Analysis of Carleman representation of analytical recursions Academic Article

abstract

• We study a general method to map a nonlinear analytical recursion onto a linear one. The solution of the recursion is represented as a product of matrices whose elements depend only on the form of the recursion and not on initial conditions. First we consider the method for polynomial recursions of arbitrary degree and then the method is generalized to analytical recursions. Some properties of these matrices, such as the existence of an inverse matrix and diagonalization, are also studied. 1998 Academic Press.

authors

• Berkolaiko, Gregory

published proceedings

• JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

altmetric score

• 5.5

author list (cited authors)

• Berkolaiko, G., Rabinovich, S., & Havlin, S.

citation count

• 3

complete list of authors

• Berkolaiko, G||Rabinovich, S||Havlin, S

publication date

• August 1998

publisher

• Elsevier  Publisher

published in

• Journal of Mathematical Analysis and Applications  Journal

Digital Object Identifier (DOI)

• 10.1006/jmaa.1998.5986

start page

• 81

end page

• 90

volume

• 224

issue

• 1

URL

• http://dx.doi.org/10.1006/jmaa.1998.5986