<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>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.</p>
</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.

Similarity relations and exponential of dual-generalized complex matrices

Department of Mathematics, Faculty of Arts and Sciences

Department of Computer Engineering, Faculty of Engineering and Architecture

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Similarity relations and exponential of dual-generalized complex matrices"}

In this study, taking into account the fundamental properties of dual-generalized complex (DGC) matrices, various types of similarity relations are introduced...

Similarity relations and exponential of dual-generalized complex matrices

Publié en ligne: 21 oct. 2023

Pages: 145 - 165

Reçu: 25 sept. 2022

Accepté: 29 déc. 2022

DOI: https://doi.org/10.2478/auom-2023-0036

Mots clés
Dual-generalized complex matrices, Fundamental matrix, Eigenvalues and eigenvectors, Similarity, Matrix exponential

© 2023 Nurten Gürses et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Similarity relations and exponential of dual-generalized complex matrices

Publié en ligne: 21 oct. 2023

Pages: 145 - 165

Reçu: 25 sept. 2022

Accepté: 29 déc. 2022

DOI: https://doi.org/10.2478/auom-2023-0036

Mots clésDual-generalized complex matrices, Fundamental matrix, Eigenvalues and eigenvectors, Similarity, Matrix exponential

© 2023 Nurten Gürses et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Dual-generalized complex matrices, Fundamental matrix, Eigenvalues and eigenvectors, Similarity, Matrix exponential