$J$-conjugate-normal matrices

Authors

  • Mojtaba Ghasemi Kamalvand Department of Mathematics, Lorestan University, Khorramabad, Iran
  • Parvin Karimi Beiranvand Department of Mathematics, Islamic Azad University, Khorramabad, Iran

DOI:

https://doi.org/10.5644/SJM.10.2.02

Keywords:

$J$--conjugate-normal matrix, $J$--symmetric matrix, $J$--skew--symmetric matrix, $J$--nonnegative matrix, $H$--normal matrix

Abstract

In this paper some properties of $J$--conjugate-normal matrices are given. In particular, a list of twenty one conditions is given, each of which is equivalent to the matrix $A$ being $J$--conjugate-normal.

 

2010 Mathematics Subject Classification. 15A24, 15B99.

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References

I. Gohberg, P. Lancaster and L. Rodman, Indefinite Linear Algebra and Applications. Birkhuser Verlag, (2005).

H. Fassbender and Kh. D. Ikramov, Conjugate-normal matrices: A survey, Linear Algebra Appl., 429 (2008), 1425–1441.

Christian Mehl and Leiba Rodman, Classes of normal matrices in indefinite inner product, Linear Algebra Appl., 336 (2001), 71–98.

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Published

04.06.2024

How to Cite

Kamalvand, M. G., & Beiranvand, P. K. (2024). $J$-conjugate-normal matrices. Sarajevo Journal of Mathematics, 10(2), 155–160. https://doi.org/10.5644/SJM.10.2.02

Issue

Vol. 10 No. 2 (2014)

Section

Articles