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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| Format: | Article |
| Language: | English |
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Naim Çağman
2024-09-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/4104085 |
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| author | Mustafa Bahşi Efruz Özlem Mersin |
| author_facet | Mustafa Bahşi Efruz Özlem Mersin |
| author_sort | Mustafa Bahşi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c3877fb22c2f4b1d86052fae4fda62e6 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-c3877fb22c2f4b1d86052fae4fda62e62025-08-20T03:10:56ZengNaim ÇağmanJournal of New Theory2149-14022024-09-0148617710.53570/jnt.15237982425Computation of the Golden Matrix Exponential Functions of Special MatricesMustafa Bahşi0https://orcid.org/0000-0002-6356-6592Efruz Özlem Mersin1https://orcid.org/0000-0001-6260-9063AKSARAY UNIVERSITYAKSARAY ÜNİVERSİTESİComputation 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.https://dergipark.org.tr/en/download/article-file/4104085fibonacci sequencegolden calculusmatrix exponential function |
| spellingShingle | Mustafa Bahşi Efruz Özlem Mersin Computation of the Golden Matrix Exponential Functions of Special Matrices Journal of New Theory fibonacci sequence golden calculus matrix exponential function |
| title | Computation of the Golden Matrix Exponential Functions of Special Matrices |
| title_full | Computation of the Golden Matrix Exponential Functions of Special Matrices |
| title_fullStr | Computation of the Golden Matrix Exponential Functions of Special Matrices |
| title_full_unstemmed | Computation of the Golden Matrix Exponential Functions of Special Matrices |
| title_short | Computation of the Golden Matrix Exponential Functions of Special Matrices |
| title_sort | computation of the golden matrix exponential functions of special matrices |
| topic | fibonacci sequence golden calculus matrix exponential function |
| url | https://dergipark.org.tr/en/download/article-file/4104085 |
| work_keys_str_mv | AT mustafabahsi computationofthegoldenmatrixexponentialfunctionsofspecialmatrices AT efruzozlemmersin computationofthegoldenmatrixexponentialfunctionsofspecialmatrices |