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.
In mathematics, a Carlemanmatrix is a matrix used to convert function composition into matrix multiplication. It is often used in iteration theory to...
In mathematics, Carleman linearization (or Carleman embedding) is a technique to transform a finite-dimensional nonlinear dynamical system into an infinite-dimensional...
matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...
approximate the modes and eigenvalues of the composition operator. CarlemanmatrixCarleman linearization Composition ring Multiplication operator Transpose...
Torsten Carleman (8 July 1892, Visseltofta, Osby Municipality – 11 January 1949, Stockholm), born Tage Gillis Torsten Carleman, was a Swedish mathematician...
(perturbative determination of the principal eigenfunction Ψ, cf. Carlemanmatrix) is equivalent to the algorithm of the preceding section, albeit, in...
Science of Georgian SSR, Tbilisi, 1965 (Russian). Džanašija, G. A. (1962). "Carleman's problem for the class of Gevrey functions". Doklady Akademii Nauk SSSR...
functions of random variables Moment problem Hamburger moment problem Carleman's condition Hausdorff moment problem Trigonometric moment problem Stieltjes...
0 , 1 ) {\textstyle N(0,1)} in distribution. Carleman's condition Hamburger moment problem Hankel matrix Hausdorff moment problem Moment (mathematics)...
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...
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...
envelopes problem Expected value / (12:DCR) Canonical correlation / (F:R) Carleman's condition / anl (1:R) Central moment / (1:R) Coefficient of variation /...