Dragos-Radu Popescu:A formula for the development of the permanent of a matrix, p.433-443

Abstract:

In this paper a formula for the development of the permanent of a matrix and several identities and inequalities deduced from it are proposed. We mention for example the identity of Hurwitz and Muirhead, the mean's inequality, the inequality of Chebyshev, the identity of Binet-Cauchy, the identity of Lagrange and the identity of Tiberiu Popoviciu.

Key Words: Matrices, permanents, inequalities.

2000 Mathematics Subject Classification: Primary: 15A15,
Secondary: 15A45.

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