Exact Solution of Sparse Linear Systems via Left-Looking Roundoff-Error-Free LU Factorization in Time Proportional to Arithmetic Work-Reference-Cited by-同舟云学术

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Exact Solution of Sparse Linear Systems via Left-Looking Roundoff-Error-Free LU Factorization in Time Proportional to Arithmetic Work

Published:2019-01 Issue:2 Volume:40 Page:609-638
ISSN:0895-4798
Container-title:SIAM Journal on Matrix Analysis and Applications
language:en
Short-container-title:SIAM J. Matrix Anal. Appl.

Author:

Lourenco Christopher,Escobedo Adolfo R.,Moreno-Centeno Erick,Davis Timothy A.

Funder

Texas A&M Graduate Merit Fellowship

National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/18M1202499

Reference36 articles.

1. An Approximate Minimum Degree Ordering Algorithm

2. Exact solutions to linear programming problems

3. Computational Solutions of Matrix Problems Over an Integral Domain

4. Computing the Crosscap Number of a Knot Using Integer Programming and Normal Surfaces

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3. A preconditioning method with auxiliary crack tip subproblems for dynamic crack propagation based on XFEM;Computer Methods in Applied Mechanics and Engineering;2023-07

4. Algorithm 1021: SPEX Left LU, Exactly Solving Sparse Linear Systems via a Sparse Left-looking Integer-preserving LU Factorization;ACM Transactions on Mathematical Software;2022-05-26

5. Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations;SIAM Journal on Matrix Analysis and Applications;2022-03

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