The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers

Joint Authors

Yao, Jin-jiang
Jiang, Zhao-lin

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-17

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We consider the skew circulant and skew left circulant matrices with any continuous Lucas numbers.

Firstly, we discuss the invertibility of the skew circulant matrices and present the determinant and the inverse matrices by constructing the transformation matrices.

Furthermore, the invertibility of the skew left circulant matrices is also discussed.

We obtain the determinants and the inverse matrices of the skew left circulant matrices by utilizing the relationship between skew left circulant matrices and skew circulant matrix, respectively.

Finally, the four kinds of norms and bounds for the spread of these matrices are given, respectively.

American Psychological Association (APA)

Yao, Jin-jiang& Jiang, Zhao-lin. 2014. The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-456482

Modern Language Association (MLA)

Yao, Jin-jiang& Jiang, Zhao-lin. The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-456482

American Medical Association (AMA)

Yao, Jin-jiang& Jiang, Zhao-lin. The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-456482

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-456482