The Explicit Identities for Spectral Norms of Circulant-Type Matrices Involving Binomial Coefficients and Harmonic Numbers

Joint Authors

Zhou, Jianwei
Chen, Xiangyong
Jiang, Zhaolin

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-12

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Civil Engineering

Abstract EN

The explicit formulae of spectral norms for circulant-type matrices are investigated; the matrices are circulant matrix, skew-circulant matrix, and g-circulant matrix, respectively.

The entries are products of binomial coefficients with harmonic numbers.

Explicit identities for these spectral norms are obtained.

Employing these approaches, some numerical tests are listed to verify the results.

American Psychological Association (APA)

Zhou, Jianwei& Chen, Xiangyong& Jiang, Zhaolin. 2014. The Explicit Identities for Spectral Norms of Circulant-Type Matrices Involving Binomial Coefficients and Harmonic Numbers. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-478118

Modern Language Association (MLA)

Zhou, Jianwei…[et al.]. The Explicit Identities for Spectral Norms of Circulant-Type Matrices Involving Binomial Coefficients and Harmonic Numbers. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-478118

American Medical Association (AMA)

Zhou, Jianwei& Chen, Xiangyong& Jiang, Zhaolin. The Explicit Identities for Spectral Norms of Circulant-Type Matrices Involving Binomial Coefficients and Harmonic Numbers. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-478118

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-478118