6533b824fe1ef96bd12806bb

RESEARCH PRODUCT

Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices

M. CatralL. LebtahiJ. StuartNéstor Thome

subject

S-potent matrixSpectrumMatrius (Matemàtica){R s+1 k}-potent matrixMATEMATICA APLICADAK-involutory matrix

description

[EN] The {R, s +1, k}- and {R, s +1, k, *}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R, s + 1, k} -potent matrices is developed using characterizations involving an associated matrix pencil (A, R). The corresponding spectral study for {R, s+ 1, k, *}-potent matrices involves the pencil (A*, R). In order to present some properties, the relevance of the projector I - AA(#). where A(#) is the group inverse of A is highlighted. In addition, some applications and numerical examples are given, particularly involving Pauli matrices and the quaternions.

yearjournalcountryeditionlanguage
2020-08-01
10.1016/j.cam.2019.112414https://doi.org/10.1016/j.cam.2019.112414