Geodesic
Latent roots of lambda-matrices, Kronecker sums and matricial norms
Applications of Mathematics, Tome 25 (1980) no. 6, pp. 395-399.

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Kronecker sums and matricial norms are used in order to give a method for determining upper bounds for $\left|A\right|$ where $A$ is a latent root of a lambda-matrix. In particular, upper bounds for $\left|z\right|$ are obtained where $z$ is a zero of a polynomial with complex coefficients. The result is compared with other known bounds for $\left|z\right|$.
DOI : 10.21136/AM.1980.103877
Classification : 15A42, 15A45, 30C15
Keywords: Kronecker sum; latent roots 
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     title = {Latent roots of lambda-matrices, {Kronecker} sums and matricial norms},
     journal = {Applications of Mathematics},
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Vitória, José. Latent roots of lambda-matrices, Kronecker sums and matricial norms. Applications of Mathematics, Tome 25 (1980) no. 6, pp. 395-399. doi : 10.21136/AM.1980.103877. http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103877/

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