Similarity relations and exponential of dual-generalized complex matrices
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol.31, no.3, pp.145-165, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 31 Issue: 3
- Publication Date: 2023
- Doi Number: 10.2478/auom-2023-0036
- Journal Name: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.145-165
- Keywords: Dual-generalized complex matrices, Eigenvalues and eigenvectors, Fundamental matrix, Matrix exponential, Similarity
- Istanbul Gelisim University Affiliated: Yes
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.