
handle: 11363/8042
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.
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
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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