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Carleman matrix information


In mathematics, a Carleman matrix is a matrix used to convert function composition into matrix multiplication. It is often used in iteration theory to find the continuous iteration of functions which cannot be iterated by pattern recognition alone. Other uses of Carleman matrices occur in the theory of probability generating functions, and Markov chains.

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Carleman matrix

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In mathematics, a Carleman matrix is a matrix used to convert function composition into matrix multiplication. It is often used in iteration theory to...

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Carleman linearization

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In mathematics, Carleman linearization (or Carleman embedding) is a technique to transform a finite-dimensional nonlinear dynamical system into an infinite-dimensional...

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List of named matrices

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matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

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Composition operator

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approximate the modes and eigenvalues of the composition operator. Carleman matrix Carleman linearization Composition ring Multiplication operator Transpose...

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Torsten Carleman

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Torsten Carleman (8 July 1892, Visseltofta, Osby Municipality – 11 January 1949, Stockholm), born Tage Gillis Torsten Carleman, was a Swedish mathematician...

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Iterated function

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(perturbative determination of the principal eigenfunction Ψ, cf. Carleman matrix) is equivalent to the algorithm of the preceding section, albeit, in...

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Composition ring

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polynomial functions. Composition operator Polynomial decomposition Carleman matrix Adler, Irving (1962), "Composition rings", Duke Mathematical Journal...

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Gigla Janashia

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Science of Georgian SSR, Tbilisi, 1965 (Russian). Džanašija, G. A. (1962). "Carleman's problem for the class of Gevrey functions". Doklady Akademii Nauk SSSR...

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List of theorems

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topology) Deduction theorem (logic) Denjoy theorem (dynamical systems) Denjoy–Carleman theorem (functional analysis) Desargues's theorem (projective geometry)...

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List of probability topics

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functions of random variables Moment problem Hamburger moment problem Carleman's condition Hausdorff moment problem Trigonometric moment problem Stieltjes...

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Moment problem

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0 , 1 ) {\textstyle N(0,1)} in distribution. Carleman's condition Hamburger moment problem Hankel matrix Hausdorff moment problem Moment (mathematics)...

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List of inequalities

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inequality Borell–Brascamp–Lieb inequality Brezis–Gallouet inequality Carleman's inequality Chebyshev–Markov–Stieltjes inequalities Chebyshev's sum inequality...

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Hamburger moment problem

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CDnn! (Reed & Simon 1975, p. 205). This follows from the more general Carleman's condition. There are examples where the solution is not unique; see e...

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Stieltjes moment problem

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There are several sufficient conditions for uniqueness, for example, Carleman's condition, which states that the solution is unique if ∑ n ≥ 1 m n − 1...

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List of numerical analysis topics

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analysis: Sparse matrix Band matrix Bidiagonal matrix Tridiagonal matrix Pentadiagonal matrix Skyline matrix Circulant matrix Triangular matrix Diagonally dominant...

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Catalog of articles in probability theory

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envelopes problem Expected value / (12:DCR) Canonical correlation / (F:R) Carleman's condition / anl (1:R) Central moment / (1:R) Coefficient of variation /...

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