Geodesic
Some spectral characteristics of $\lambda$-matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 111-124 
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/
@article{ZNSL_1984_139_a7,
     author = {V. B. Khazanov},
     title = {Some spectral characteristics of $\lambda$-matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {111--124},
     year = {1984},
     volume = {139},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a7/}
}
TY  - JOUR
AU  - V. B. Khazanov
TI  - Some spectral characteristics of $\lambda$-matrices
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1984
SP  - 111
EP  - 124
VL  - 139
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a7/
LA  - ru
ID  - ZNSL_1984_139_a7
ER  - 
%0 Journal Article
%A V. B. Khazanov
%T Some spectral characteristics of $\lambda$-matrices
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 111-124
%V 139
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a7/
%G ru
%F ZNSL_1984_139_a7

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.