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Some properties of the spectral radius of a set of matrices

100%

Czornik A., Jurgas P.

International Journal of Applied Mathematics and Computer Science

2006

tom 16

nr 2

183-188

In this paper we show new formulas for the spectral radius and the spectral subradius of a set of matrices. The advantage of our results is that we express the spectral radius of any set of matrices by the spectral radius of a set of symmetric positive definite matrices. In particular, in one of our formulas the spectral radius is expressed by singular eigenvalues of matrices, whereas in the existing results it is expressed by eigenvalues.

Immanant Conversion on Symmetric Matrices

75%

Purificação Coelho M., Duffner M. A., Guterman A. E.

Special Matrices

2014

tom 2

nr 1

Letr Σn(C) denote the space of all n χ n symmetric matrices over the complex field C. The main objective of this paper is to prove that the maps Φ : Σn(C) -> Σn (C) satisfying for any fixed irre- ducible characters X, X' -SC the condition dx(A +aB) = dχ·(Φ(Α ) + αΦ(Β)) for all matrices A,В ε Σ„(С) and all scalars a ε C are automatically linear and bijective. As a corollary of the above result we characterize all such maps Φ acting on ΣИ(С).

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Special Matrices

1 Czornik A.

1 Duffner M. A.

1 Guterman A. E.

1 Jurgas P.

1 Purificação Coelho M.

1 2014

1 2006

Wyniki wyszukiwania

Some properties of the spectral radius of a set of matrices

Immanant Conversion on Symmetric Matrices