Geodesic
Some spectral characteristics of $\lambda$-matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 111-124

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The investigation of spectral properties and characteristics of $\lambda$-matrices of general form is continued. The concept of a matrix solution is extended to the case of singular $\lambda$-matrices. The concept of reducing subspaces and the concepts of a block eigenvalue and a block eigenvector are generalized. Existence theorems are proved; spectral properties of matrix quantities associated with the concepts indicated and their generalizations are established. 
@article{ZNSL_1984_139_a7,
     author = {V. B. Khazanov},
     title = {Some spectral characteristics of $\lambda$-matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {111--124},
     publisher = {mathdoc},
     volume = {139},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a7/}
}
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V. B. Khazanov. Some spectral characteristics of $\lambda$-matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 111-124. http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a7/