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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
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.


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

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