Search Results - Tridiagonal Matrix Algorithm

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

“… In this article, the authors present an optimal performance pipelined parallel variant of the conventional Tridiagonal Matrix Algorithm (TDMA…”
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Tridiagonal Matrix Algorithm for Real-Time Simulation of a Two-Dimensional PEM Fuel Cell Model by Zhou, Daming, Gao, Fei, Breaz, Elena, Ravey, Alexandre, Miraoui, Abdellatif

“…) 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 by Kondo, Koichi

“…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 by Zhou, Daming, Gao, Fei, Breaz, Elena Virginia, Ravey, Alexandre, Miraoui, Abdellatif

“…) 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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AH-TDMA: An Adaptive Heterogeneous Tridiagonal Matrix Algorithm on the New Sunway Supercomputer by Tian, Min, Liu, Qi, Li, Yanlong, Du, Wei, Ren, Zenghui, Liu, Yue

“… Based on a three-dimensional heat conduction problem, we propose an adaptive heterogeneous tridiagonal matrix algorithm (AH-TDMA…”
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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 by Farooq, M. Asif, Salahuddin, A., Mushtaq, Asif, Razzaq, M.

“… 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 by Kim, Ki-Ha, Kang, Ji-Hoon, Pan, Xiaomin, Choi, Jung-Il

“… 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 by Akkurt, Semih, Lemaire, Sébastien, Bartholomew, Paul, Laizet, Sylvain

“… 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 by El-Mikkawy, Moawwad, Atlan, Faiz

“…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 by Maeda, Kazuki, Tsujimoto, Satoshi

“…A generalized eigenvalue algorithm for a certain class of tridiagonal matrix pencils is presented…”
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A novel algorithm for inverting a general k -tridiagonal matrix by El-Mikkawy, Moawwad, Atlan, Faiz

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A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices by Jia, Ji-Teng

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

“…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 by Jia, Ji-Teng, Sogabe, Tomohiro

“… 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 by Jia, Ji-Teng, Xie, Rong, Xu, Xiao-Yan, Ni, Shuo, Wang, Jie

“… )-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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Long-time adaptive coherent detection of small targets in sea clutter by fast inversion algorithm of block tridiagonal speckle covariance matrices by Zhang, Xiao-Jun, Shui, Peng-Lang, Xue, Yu-Fan

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Parallel line identification for line-implicit-solvers by Rempke, Arne

“…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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Numerical algorithms for determinant evaluation of the block circulant tridiagonal matrices arising from convolution equations by Tang, Zheng, Jia, Ji-Teng

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On a Method of Solving Non-Isothermal Two-Phase Filtration Problems by Gasimov, Sardar, Mammadov, Rashad

“… 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 by Tănăsescu, Andrei, Popescu, Pantelimon George

“…•Improvement of any Singular Value Decomposition Black Box Algorithm for k-tridiagonal matrices.•Mathematical proofs.•Complexity analysis…”
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