Výsledky vyhledávání - tridiagonal matrix algorithm

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  1. 1

    Performance Optimization of Tridiagonal Matrix Algorithm [TDMA] on Multicore Architectures: Computational Framework and Mathematical Modelling Autor Chathalingath, Anishchandran, Manoharan, Arun

    ISSN: 1938-0259, 1938-0267
    Vydáno: Hershey IGI Global 01.10.2019
    “… In this article, the authors present an optimal performance pipelined parallel variant of the conventional Tridiagonal Matrix Algorithm (TDMA…”
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    Journal Article
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    Tridiagonal Matrix Algorithm for Real-Time Simulation of a Two-Dimensional PEM Fuel Cell Model Autor Zhou, Daming, Gao, Fei, Breaz, Elena, Ravey, Alexandre, Miraoui, Abdellatif

    ISSN: 0278-0046, 1557-9948
    Vydáno: New York IEEE 01.09.2018
    “…) based on a tridiagonal matrix algorithm (Thomas algorithm). The Thomas algorithm consists of a forward elimination and a backward substitution, its arithmetic complexity of computations being much lower than the Gaussian elimination…”
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    Algorithm to Construct a Tridiagonal Matrix Factored by Bidiagonal Matrices with Prescribed Eigenvalues and Specified Entries Autor Kondo, Koichi

    ISSN: 2337-5760, 2338-5510
    Vydáno: ITB Journal Publisher 25.04.2025
    “…This paper presents an algorithm to construct a tridiagonal matrix factored by bidiagonal matrices with prescribed eigenvalues and specified matrix entries…”
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    Tridiagonal Matrix Algorithm for Real-Time Simulation of a 2-D PEM Fuel Cell Model Autor Zhou, Daming, Gao, Fei, Breaz, Elena Virginia, Ravey, Alexandre, Miraoui, Abdellatif

    ISSN: 0278-0046
    Vydáno: Institute of Electrical and Electronics Engineers 2018
    “…) based on a tridiagonal matrix algorithm (Thomas algorithm). The Thomas algorithm consists of a forward elimination and a backward substitution, its arithmetic complexity of computations being much lower than the Gaussian elimination…”
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    Journal Article
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    AH-TDMA: An Adaptive Heterogeneous Tridiagonal Matrix Algorithm on the New Sunway Supercomputer Autor Tian, Min, Liu, Qi, Li, Yanlong, Du, Wei, Ren, Zenghui, Liu, Yue

    ISSN: 2690-5965
    Vydáno: IEEE 17.12.2023
    “… Based on a three-dimensional heat conduction problem, we propose an adaptive heterogeneous tridiagonal matrix algorithm (AH-TDMA…”
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    Konferenční příspěvek
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    A Simplified Finite Difference Method (SFDM) Solution via Tridiagonal Matrix Algorithm for MHD Radiating Nanofluid Flow over a Slippery Sheet Submerged in a Permeable Medium Autor Farooq, M. Asif, Salahuddin, A., Mushtaq, Asif, Razzaq, M.

    ISSN: 1024-123X, 1563-5147
    Vydáno: New York Hindawi 27.01.2021
    Vydáno v Mathematical problems in engineering (27.01.2021)
    “… For the resultant algebraic system, the SFDM uses the tridiagonal matrix algorithm (TDMA) in computing the solution…”
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    PaScaL_TDMA: A library of parallel and scalable solvers for massive tridiagonal systems Autor Kim, Ki-Ha, Kang, Ji-Hoon, Pan, Xiaomin, Choi, Jung-Il

    ISSN: 0010-4655, 1879-2944
    Vydáno: Elsevier B.V 01.03.2021
    Vydáno v Computer physics communications (01.03.2021)
    “… The modified Thomas algorithm and a newly designed communication scheme were used to reduce the communication overhead encountered while solving the many tridiagonal systems…”
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    A distributed-memory tridiagonal solver based on a specialised data structure optimised for CPU and GPU architectures Autor Akkurt, Semih, Lemaire, Sébastien, Bartholomew, Paul, Laizet, Sylvain

    ISSN: 0010-4655
    Vydáno: Elsevier B.V 01.10.2025
    Vydáno v Computer physics communications (01.10.2025)
    “… In this article, we present a novel distributed-memory tridiagonal solver algorithm, DistD2-TDS, based on a specialised data structure…”
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    A new recursive algorithm for inverting general k-tridiagonal matrices Autor El-Mikkawy, Moawwad, Atlan, Faiz

    ISSN: 0893-9659, 1873-5452
    Vydáno: Elsevier Ltd 01.06.2015
    Vydáno v Applied mathematics letters (01.06.2015)
    “…In the present article we give a new breakdown-free recursive algorithm for inverting general k-tridiagonal matrices without imposing any simplifying assumptions…”
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    A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system Autor Maeda, Kazuki, Tsujimoto, Satoshi

    ISSN: 0377-0427, 1879-1778
    Vydáno: Elsevier B.V 01.07.2016
    “…A generalized eigenvalue algorithm for a certain class of tridiagonal matrix pencils is presented…”
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    A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices Autor Jia, Ji-Teng

    ISSN: 1017-1398, 1572-9265
    Vydáno: New York Springer US 01.01.2020
    Vydáno v Numerical algorithms (01.01.2020)
    “…In this paper, we present a new breakdown-free recursive algorithm for computing the determinants of periodic tridiagonal matrices via a three-term recurrence…”
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    Journal Article
  13. 13

    Symbolic algorithms for the inverses of general k-tridiagonal matrices Autor Jia, Jiteng, Li, Sumei

    ISSN: 0898-1221, 1873-7668
    Vydáno: Elsevier Ltd 01.12.2015
    “…Two symbolic algorithms for inverting k-tridiagonal matrices have been recently found by El-Mikkawy and Atlan (2014, 2015…”
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    Generalized Sherman–Morrison–Woodbury formula based algorithm for the inverses of opposite-bordered tridiagonal matrices Autor Jia, Ji-Teng, Sogabe, Tomohiro

    ISSN: 0259-9791, 1572-8897
    Vydáno: Cham Springer Science and Business Media LLC 01.08.2020
    Vydáno v Journal of Mathematical Chemistry (01.08.2020)
    “… In this paper, we consider the inverse computation of an opposite-bordered tridiagonal matrix which has attracted much attention in recent years…”
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    A bidiagonalization-based numerical algorithm for computing the inverses of (p,q)-tridiagonal matrices Autor Jia, Ji-Teng, Xie, Rong, Xu, Xiao-Yan, Ni, Shuo, Wang, Jie

    ISSN: 1017-1398, 1572-9265
    Vydáno: New York Springer US 01.06.2023
    Vydáno v Numerical algorithms (01.06.2023)
    “… )-tridiagonal matrices under a certain condition. The algorithm is based on the combination of a bidiagonalization approach which preserves the banded structure and sparsity of the original matrix, and a recursive algorithm for inverting general…”
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    Parallel line identification for line-implicit-solvers Autor Rempke, Arne

    ISSN: 0006-3835, 1572-9125
    Vydáno: Dordrecht Springer Netherlands 01.12.2023
    Vydáno v BIT (01.12.2023)
    “…Line-implicit preconditioners are well known in computational fluid dynamics (CFD) solvers and are an essential component to handle meshes with cells of very…”
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    On a Method of Solving Non-Isothermal Two-Phase Filtration Problems Autor Gasimov, Sardar, Mammadov, Rashad

    ISSN: 2255-890X, 1407-009X, 2255-890X
    Vydáno: Riga Sciendo 01.09.2025
    “… permeabilities and capillary forces. Numerical implementation of the algorithm is carried out using the finite difference method on an adaptive grid…”
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    A fast singular value decomposition algorithm of general k-tridiagonal matrices Autor Tănăsescu, Andrei, Popescu, Pantelimon George

    ISSN: 1877-7503, 1877-7511
    Vydáno: Elsevier B.V 01.02.2019
    Vydáno v Journal of computational science (01.02.2019)
    “…•Improvement of any Singular Value Decomposition Black Box Algorithm for k-tridiagonal matrices.•Mathematical proofs.•Complexity analysis…”
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