On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial
We obtain inequalities involving numerical radius of a matrix A∈Mn(ℂ). Using this result, we find upper bounds for zeros of a given polynomial. We also give a method to estimate the spectral radius of a given matrix A∈Mn(ℂ) up to the desired degree of accuracy.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/129132 |
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| Summary: | We obtain inequalities involving numerical radius of a matrix A∈Mn(ℂ). Using this result, we find upper bounds for zeros of a given polynomial. We also give a method to estimate the spectral radius of a given matrix A∈Mn(ℂ) up to the desired degree of accuracy. |
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| ISSN: | 0161-1712 1687-0425 |