Computation of the Golden Matrix Exponential Functions of Special Matrices

Computation of the matrix exponential functions is important in solving various scientific and engineering problems due to their active role in solving differential equations. Accurate and effective computation of these functions determines the success of mathematical analysis and practical applicat...

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Bibliographic Details
Published in:Journal of New Theory no. 48; pp. 61 - 77
Main Authors: Mersin, Efruz Özlem, Bahşi, Mustafa
Format: Journal Article
Language:English
Published: Naim Çağman 30.09.2024
Subjects:
fibonacci sequence
golden calculus
matrix exponential function
ISSN:2149-1402, 2149-1402
Online Access:Get full text
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Summary:Computation of the matrix exponential functions is important in solving various scientific and engineering problems due to their active role in solving differential equations. Accurate and effective computation of these functions determines the success of mathematical analysis and practical applications. Therefore, studying and understanding matrix exponential functions is the key to developing mathematical and engineering sciences. In the present paper, we aim to compute the values of the $1$st and $2$nd type Golden matrix exponential functions for some special matrices. We present the similarities and differences with the value of the well-known matrix exponential function for the same special matrices.
ISSN:2149-1402
2149-1402
DOI:10.53570/jnt.1523798