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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
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Similarity relations and exponential of dual-generalized complex matrices

Authors: Gurses, Nurten; Senturk, Gulsum Yeliz;

Similarity relations and exponential of dual-generalized complex matrices

Abstract

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

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

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Published in a Diamond OA journal