2013/05/29 by Lena Klimenko, Klimenko, Lena
Computer Science · Engineering · Mathematics · #15A21 #15A63 #47A07 #FOS: Mathematics #Mathematics and Applications #Matrix Theory and Algorithms #Representation Theory (math.RT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1305.6675
openalex publication_date 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
V.I. Arnold [Russian Math. Surveys 26(2) (1971) 29-43] constructed miniversal deformations of square complex matrices under similarity. Reduction transformations to them and also to miniversal deformations of matrix pencils and matrices under congruence can be taken holomorphic. We prove that this is not true for reduction transformations to miniversal deformations of matrices under *congruence.