# Some properties of the spectral radius of a set of matrices

International Journal of Applied Mathematics and Computer Science (2006)

- Volume: 16, Issue: 2, page 183-188
- ISSN: 1641-876X

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topCzornik, Adam, and Jurgas, Piotr. "Some properties of the spectral radius of a set of matrices." International Journal of Applied Mathematics and Computer Science 16.2 (2006): 183-188. <http://eudml.org/doc/207783>.

@article{Czornik2006,

abstract = {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.},

author = {Czornik, Adam, Jurgas, Piotr},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {symmetric matrices; spectral subradius; spectral radius; singular eigenvalues},

language = {eng},

number = {2},

pages = {183-188},

title = {Some properties of the spectral radius of a set of matrices},

url = {http://eudml.org/doc/207783},

volume = {16},

year = {2006},

}

TY - JOUR

AU - Czornik, Adam

AU - Jurgas, Piotr

TI - Some properties of the spectral radius of a set of matrices

JO - International Journal of Applied Mathematics and Computer Science

PY - 2006

VL - 16

IS - 2

SP - 183

EP - 188

AB - 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.

LA - eng

KW - symmetric matrices; spectral subradius; spectral radius; singular eigenvalues

UR - http://eudml.org/doc/207783

ER -

## References

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