Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers
Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed. The invertibility of the skew circulant type matrices is conside...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/951340 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564209114677248 |
|---|---|
| author | Zhaolin Jiang Yunlan Wei |
| author_facet | Zhaolin Jiang Yunlan Wei |
| author_sort | Zhaolin Jiang |
| collection | DOAJ |
| description | Skew circulant and circulant matrices have been an ideal research area and hot issue for solving
various differential equations. In this paper, the skew circulant type matrices with the sum of
Fibonacci and Lucas numbers are discussed. The invertibility of the skew circulant type matrices
is considered. The determinant and the inverse matrices are presented. Furthermore, the maximum
column sum matrix norm, the spectral norm, the Euclidean (or Frobenius) norm, the maximum
row sum matrix norm, and bounds for the spread of these matrices are given, respectively. |
| format | Article |
| id | doaj-art-8339212a5731483db83646e459673a4d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8339212a5731483db83646e459673a4d2025-02-03T01:11:38ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/951340951340Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas NumbersZhaolin Jiang0Yunlan Wei1School of Science, Linyi University, Shuangling Road, Linyi, Shandong 276000, ChinaSchool of Science, Linyi University, Shuangling Road, Linyi, Shandong 276000, ChinaSkew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed. The invertibility of the skew circulant type matrices is considered. The determinant and the inverse matrices are presented. Furthermore, the maximum column sum matrix norm, the spectral norm, the Euclidean (or Frobenius) norm, the maximum row sum matrix norm, and bounds for the spread of these matrices are given, respectively.http://dx.doi.org/10.1155/2015/951340 |
| spellingShingle | Zhaolin Jiang Yunlan Wei Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers Abstract and Applied Analysis |
| title | Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers |
| title_full | Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers |
| title_fullStr | Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers |
| title_full_unstemmed | Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers |
| title_short | Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers |
| title_sort | skew circulant type matrices involving the sum of fibonacci and lucas numbers |
| url | http://dx.doi.org/10.1155/2015/951340 |
| work_keys_str_mv | AT zhaolinjiang skewcirculanttypematricesinvolvingthesumoffibonacciandlucasnumbers AT yunlanwei skewcirculanttypematricesinvolvingthesumoffibonacciandlucasnumbers |