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Some spectral characteristics of λ-matrices

Abstract

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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Additional information

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

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Keywords

  • Spectral Characteristic
  • Spectral Property
  • Existence Theorem
  • Matrix Solution
  • Matrix Quantity