Sökning: "Krylov subspace methods"

Hittade 4 uppsatser innehållade orden Krylov subspace methods.

  1. 1. A Conjugate Residual Solver with Kernel Fusion for massive MIMO Detection

    Master-uppsats, Högskolan i Halmstad/Centrum för forskning om tillämpade intelligenta system (CAISR)

    Författare :Ioannis Broumas; [2023]
    Nyckelord :MIMO; massive MIMO; GPU; CUDA; Software Defined Radio; SDR; MMSE; ZF; zero-forcing; parallel detection; iterative methods; conjugate residual; parallel computing; kernel fusion;

    Sammanfattning : This thesis presents a comparison of a GPU implementation of the Conjugate Residual method as a sequence of generic library kernels against implementations ofthe method with custom kernels to expose the performance gains of a keyoptimization strategy, kernel fusion, for memory-bound operations which is to makeefficient reuse of the processed data. For massive MIMO the iterative solver is to be employed at the linear detection stageto overcome the computational bottleneck of the matrix inversion required in theequalization process, which is 𝒪(𝑛3) for direct solvers. LÄS MER

  3. 2. A study of the s-step biconjugate gradient method

    Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Carlotta Boi; [2022]
    Nyckelord :biconjugate gradient methods; s-step biconjugate gradient methods; nonsymmetric linear systems; sparse matrices.; Mathematics and Statistics;

    Sammanfattning : In this thesis we will examine how to solve linear systems using the s-step biconjugate gradient algorithm, which is an iterative method based on the Krylov subspaces. It is useful especially when we have a large and sparse matrix. LÄS MER

  4. 3. An Overview of Rosenbrock-Krylov Methods for the Numerical Solution of Ordinary Differential Equations

    Kandidat-uppsats, Lunds universitet/Matematikcentrum; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Författare :Jens Axelsson; [2021]
    Nyckelord :Rosenbrock-Krylov methods; Rosenbrock methods; Krylov subspace methods; stiff ODEs; Mathematics and Statistics;

    Sammanfattning : This thesis offers an overview of the relatively new family of Rosenbrock-Krylov numerical methods for ODEs. These methods are a further development of Rosenbrock methods, using a lower-dimension approximation of the Jacobian. LÄS MER

  5. 4. Computation of Stationary States for Rotating Bose-Einstein Condensates using Spectral Methods

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Adam Erlandsson; Paul Hedvall; [2020]
    Nyckelord :;

    Sammanfattning : The Bose-Einstein condensate is a phase of matter that arises when cooling gases of bosons to extremely low temperatures. When studying these condensates one may use the Gross-Pitaevskii equation, which is a non-linear variant of the Schrödinger equation. LÄS MER