Multivariate Bottcher equation for polynomials with non-negative coefficients
Multivariate Bottcher equation for polynomials with non-negative coefficients
We give conditions for the multivariate Bottcher equation $b(f(x)) = b(x)^a$ to have a solution, in the case where $f : R^d \to R^d$ is a polynomial with non-negative coefficients. The solution is constructed from the limit of the functional iterates $-a^{-n} \log f^n(x)$.
multivariate Böttcher equation, functional iteration, projective distance, non-negative matrix, topical function, multitype branching process
251-265
Jones, O.D.
d5046a34-1cd1-4404-95be-39fa10adc806
2002
Jones, O.D.
d5046a34-1cd1-4404-95be-39fa10adc806
Jones, O.D.
(2002)
Multivariate Bottcher equation for polynomials with non-negative coefficients.
Aequationes Mathematicae, 63 (3), .
(doi:10.1007/s00010-002-8023-7).
Abstract
We give conditions for the multivariate Bottcher equation $b(f(x)) = b(x)^a$ to have a solution, in the case where $f : R^d \to R^d$ is a polynomial with non-negative coefficients. The solution is constructed from the limit of the functional iterates $-a^{-n} \log f^n(x)$.
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Published date: 2002
Keywords:
multivariate Böttcher equation, functional iteration, projective distance, non-negative matrix, topical function, multitype branching process
Organisations:
Operational Research
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Local EPrints ID: 29685
URI: http://eprints.soton.ac.uk/id/eprint/29685
ISSN: 0001-9054
PURE UUID: 29d0475e-4188-4b5f-82a3-02fb44a71905
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Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:33
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Author:
O.D. Jones
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