Journal Article

·2023 OPEN ACCESS

Similarity relations and exponential of dual-generalized complex matrices

Nurten Gürses YTU , Gülsüm Yeliz Şentürk YTU

Analele Universităţii "Ovidius" Constanţa. Seria Matematică

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

Mathematics Similarity (geometry) Dual (grammatical number) Exponential function Pure mathematics Algebra over a field Mathematical analysis Computer science Artificial intelligence Philosophy Linguistics

Subject Areas

Matrix Theory and Algorithms ·Computational Theory and Mathematics ·Physical Sciences
Algebraic and Geometric Analysis ·Applied Mathematics ·Physical Sciences
Mathematics and Applications ·Geometry and Topology ·Physical Sciences