Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute
The authors study the tripotency of a linear combination of three matrices, which has a background in statistical theory. They demonstrate all the possible cases that lead to the tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute. By utilizing block technique and returning the partitioned matrices to their original forms, they derive the sufficient and necessary conditions such that a linear combination of three mutually commuting involutory matrices is tripotent.NEWLINENEWLINEEditorial remark: For an addendum and corrigendum cf. also [\textit{E. Kişi}, ibid. 477, 211--212 (2015; Zbl 1332.15041)].
scientific article; zbMATH DE number 6078334
scientific article