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Index Reduction via Unimodular Transformations

Published:2018-01 Issue:3 Volume:39 Page:1135-1151
ISSN:0895-4798
Container-title:SIAM Journal on Matrix Analysis and Applications
language:en
Short-container-title:SIAM J. Matrix Anal. & Appl.

Author:

Iwata Satoru,Takamatsu Mizuyo

Funder

Core Research for Evolutional Science and Technology

Japan Society for the Promotion of Science

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/17M111794X

Reference18 articles.

1. An improved algorithm for the computation of Kronecker's canonical form of a singular pencil

2. The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I

3. The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II

4. Computing the Maximum Degree of Minors in Matrix Pencils via Combinatorial Relaxation

5. Primal-Dual Combinatorial Relaxation Algorithms for the Maximum Degree of Subdeterminants

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Improved structural methods for nonlinear differential-algebraic equations via combinatorial relaxation;IMA Journal of Numerical Analysis;2021-12-22

2. A New Block Structural Index Reduction Approach for Large-Scale Differential Algebraic Equations;Mathematics;2020-11-18

3. Index Reduction for Differential-algebraic Equations with Mixed Matrices;Journal of the ACM;2019-10-31

4. Improved Structural Methods for Nonlinear Differential-Algebraic Equations via Combinatorial Relaxation;Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation;2019-07-08

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