Algebraic proof methods for identities of matrices and operators: Improvements of Hartwig’s triple reverse order law

Author:

Cvetković-Ilić Dragana S.,Hofstadler Clemens,Hossein Poor Jamal,Milošević Jovana,Raab Clemens G.,Regensburger Georg

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference37 articles.

1. A generalized inverse for matrices;Penrose;Proc. Cambridge Philos. Soc.,1955

2. Positive solutions to operator equations AXB=C;Arias;Linear Algebra Appl.,2010

3. Certifying operator identities via noncommutative Gröbner bases;Hofstadler;ACM Commun. Comput. Algebra,2019

4. Formal proofs of operator identities by a single formal computation;Raab;J. Pure Appl. Algebra,2021

5. Certifying operator identities and ideal membership of noncommutative polynomials;Hofstadler,2020

Cited by 2 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. Short proofs of ideal membership;Journal of Symbolic Computation;2024-11

2. Computing Elements of Certain Form in Ideals to Prove Properties of Operators;Mathematics in Computer Science;2022-09

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