2011/07/12 by Gérald Bourgeois, Gerald Bourgeois, Bourgeois, Gerald
Computer Science · Mathematics · #15A24 #Advanced Combinatorial Mathematics #FOS: Mathematics #Mathematical Dynamics and Fractals #Rings and Algebras (math.RA) #Topological and Geometric Data Analysis #math.RA #msc:15A24
paper · pdf · doi:10.48550/arxiv.1107.2278
arxiv created 2011/07/12 · openalex publication_date 2011/07/12 · arxiv updated 2011/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let A,B be two square complex matrices of dimension at most 3. We show that the following conditions are equivalent i) There exists a finite subset U included in 2,3,4,... such that for every positive integer t that is not in U, exp(tA+B)=exp(tA)exp(B)=exp(B)exp(tA). ii) The pair (A,B) has property L of Motzkin and Taussky and exp(A+B)=exp(A)exp(B)=exp(B)exp(A).