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On the parallel solution of tridiagonal systems by wrap-around partitioning and incomplete LU factorization

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-53065-7_92openalex-snapshot
Divide and conquer: A new parallel algorithm for the solution of a tridiagonal linear system of equations
inferredcites →https://doi.org/10.1007/978-1-4899-2112-3openalex-snapshot
Introduction to Parallel and Vector Solution of Linear Systems
inferredcites →https://doi.org/10.1016/0167-8191(85)90016-xopenalex-snapshot
A parallel partition method for solving banded systems of linear equations
inferredcites →https://doi.org/10.1016/0167-8191(87)90005-6openalex-snapshot
Large tridiagonal and block tridiagonal linear systems on vector and parallel computers
inferredcites →https://doi.org/10.1016/0167-8191(88)90099-3openalex-snapshot
Data transport in Wang's partition method
inferredcites →https://doi.org/10.1016/0167-8191(88)90141-xopenalex-snapshot
Solving tridiagonal systems of linear equations on the IBM 3090 VF
inferredcites →https://doi.org/10.1016/0167-8191(89)90119-1openalex-snapshot
A fast vector algorithm for solving tridiagonal linear equations
inferredcites →https://doi.org/10.1016/0167-8191(90)90094-popenalex-snapshot
Parallelization and vectorization aspects of the solution of tridiagonal linear systems
inferredcites →https://doi.org/10.1016/b978-0-12-592101-5.50008-7openalex-snapshot
Solution of Single Tridiagonal Linear Systems and Vectorization of the ICCG Algorithm on the Cray-1
inferredcites →https://doi.org/10.1016/c2013-0-11392-xopenalex-snapshot
Parallel Computations
inferredcites →https://doi.org/10.1016/s0167-8191(05)80145-0openalex-snapshot
Divide and conquer: a parallel algorithm for the solution of a tridiagonal linear system of equations
inferredcites →https://doi.org/10.1093/acprof:oso/9780198508380.001.0001openalex-snapshot
Direct Methods for Sparse Matrices
inferredcites →https://doi.org/10.1109/tc.1977.5009293openalex-snapshot
A Parallel QR Algorithm for Symmetric Tridiagonal Matrices
inferredcites →https://doi.org/10.1137/0713042openalex-snapshot
Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems
inferredcites →https://doi.org/10.1137/0908040openalex-snapshot
Solving Tridiagonal Systems on Ensemble Architectures
inferredcites →https://doi.org/10.1137/1.9781611971811openalex-snapshot
LINPACK Users' Guide
inferredcites →https://doi.org/10.1145/214408.214418openalex-snapshot
Solving narrow banded systems on ensemble architectures
inferredcites →https://doi.org/10.1145/321250.321259openalex-snapshot
A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
inferredcites →https://doi.org/10.1145/355656.355658openalex-snapshot
The Solution of Tridiagonal Linear Systems on the CDC STAR 100 Computer
inferredcites →https://doi.org/10.1145/355945.355947openalex-snapshot
A Parallel Method for Tridiagonal Equations
inferredcites →https://doi.org/10.1145/399.401openalex-snapshot
The computation and communication complexity of a parallel banded system solver
inferredcites →https://doi.org/10.2307/2008670openalex-snapshot
Direct Methods for Sparse Matrices.
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s002110050074openalex-snapshot
A self-sorting in-place fast Fourier transform algorithm suitable for vector and parallel processing
inferred← citeshttps://doi.org/10.1007/s10827-008-0087-5openalex-snapshot
Fully implicit parallel simulation of single neurons
inferred← citeshttps://doi.org/10.1016/0167-8191(93)90037-lopenalex-snapshot
Divide and conquer methods for block tridiagonal systems
inferred← citeshttps://doi.org/10.1016/j.cam.2025.117254openalex-snapshot
Parallel solution of large narrow band linear systems
inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s1570-8659(00)07002-2openalex-snapshot
Gaussian elimination for the solution of linear systems of equations
inferred← citeshttps://doi.org/10.1109/empdp.1996.500612openalex-snapshot
Divide and conquer for the solution of banded linear systems of equations
inferred← citeshttps://doi.org/10.1137/0916018openalex-snapshot
An Implementation of Multiple and Multivariate Fourier Transforms on Vector Processors
inferred← citeshttps://doi.org/10.1137/19m1306166openalex-snapshot
Parallel QR Factorization of Block-Tridiagonal Matrices
inferred← citeshttps://doi.org/10.1145/277830.277835openalex-snapshot
Algorithms for block bidiagonal systems on vector and parallel computers
inferred← citeshttps://doi.org/10.1155/2019/3679839openalex-snapshot
Implementing and Evaluating an Heterogeneous, Scalable, Tridiagonal Linear System Solver with OpenCL to Target FPGAs, GPUs, and CPUs
inferred← citeshttps://doi.org/10.21914/anziamj.v56i0.9371openalex-snapshot
Implementation of parallel tridiagonal solvers for a heterogeneous computing environment
inferred← citeshttps://doi.org/10.3389/fninf.2013.00004openalex-snapshot
Accelerating compartmental modeling on a graphical processing unit
inferred← citeshttps://doi.org/10.5204/thesis.eprints.130762openalex-snapshot
Solving Diagonally Dominant Tridiagonal Linear Systems with FPGAs in an Heterogeneous Computing Environment
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