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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 42 | Number 1 | Year 2017 | Article Id. IJMTT-V42P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V42P510

Equivalent Conditions on Conjugate Unitary Matrices


A. Govindarasu, S.Sassicala
Citation :

A. Govindarasu, S.Sassicala, "Equivalent Conditions on Conjugate Unitary Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 42, no. 1, pp. 64-68, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V42P510

Abstract

Concept of conjugate unitary matrices are given. Some equivalent conditions on conjugate unitary matrices are obtained. Conditions related to secondary unitary matrices, hermitian, s-hermitian and involutary are also derived.

Keywords
Unitary matrix, secondary transpose of a matrix, conjugate secondary transpose of a matrix, conjugate unitary matrix.
References

[1]. Anna Lee, Secondary symmetric, secondary skew symmetric, secondary orthogonal matrices, Period. Math. Hungary, Vol. 7, pp. 63-70, 1976.
[2]. Anna Lee, On s-symmetric, s-skew symmetric and s-orthogonal matrices, Period. Math. Hungary, Vol. 7, pp. 71-76, 1976.
[3]. A. Faßbender and Kh.D.Ikramov, Conjugate-normal matrices: a survey, Lin. Alg. Appl., Vol. 429, pp.1425-1441, 2008.
[4]. A. Govindarasu and S. Sassicala, Characterizations of conjugate unitary matrices, Journal of ultra scientist of physical science, Vol. 29, No. 1, pp. 33–39, 2017.
[5]. S. Krishnamoorthy and A. Govindarasu, On Secondary Unitary Matrices, International Journal of computational science and Mathematics, Vol.2, No.3, pp. 247-253, 2010.
[6]. S. Krishnamoorthy and R. Vijayakumar, Some equivalent conditions on s-normal matrices, International Journal of Comtemporary Mathematical Sciences, Vol.4, No.29, pp.1449 – 1454, 2009.
[7]. A.K. Sharma, Text book of matrix theory, DPH Mathematics series, 2004.


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