A spectral radius theorem for matrix seminorms
نویسندگان
چکیده
منابع مشابه
Perron-Frobenius Theorem for Spectral Radius Analysis
The spectral radius of a matrix A is the maximum norm of all eigenvalues of A. In previous work we already formalized that for a complex matrix A, the values in A grow polynomially in n if and only if the spectral radius is at most one. One problem with the above characterization is the determination of all complex eigenvalues. In case A contains only non-negative real values, a simplification ...
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Let A = [an] be an n X n matrix with complex entries. We define p(A ) to be the spectral radius of A and | A | to be the matrix [| a,y |]. A. Brauer [1], W. Ledermann [2] and A. Ostrowski [4] have developed bounds for p(\ A |). Their results, coupled with the result of Perron and Frobenius [6] that p(A) ^ p(\ A |) give upper bounds for p( A ) which are not less than p(\ A | ). These bounds are ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1978
ISSN: 0024-3795
DOI: 10.1016/0024-3795(78)90061-7