Similarity relations and exponential of dual-generalized complex matrices

Abstract

In this study, taking into account the fundamental properties of dual-generalized complex (DGC) matrices, various types of similarity relations are introduced considering coneigenvalues/coneigenvectors via di erent conjugates. The exponential version of DGC matrices are identified and then their theoretical characteristic theorems are obtained. Finally, examples for DGC matrix exponential are given.

Keywords

• dual-generalized complex matrices
• fundamental matrix
• eigenvalues and eigenvectors
• similarity
• matrix exponential
• primary 15b33
• secondary 15a18, 15a09