Abstract
Permanental compound matrices are investigated, compared with classical compound matrices, and used for estimating matrix eigenvalue products and root products of a polynomial. Bibliography: 8 titles.
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REFERENCES
R. A. Brualdi and M. Newman, “Inequalities for the permanental minors of non-negative matrices,” Canad. J. Math., XVIII, No.3, 608–615 (1966).
M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities [Russian translation], Nauka, Moscow (1972).
A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications [Russian translation], Mir, Moscow (1983).
Yu. A. Al'pin and V. S. Al'pina, “Permanental inequalities for eigenvalues,” in: Actual Problems of Mathematics and Mechanics, Proceedings of the International Scientific Conference, Kazan' (2000).
H. Minc, Permanents [Russian translation], Mir, Moscow (1982).
F. R. Gantmakher, Matrix Theory [in Russian], Nauka, Moscow (1967).
R. Horn and C. R. Johnson, Matrix Analysis [Russian translation], Mir, Moscow (1989).
I. M. Glazman and Yu. I. Lubich, Finite-Dimensional Linear Analysis [in Russian], Nauka, Moscow (1969).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 309, 2002, pp. 5–16.
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Al'pina, V.S., Al'pin, Y.A. Permanental Compound Matrices and Schneider's Theorem. J Math Sci 132, 147–152 (2006). https://doi.org/10.1007/s10958-005-0483-6
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DOI: https://doi.org/10.1007/s10958-005-0483-6