Geodesic
On the coneigenvalues and singular values of a~complex square matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 111-120

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It is shown that the coneigenvalues of a matrix, when properly defined (in a way different from the one commonly used in the literature), obey relations similar to the classical inequalities between the (ordinary) eigenvalues and singular values. Several interesting spectral properties of conjugate-normal matrices are indicated. This matrix class plays the same role in the theory of unitary congruences as the class of normal matrices plays in the theory of unitary similarities. 
@article{ZNSL_2006_334_a7,
     author = {Kh. D. Ikramov},
     title = {On the coneigenvalues and singular values of a~complex square matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {111--120},
     publisher = {mathdoc},
     volume = {334},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_334_a7/}
}
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Kh. D. Ikramov. On the coneigenvalues and singular values of a~complex square matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 111-120. http://geodesic.mathdoc.fr/item/ZNSL_2006_334_a7/