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A scalable, numerically stable, high-performance tridiagonal solver using GPUs

https://doi.org/10.1109/sc.2012.12

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Parallel computers: Architecture, programming and algorithms

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A Hybrid Method for Solving Tridiagonal Systems on the GPU

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Pricing Financial Derivatives with High Performance Finite Difference Solvers on GPUs

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SPIKE: A parallel environment for solving banded linear systems

inferredcites →https://doi.org/10.1016/j.parco.2005.07.005openalex-snapshot

A parallel hybrid banded system solver: the SPIKE algorithm

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Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems

inferredcites →https://doi.org/10.1109/clustr.2009.5289128openalex-snapshot

GPU clusters for high-performance computing

inferredcites →https://doi.org/10.1109/icassp.2011.5946808openalex-snapshot

Parallel implementation of Multi-dimensional Ensemble Empirical Mode Decomposition

inferredcites →https://doi.org/10.1109/icpp.2011.41openalex-snapshot

A Scalable Tridiagonal Solver for GPUs

inferredcites →https://doi.org/10.1109/inpar.2012.6339606openalex-snapshot

DL: A data layout transformation system for heterogeneous computing

inferredcites →https://doi.org/10.1109/ipdps.2011.92openalex-snapshot

An Auto-tuned Method for Solving Large Tridiagonal Systems on the GPU

inferredcites →https://doi.org/10.1109/tpds.2010.61openalex-snapshot

Cyclic Reduction Tridiagonal Solvers on GPUs Applied to Mixed-Precision Multigrid

inferredcites →https://doi.org/10.1137/040606636openalex-snapshot

Computing the Condition Number of Tridiagonal and Diagonal-Plus-Semiseparable Matrices in Linear Time

inferredcites →https://doi.org/10.1137/1.9781611970937openalex-snapshot

Iterative Methods for Solving Linear Systems

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11. Incomplete Decompositions

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Elementary Numerical Analysis

inferredcites →https://doi.org/10.1137/s0895479897314747openalex-snapshot

Reliable Computation of the Condition Number of a Tridiagonal Matrix in O ( n ) Time

inferredcites →https://doi.org/10.1145/1693453.1693472openalex-snapshot

Fast tridiagonal solvers on the GPU

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An asymmetric distributed shared memory model for heterogeneous parallel systems

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Data layout transformation exploiting memory-level parallelism in structured grid many-core applications

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A Fast Direct Solution of Poisson's Equation Using Fourier Analysis

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An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations

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Elementary Numerical Analysis: An Algorithmic Approach

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Scan Primitives for GPU Computing

What points at this work

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A Guide for Implementing Tridiagonal Solvers on GPUs

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BPLG: A Tuned Butterfly Processing Library for GPU Architectures

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Parallel prefix operations on GPU: tridiagonal system solvers and scan operators

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swPTS: an efficient parallel Thomas split algorithm for tridiagonal systems on Sunway manycore processors

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An efficient GPU-based fractional-step domain decomposition scheme for the reaction–diffusion equation

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Model guided algorithm optimization for tridiagonal solver on many-core architectures

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Architecture-based design and optimization of genetic algorithms on multi- and many-core systems

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Locality-centric thread scheduling for bulk-synchronous programming models on CPU architectures

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A Stable Parallel Algorithm for Diagonally Dominant Tridiagonal Linear Systems

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MPCGPU: Real-Time Nonlinear Model Predictive Control through Preconditioned Conjugate Gradient on the GPU

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Solving Multiple Tridiagonal Systems on a Multi-GPU Platform

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Performance Tuning for GPU-Embedded Systems: Machine-Learning-Based and Analytical Model-Driven Tuning Methodologies

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A Hierarchical Tridiagonal System Solver for Heterogenous Supercomputers

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Mixed-Precision Algorithm for Finding Selected Eigenvalues and Eigenvectors of Symmetric and Hermitian Matrices1

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Solving Large Problem Sizes of Index-Digit Algorithms on GPU: FFT and Tridiagonal System Solvers

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Designing Efficient Index-Digit Algorithms for CUDA GPU Architectures

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Tridigpu: A GPU Library for Block Tridiagonal and Banded Linear Equation Systems

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PARALLEL IMPLEMENTATION OF THE YANENKO METHOD FOR SOLVING THE HEAT EQUATION

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