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lab.rockefeller.edu/cohenje/PDFs/090ConvexityDominantEi... lab.rockefeller.edu/cohenje/PDFs/090ConvexityDominantEigenvalueProcAMS1981.pdf
AN ESSENTIALLY NONNEGATIVE MATRIX. 10121. E. comes'. Ansmacr. The dominant eigenvalue of a real n X n matrix A with nonnegative elements off the ...
www.math.wsu.edu/faculty/tsat/files/nst.pdf
ESSENTIALLY NONNEGATIVE MATRICES by. Michael Neumann ∗ ... Let A be an n × n essentially nonnegative matrix and consider the linear differential ...
www.jstor.org/stable/2098712
The matrix Q is essentially nonnegative if and only if eQt is nonnegative ... Any essentially nonnegative matrix has a nonnegative eigen- vector. 4See [9, 11].
citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.114.3... citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.114.3767&rep=rep1&type=pdf
176]) A is essentially non- negative if and only if the state transition matrix eAt is nonnegative on [0; ∞). Hence, if A is essentially non- negative and x0 ¿¿ 0, then ...
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Jun 30, 2004 ... Soc., 86 (1979), 343–350), which states that for an essentially nonnegative and irreducible matrix A, the Perron root is a convex function of the ...
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For a general essentially nonnegative matrix, we obtain an upper bound for the ... Key words: Essentially nonnegative matrix, Matrix exponential, Entrywise ...
www.csl.sri.com/~tiwari/papers/box_2.pdf
1Metzler matrices are also known as essentially non-negative matrices. Perron and Frobenius (see refs. [17], [18]) were the first to study positive matrices; many ...
www.sciencedirect.com/science/article/pii/0024379584900... www.sciencedirect.com/science/article/pii/002437958490020X
... are convex. Here D is diagonal, A a nonnegative n × n matrix, and ρ the spectral radius. ... We give essentially two versions of the proof. Firstly, we relate the ...
www.polyu.edu.hk/ama/staff/new/qilq/ZQL.pdf
Oct 28, 2011 ... Abstract. It is well known that the dominant eigenvalue of a real essentially nonnegative matrix is a convex function of its diagonal entries.
Perron–Frobenius theorem - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Perron%E2%80%93Frobenius_theorem
2.1 Non-negative matrices; 2.2 Stochastic matrices; 2.3 Algebraic graph ..... the cyclic properties (6)–(8) but it's essentially just a matter of turning the handle.
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