Some Results on Certain Symmetric Circulant Matrices

Authors

  • A. V. Ramakrishna Department of Mathematics, R.V.R and J.C College of Engineering, Chowdavaram, Guntur-522019, Andhra Pradesh
  • T. V. N. Prasanna Department of Mathematics, NRI Institute of Technology, Visadala, Guntur-522009, Andhra Pradesh

DOI:

https://doi.org/10.26713/jims.v7i2.276

Abstract

A direct method for nding the inverse of a class of symmetric circulant matrices is given in [4]. In this paper a method of nding the Moore-Penrose inverse for a class of singular circulant matrices is presented and the spectral norm and spectral radius are calculated. Finally the spectral norm and spectral radius for symmetric circulant matrices with binomial coecients are derived.

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References

W.N. Anderson, Jr and R.J. Duffn, Series and parallel addition of matrices, Journal of Mathematical Analysis and Applications, 26 (1969), 576-594.

F.F. Bonsall and D.S.G. Stirling, Square roots in Banach *-algebras Glasgow Math. J., 13 (74), 1972.

R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press (1985).

A.V. Ramakrishna and T.V.N. Prasanna, Symmetric circulant matrices and public key cryptography, Int. J. Contemp. Math. Sciences, 8 (12) (2013), 589--593.

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Published

2015-11-30
CITATION

How to Cite

Ramakrishna, A. V., & Prasanna, T. V. N. (2015). Some Results on Certain Symmetric Circulant Matrices. Journal of Informatics and Mathematical Sciences, 7(2), 81–86. https://doi.org/10.26713/jims.v7i2.276

Issue

Vol. 7 No. 2 (2015)

Section

Research Articles

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