1. Fundamental Concept of 3-D Matrices.
- Author
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İzgi, Burhaneddin and Özkaya, Murat
- Subjects
- *
MATRICES (Mathematics) , *MATRIX inversion , *MATHEMATICAL inequalities , *INFINITE processes , *ALGEBRA - Abstract
In this paper, we extend some definitions and properties for the 2-dimensional matrices to the 3-dimensional matrices. We present some basic concepts of the 3-dimensional matrices. Moreover, we introduce the matrix inversion, determinant and condition number vectors for the 3-D matrices. Furthermore, we state and prove Cauchy-Schwarz inequality and some other inequalities related to the 3-dimensional matrix norms. We finally investigate the effects of the third dimension with the new definitions and inequalities by some examples. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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