2014-12-15)
    In inverse eigenvalue problems one tries to reconstruct a matrix, satisfying some constraints, given some spectral information. Here, two inverse eigenvalue problems are solved. First, given the eigenvalues and the first ...
  • Adaricheva, Kira (2004)
    We give two sufficient conditions for the lattice Co(Rn,X) of rel- atively convex sets of Rn to be join-semidistributive, where X is a finite union of segments. We also prove that every finite lower bounded lattice can ...
  • Adaricheva, Kira; Nation, J. B. (2012)
    We show that for every quasivariety K of structures (where both functions and relations are allowed) there is a semilattice S with operators such that the lattice of quasi-equational theories of K (the dual of the lattice ...
  • Adaricheva, Kira; Nation, J.B. (2012)
    Part I proved that for every quasivariety K of structures (which may have both operations and relations) there is a semilattice S with operators such that the lattice of quasi-equational theories of K (the dual of the ...
  • Bountis, Tassos; Vanhaecke, Pol (Physics Letters A, 2016-12-09)
    Abstract We use a strong version of the Painlevé property to discover and characterize a new class of n-dimensional Hamiltonian Lotka–Volterra systems, which turn out to be Liouville integrable as well as superintegrable. ...
  • Bountis, Tassos; Vanhaecke, Pol (Physics Letters A, 2016-09)
    We use a strong version of the Painlevé property to discover and characterize a new class of n-dimensional Hamiltonian Lotka–Volterra systems, which turn out to be Liouville integrable as well as superintegrable. These ...
  • Kussainov, A. S.; Pya, N. (Journal of Physics: Conference Series, 2016-09-05)
    We have assessed the potential applications of the neutron monitor hardware as random number generator for normal and uniform distributions. The data tables from the acquisition channels with no extreme changes in the ...
  • Wei, Dongming; Skrzypacz, Piotr; Yu, Xijun (Journal of Applied Mathematics, 2017-07-13)
    Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms. The traveling solutions represent waves of high elevation that ...
  • Nordström, Kenneth (Linear Algebra and its Applications, 2018-02-01)
    Abstract This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised. Given nonnegative definite matrices A and B ...
  • Adaricheva, Kira; Cz´edli, G´abor (2012)
    Let L be a join-distributive lattice with length n and width (Ji L) k. There are two ways to describe L by k − 1 permutations acting on an n-element set: a combinatorial way given by P.H. Edelman and R. E. Jamison in ...
  • Adaricheva, Kira; Pilitowska, Agata; Stanovsky, David (2006)
    Let V be a variety of algebras. We establish a condition (so called generalized entropic property), equivalent to the fact that for every algebra A 2 V, the set of all subalgebras of A is a subuniverse of the complex ...

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