Now showing items 1-4 of 4

    • Algorithms for Linearly Recurrent Sequences of Truncated Polynomials 

      Hyun, Seung Gyu (University of Waterloo, 2021-08-17)
      Linear recurrent sequences are those whose elements are defined as linear combinations of preceding elements, and finding recurrence relations is a fundamental problem in computer algebra. In this paper, we focus on sequences ...
    • Analysis of Randomized Algorithms in Real Algebraic Geometry 

      Elliott, Jesse (University of Waterloo, 2020-09-02)
      Consider the problem of computing at least one point in each connected component of a smooth real algebraic set. This is a basic and important operation in real and semi-algebraic geometry: it gives an upper bound on the ...
    • Fast Algorithms for Finding the Characteristic Polynomial of a Rank-2 Drinfeld Module 

      Musleh, Yossef (University of Waterloo, 2018-09-21)
      This thesis introduces a new Monte Carlo randomized algorithm for computing the characteristic polynomial of a rank-2 Drinfeld module. We also introduce a deterministic algorithm that uses some ideas seen in Schoof's ...
    • Homotopy algorithms for solving structured determinantal systems 

      Vu, Thi Xuan (University of Waterloo, 2020-12-17)
      Multivariate polynomial systems arising in numerous applications have special structures. In particular, determinantal structures and invariant systems appear in a wide range of applications such as in polynomial optimization ...

      UWSpace

      University of Waterloo Library
      200 University Avenue West
      Waterloo, Ontario, Canada N2L 3G1
      519 888 4883

      All items in UWSpace are protected by copyright, with all rights reserved.

      DSpace software

      Service outages