Essays about: "Computer Algebra"

Showing result 1 - 5 of 18 essays containing the words Computer Algebra.

  1. 1. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices

    University essay from Lunds universitet/Matematik LTH

    Author : Teodor Bucht; [2023]
    Keywords : Toeplitz matrices; Banded Toeplitz matrices; Limit set; Eigenvalues; Mathematics and Statistics;

    Abstract : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. READ MORE

  3. 2. Persistent Homology : A Modern Application of Algebraic Topology in Data Analysis

    University essay from

    Author : Staffan Leijnse; [2023]
    Keywords : Data; Algebraic Topology; Persistent; Homology; Graded; Representation;

    Abstract : Topological data analysis emerged as a field in the 2000s and has proven very useful for examining the shape of data sets. Using persistent homology as their main methodology researchers has succesfully applied the theory presented in this paper to study as varied subjects as robot motion, brain connectivity, network theory, finger print analysis and computer vision. READ MORE

  4. 3. Benchmarking linear-algebra algorithms on CPU- and FPGA-based platforms

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Omar Askar Vergara; Karl Törnblom Bartholf; [2023]
    Keywords : FPGA; OpenCL; PolyBench; Cholesky; Durbin;

    Abstract : Moore’s law is the main driving factor behind the rapid evolution of computers that has been observed in the past 50 years. Though the law is soon ending due to heat- and sizing-related issues. One solution to continuing the evolution is utilizing alternative computer hardware, where parallel hardware is especially interesting. READ MORE

  5. 4. Language Theoretic Properties of Graph Extension Languages : An Investigation of Graph Extension Grammars with Context Matching and Logic

    University essay from Umeå universitet/Institutionen för datavetenskap

    Author : Yannick Stade; [2022]
    Keywords : graph language; formal language; theoretical computer science;

    Abstract : Graph extension grammars provide a way to define graph languages. They consist of a regular tree grammar and an algebra. The regular tree grammar generates trees, so-called derivation trees. Those are evaluated by the algebra into a set of graphs. READ MORE

  6. 5. High-Performance Beamforming for Radar Technology : A Comparative Study of GPU Beamforming Algorithms

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Oscar Lindgren; [2022]
    Keywords : Accelerated signal processing software; Beamforming; Electronic warfare; Electromagnetic waves; Emitter identification; Radar technology; Accelererad signalbehandlingsmjukvara; Beamforming; Elektronisk krigsföring; Elektromagnetiska vågor; Sändaridentifikation; Radarteknologi;

    Abstract : Radar technology is widely used in today´s society, whether it is the localisation and identification of aircraft in air traffic control systems, ships in harbour management systems, or the weather forecast presented on the news. In military applications, such as in fighter jets or missile lock-on systems, the speed at which the radar processes incoming data is essential to ensure a successful outcome. READ MORE