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On s-normal Circulant and con-s-normal Circulant Matrices
K. Rajesh Kannan1 , N. Elumalai2 , M. Kavitha3
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.5 , pp.173-178, Oct-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i5.173178
Online published on Oct 31, 2018
Copyright © K. Rajesh Kannan, N. Elumalai, M. Kavitha . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: K. Rajesh Kannan, N. Elumalai, M. Kavitha, “On s-normal Circulant and con-s-normal Circulant Matrices,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.5, pp.173-178, 2018.
MLA Style Citation: K. Rajesh Kannan, N. Elumalai, M. Kavitha "On s-normal Circulant and con-s-normal Circulant Matrices." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.5 (2018): 173-178.
APA Style Citation: K. Rajesh Kannan, N. Elumalai, M. Kavitha, (2018). On s-normal Circulant and con-s-normal Circulant Matrices. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(5), 173-178.
BibTex Style Citation:
@article{Kannan_2018,
author = {K. Rajesh Kannan, N. Elumalai, M. Kavitha},
title = {On s-normal Circulant and con-s-normal Circulant Matrices},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2018},
volume = {5},
Issue = {5},
month = {10},
year = {2018},
issn = {2347-2693},
pages = {173-178},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=884},
doi = {https://doi.org/10.26438/ijcse/v5i5.173178}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i5.173178}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=884
TI - On s-normal Circulant and con-s-normal Circulant Matrices
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - K. Rajesh Kannan, N. Elumalai, M. Kavitha
PY - 2018
DA - 2018/10/31
PB - IJCSE, Indore, INDIA
SP - 173-178
IS - 5
VL - 5
SN - 2347-2693
ER -
Abstract :
s-normal Circulant and con-s-normal circulant matrices are introduced and the basic roperties,results, consepts and structured theorems with examples are discussed in this paper
Key-Words / Index Term :
s-normal,con-s-normal,s-normaql circulant,con-s-normal circulant matrices.
References :
[1]. Elumalai.N, Rajesh kannan. K,” k-symmetric Circulant, s- symmetric Circulant and s- k symmetric Circulant Matrices”, Journal of Ultra Scientist of Physical Sciences, Vol.28(6),pp.322-327 (2016).
[2]. Elumalai.N, Rajesh kannan. K,” k-hermitian Circulant, s-hermitian Circulant and s- k hermitian Circulant Matrices”,Int. Journal of Mathematics & Statistics Invention, Vol.4(10), pp.22-28(2016)
3]. Elumalai.N, Rajesh kannan. K,” Some Properties of k−normal Circulant and con−k normal Circulant Matrices” Int. Journal of Pure and Applied Mathematics, Vol 113 (10), 2017, 308 – 316(2017)
[4] Febbender.H., Ikramov.H,”Conjucate Normal Matrices: A survey,” Linear Algebra and Appl.Vol.429 (2008).
[5].Hong-ping,M.A., Zheng-ke, MIAO,and Jiong-sheng,L.I.,2008,”Generalized normal Matrix”,Appl.Math.J.Chinese univ.,23(2),pp.240-244.
[6]. Horn, R.A., and Johnson,C.R., ,Matrix Analysis,Cambridge:Cambridge University press, Pp 79-482(1985)
[7]. Krishnamoorthy. S, Vijayakumar. R, On s-normal matrices, J.of Analysis and Computation, Vol 15, No 2, 2009
[8].Krishnamoorthy.S.and Subash.R.”On k-normal matrices “Int.J.of Math.Sci.&Engg.Appls Vol.5(2009).
[9]. Krishnamoorthy. S, Gunasekaran.K, Arumugam.K,” On con-k normal matrices” Int.J.of Current Research.Vol.4 (1).167- 169
[10].Penrose ,”A Generalized inverses for matrices”Proc.Cambridge Philos.soc.,Vol 51,406-413(1955).
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