Derivatives of the spectral radius as a function of non-negative matrix elements
Copyright policy ) Cohen, Joel E.;
Derivatives of the spectral radius as a function of non-negative matrix elements
Let A = (aij) be a non-negative n × n matrix, that is, aij ≥ 0, i, j = 1, …, n; n > 1. We write A ≥ 0. Let r = r(A) be the spectral radius of A; assume r > 0 throughout to avoid trivial cases. Let be the mth derivative of r with respect to the element aij, all other elements of A being held constant.
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Positive matrices and their generalizations; cones of matrices, Eigenvalues, singular values, and eigenvectors, Inequalities involving eigenvalues and eigenvectors
Positive matrices and their generalizations; cones of matrices, Eigenvalues, singular values, and eigenvectors, Inequalities involving eigenvalues and eigenvectors
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 28
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