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Monitoring the stability of the triangular factorization of a sparse matrix

https://doi.org/10.1007/bf01436966
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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4615-8675-3openalex-snapshot
Sparse Matrices and their Applications
inferredcites →https://doi.org/10.1007/978-1-4615-8675-3_3openalex-snapshot
Sparse Matrix Approach to the Frequency Domain Analysis of Linear Passive Electrical Networks
inferredcites →https://doi.org/10.1007/bf02165006openalex-snapshot
Monitoring the numerical stability of Gaussian elimination
inferredcites →https://doi.org/10.1093/imamat/8.3.374openalex-snapshot
A Note on the 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/10.1145/362566.362571openalex-snapshot
The automatic integration of ordinary differential equations

What points at this work

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

inferred← citeshttps://doi.org/10.1002/nme.1620260115openalex-snapshot
Ill‐Conditioned equations in kinematics and dynamics of machines
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01399609openalex-snapshot
Backward error analysis for totally positive linear systems
inferred← citeshttps://doi.org/10.1007/bfb0116616openalex-snapshot
Solution of linear systems of equations: Direct methods (general)
inferred← citeshttps://doi.org/10.1016/0041-5553(86)90062-5openalex-snapshot
Error accumulation in solving sparse systems of linear algebraic equations with a principal diagonal
inferred← citeshttps://doi.org/10.1016/0045-7949(81)90083-3openalex-snapshot
Progressive simultaneous inverse iteration for symmetric linearized eigenvalue problems
inferred← citeshttps://doi.org/10.1016/b978-0-12-141050-6.50012-xopenalex-snapshot
A BIBLIOGRAPHICAL TOUR OF THE LARGE, SPARSE GENERALIZED EIGENVALUE PROBLEM
inferred← citeshttps://doi.org/10.1016/b978-0-12-557580-5.50015-6openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0927-0507(05)80203-8openalex-snapshot
Chapter 6 A survey of matrix computations
inferred← citeshttps://doi.org/10.1023/a:1022314201484openalex-snapshot
On the Robustness of Gaussian Elimination with Partial Pivoting
inferred← citeshttps://doi.org/10.1090/s0025-5718-1982-0645663-8openalex-snapshot
Direct Secant Updates of Matrix Factorizations
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.001.0001openalex-snapshot
Direct Methods for Sparse Matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0001openalex-snapshot
Glossary of Symbols
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0005openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0006openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0001openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0002openalex-snapshot
Sparse matrices: storage schemes and simple operations
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0003openalex-snapshot
Gaussian elimination for dense matrices: the algebraic problem
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0004openalex-snapshot
Gaussian elimination for dense matrices: numerical considerations
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0005openalex-snapshot
Gaussian elimination for sparse matrices: an introduction
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0006openalex-snapshot
Reduction to block triangular form
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0007openalex-snapshot
Local pivotal strategies for sparse matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0008openalex-snapshot
Ordering sparse matrices for band solution
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0009openalex-snapshot
Orderings based on dissection
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0010openalex-snapshot
Implementing Gaussian elimination without symbolic factorize
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0011openalex-snapshot
Implementing Gaussian elimination with symbolic factorize
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0012openalex-snapshot
Gaussian elimination using trees
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0013openalex-snapshot
Graphs for symmetric and unsymmetric matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0014openalex-snapshot
The solve phase
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0015openalex-snapshot
Other sparsity-oriented issues
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0001openalex-snapshot
Matrix and vector norms
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0002openalex-snapshot
Pictures of sparse matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0003openalex-snapshot
Solutions to selected exercises
inferred← citeshttps://doi.org/10.1109/proc.1977.10514openalex-snapshot
A survey of sparse matrix research
inferred← citeshttps://doi.org/10.1109/tct.1973.1083757openalex-snapshot
Hybrid sparse-matrix methods
inferred← citeshttps://doi.org/10.1137/0607047openalex-snapshot
On the Smallest Positive Singular Value of a Singular M -Matrix with Applications to Ergodic Markov Chains
inferred← citeshttps://doi.org/10.1137/0610012openalex-snapshot
Large Growth Factors in Gaussian Elimination with Pivoting
inferred← citeshttps://doi.org/10.1137/0903032openalex-snapshot
Comparison of Two Algorithms for Solving Large Linear Systems
inferred← citeshttps://doi.org/10.1137/0907012openalex-snapshot
A Note on Monitoring the Stability of Triangular Decomposition of Sparse Matrices
inferred← citeshttps://doi.org/10.1137/0908054openalex-snapshot
Evaluation of Orderings for Unsymmetric Sparse Matrices
inferred← citeshttps://doi.org/10.1137/s0895479892239755openalex-snapshot
Gaussian Elimination with Partial Pivoting Can Fail in Practice
inferred← citeshttps://doi.org/10.1145/1057941.1057942openalex-snapshot
A note on estimating the error in Gaussian elimination without pivoting
inferred← citeshttps://doi.org/10.1145/2590808openalex-snapshot
StaRMAP---A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer
inferred← citeshttps://doi.org/10.1145/2629641openalex-snapshot
A Parallel Sparse Direct Solver via Hierarchical DAG Scheduling
inferred← citeshttps://doi.org/10.1145/355815.355817openalex-snapshot
Some Design Features of a Sparse Matrix Code
inferred← citeshttps://doi.org/10.1145/355972.355978openalex-snapshot
ME28: A Sparse Unsymmetric Linear Equation Solver for Complex Equations
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