On complex matrices that are unitarily similar to real matrices

Author:

Ikramov Kh. D.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference5 articles.

1. G. E. Shilov, Mathematical Analysis. Finite-Dimensional Linear Spaces (Nauka, Moscow, 1969) [in Russian].

2. R. Horn and Ch. Johnson, Matrix analysis (Cambridge Univ. Press, Cambridge, 1985; Mir, Moscow, 1989).

3. C. Pearcy, “A complete set of unitary invariants for operators generating finite W*-algebras of type I,” Pacific J. Math. 12, 1405–1416 (1962).

4. Kh. D. Ikramov, “On a finite rational criterion for the irreducibility of a matrix,” Vestn. Mosk. Univ., Ser. XV Vychisl. Mat. Kibernet., No. 3, 16–18 (2007) [Moscow Univ. Comput. Math. Cybernet. 31 (3), 95–96 (2007)].

5. Kh. D. Ikramov, “On complex matrices that can be made real by a unitary similarity transformation,” Dokl. Ross. Akad. Nauk 430(1), 15–17 (2010) [Russian Acad. Sci. Dokl. Math. 81 (1), 8–10 (2010)].

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