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

Jianwei Zhou | Zendy; Xiangyong Chen | Zendy; Zhaolin Jiang | Zendy

Open Access

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

Author(s) -

Jianwei Zhou,

Xiangyong Chen,

Zhaolin Jiang

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/518913

Subject(s) - circulant matrix , binomial coefficient , mathematics , harmonic number , matrix (chemical analysis) , harmonic , type (biology) , combinatorics , pure mathematics , discrete mathematics , physics , riemann hypothesis , ecology , materials science , quantum mechanics , biology , composite material

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

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