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Stability of the Gauss-Huard algorithm with partial pivoting

https://doi.org/10.1007/bf02684391
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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/bf01396364openalex-snapshot
Rehabilitation of the Gauss-Jordan algorithm
inferredcites →https://doi.org/10.1007/bf02165006openalex-snapshot
Monitoring the numerical stability of Gaussian elimination
inferredcites →https://doi.org/10.1016/0167-739x(94)90037-xopenalex-snapshot
Solving dense linear systems by Gauss-Huard's method on a distributed memory system
inferredcites →https://doi.org/10.1016/0377-0427(87)90008-2openalex-snapshot
Solving linear systems on a vector computer
inferredcites →https://doi.org/10.1016/0377-0427(90)90046-3openalex-snapshot
A new presentation of the conjugate direction algorithm
inferredcites →https://doi.org/10.1016/0377-0427(94)90302-6openalex-snapshot
Parallel algorithms for solving large linear systems
inferredcites →https://doi.org/10.1093/acprof:oso/9780198508380.001.0001openalex-snapshot
Direct Methods for Sparse Matrices
inferredcites →https://doi.org/10.1137/0611023openalex-snapshot
Average-Case Stability of Gaussian Elimination
inferredcites →https://doi.org/10.1145/321075.321076openalex-snapshot
Error Analysis of Direct Methods of Matrix Inversion
inferredcites →https://doi.org/10.1145/360569.360653openalex-snapshot
On the stability of Gauss-Jordan elimination with pivoting
inferredcites →https://doi.org/10.2307/2008670openalex-snapshot
Direct Methods for Sparse Matrices.
inferredcites →https://doi.org/10.2307/2153226openalex-snapshot
Solving Linear Systems on Vector and Shared Memory Computers.
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/10.1002/cpe.3884openalex-snapshot
Block Gauss–Huard algorithm with column pivoting on a hybrid CPU–GPU architecture
inferred← citeshttps://doi.org/10.1002/cpe.4076openalex-snapshot
Extending the Gauss–Huard method for the solution of Lyapunov matrix equations and matrix inversion
inferred← citeshttps://doi.org/10.1007/978-3-319-26928-3_8openalex-snapshot
Solving Linear Systems on the Intel Xeon-Phi Accelerator via the Gauss-Huard Algorithm
inferred← citeshttps://doi.org/10.1007/978-3-319-32149-3_47openalex-snapshot
Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators
inferred← citeshttps://doi.org/10.1007/978-3-319-49583-5_30openalex-snapshot
The Impact of Panel Factorization on the Gauss-Huard Algorithm for the Solution of Linear Systems on Modern Architectures
inferred← citeshttps://doi.org/10.1007/s10479-006-0111-yopenalex-snapshot
En hommage à Joseph-Louis Lagrange et à Pierre Huard
inferred← citeshttps://doi.org/10.1016/j.amc.2006.06.114openalex-snapshot
Clustered Gauss–Huard algorithm for the solution of Ax=b
inferred← citeshttps://doi.org/10.1016/j.procs.2017.05.186openalex-snapshot
Variable-Size Batched Gauss-Huard for Block-Jacobi Preconditioning
inferred← citeshttps://doi.org/10.1016/s0167-8191(02)00133-3openalex-snapshot
Parallel algorithms of the Purcell method for direct solution of linear systems
inferred← citeshttps://doi.org/10.1080/00207160108805034openalex-snapshot
An efficient variant of gauss-jordan type algorithms for direct and parallel solution of dense linear systems
inferred← citeshttps://doi.org/10.1109/clei.2015.7360027openalex-snapshot
Solving dense linear systems with hybrid ARM+GPU platforms
inferred← citeshttps://doi.org/10.1109/csci62032.2023.00180openalex-snapshot
Accelerated Gauss-Huard Algorithm on Hybrid GPU-CPU: Look-Ahead with the Delayed Algorithm Approach
inferred← citeshttps://doi.org/10.1109/icpp.2017.18openalex-snapshot
Variable-Size Batched LU for Small Matrices and Its Integration into Block-Jacobi Preconditioning
inferred← citeshttps://doi.org/10.19153/cleiej.19.1.2openalex-snapshot
Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU platforms
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