The investigation of spectral properties and characteristics of λ-matrices of general form is continued. The concept of a matrix solution is extended to the case of singular λ-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.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 139, pp. 111–124, 1984.
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Khazanov, V.B. Some spectral characteristics of λ-matrices. J Math Sci 36, 251–261 (1987). https://doi.org/10.1007/BF01091805
- Spectral Characteristic
- Spectral Property
- Existence Theorem
- Matrix Solution
- Matrix Quantity