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On the closed representation for the inverses of Hessenberg matrices

  • Published:2012-06 Issue:12 Volume:236 Page:2962-2970
  • ISSN:0377-0427
  • Container-title:Journal of Computational and Applied Mathematics
  • language:en
  • Short-container-title:Journal of Computational and Applied Mathematics

Author:

Abderramán Marrero J.,Tomeo V.

Funder

UPM-CAM

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference27 articles.

1. Methods of inverting tridiagonal matrices;Bukhberger;Comput. Math. Math. Phys. USSR,1973

2. On inverses of Hessenberg matrices;Ikebe;Linear Algebra Appl.,1979

3. Inversion of band matrices;Yamamoto;Linear Algebra Appl.,1979

4. Properties of a matrix, inverse of a Hessenberg matrix;Faddeev;J. Math. Sci.,1984

5. Determinants and their Applications in Mathematical Physics;Vein,1999

Cited by 10 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. On the factorization and the inverse of a tridiagonal matrix;Journal of Discrete Mathematical Sciences and Cryptography;2021-06-13

2. Explicit inversion formulas for properly Hessenberg and Toeplitz–Hessenberg matrices;Linear and Multilinear Algebra;2018-11-01

3. Inverses and Determinants of Toeplitz-Hessenberg Matrices;Taiwanese Journal of Mathematics;2018-06-01

4. On compact representations for the solutions of linear difference equations with variable coefficients;Journal of Computational and Applied Mathematics;2017-07

5. Hybrid Ikebe–Newton’s iteration for inverting general nonsingular Hessenberg matrices;Applied Mathematics and Computation;2015-10
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