O-similar and O-congruent matrices, and their properties and the O-similar and O-congruent equivalent conditions were defined. Some consequences of the full-transposed, symmetric, sub-symmetric and adjoint matrices were given. As for application, a way of finding sub-diagonalization and O-orthogonal matrices was given.
XU Yong-ping, HU Wei-qun.
O-Similarity and 0-Congruence of Matrices[J]. JOURNAL OF NANJING FORESTRY UNIVERSITY. 2006, 30(04): 59-63 https://doi.org/10.3969/j.jssn.1000-2006.2006.04.014