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How to solve the matrix equation XA-AX=f(X)

Published:2011-02 Issue:3 Volume:434 Page:657-668
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Bourgeois Gerald

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference11 articles.

1. On the matrix equation XA-AX=τ(X);Andelic;Appl. Anal. Discrete Math.,2007

2. Positive solutions to X=A-BX-1B∗;Anderson;Linear Algebra Appl.,1990

3. The Riccati Equation;Bittanti,1991

4. Algebraic systems of matrices and Gröbner basis theory;Bourgeois;Linear Algebra Appl.,2009

5. On the matrix equation XA-AX=Xp;Burde;Linear Algebra Appl.,2005

Cited by 9 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. Conjugate gradient-like algorithms for constrained operator equation related to quadratic inverse eigenvalue problems;Computational and Applied Mathematics;2021-05-08

2. Reordering in Noncommutative Algebras Associated with Iterated Function Systems;Springer Proceedings in Mathematics & Statistics;2020

3. Reordering, Centralizers and Centers in an Algebra with Three Generators and Lie Type Relations;Springer Proceedings in Mathematics & Statistics;2020

4. Reordering in a multi-parametric family of algebras;Journal of Physics: Conference Series;2019-04

5. Bibliography;Commutation Relations, Normal Ordering, and Stirling Numbers;2015-08-20

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