Similarity relations and exponential of dual-generalized complex matrices
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| Title: | Similarity relations and exponential of dual-generalized complex matrices |
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| Authors: | Gurses, Nurten, Senturk, Gulsum Yeliz |
| Source: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 3, Pp 145-165 (2023) |
| Publisher Information: | Walter de Gruyter GmbH, 2023. |
| Publication Year: | 2023 |
| Subject Terms: | Eigenvalues, singular values, and eigenvectors, Matrices over special rings (quaternions, finite fields, etc.), Matrix exponential, Dual-generalized complex matrices, Similarity, matrix exponential, secondary 15a18, 15a09, eigenvalues and eigenvectors, dual-generalized complex matrices, fundamental matrix, QA1-939, Theory of matrix inversion and generalized inverses, primary 15b33, similarity, Fundamental matrix, Mathematics, Eigenvalues and eigenvectors |
| Description: | 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. |
| Document Type: | Article |
| File Description: | application/xml; application/pdf |
| Language: | English |
| ISSN: | 1844-0835 |
| DOI: | 10.2478/auom-2023-0036 |
| Access URL: | https://zbmath.org/8036497 https://doi.org/10.2478/auom-2023-0036 https://doaj.org/article/ff56287b16384ae5971e63152165f4da https://avesis.yildiz.edu.tr/publication/details/d706cc45-26ae-4766-868b-304f66b0e784/oai https://avesis.yildiz.edu.tr/publication/details/9876327e-22bb-4acc-9148-488db5c12428/oai |
| Rights: | CC BY NC ND |
| Accession Number: | edsair.doi.dedup.....c96f310d6f8d1090c9f6ce32b2f5f7c7 |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | 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. |
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| ISSN: | 18440835 |
| DOI: | 10.2478/auom-2023-0036 |