Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
IMPACT FACTOR 2016: 0.783
5-year IMPACT FACTOR: 0.792
CiteScore 2016: 0.80
SCImago Journal Rank (SJR) 2016: 0.589
Source Normalized Impact per Paper (SNIP) 2016: 1.125
Mathematical Citation Quotient (MCQ) 2015: 0.43
Operator of extrapolation from a finite set of quasi-polynomial vector-functions and its applications
- Krasnoyarsk State Academy of Architecture and Civil Engineering. Svobodny prosp., 82, Krasnoyarsk, 660041, Russia. E-mail: firstname.lastname@example.org
We consider the inverse problem for a first-order homogeneous system of linear ordinary differential equations (LODE),
where Y(t) is a vector-function with n components and A is an unknown matrix of dimensionality n × n with constant complex coefficients and certain restrictions imposed on its eigenvalues.
The boundary conditions are
Ck := Y(tk ), tk = t 0 + kd, d > 0, k = 0, 1, … , N, N ≥ n.
Here is a given system of vectors in .
This problem is equivalent to the problem of extrapolating a vector-function composed of quasi-polynomials representing solutions of some LODEs with constant coefficients of order n.
The zone of solution stability of the system against small-amplitude input data oscillations is described. The results obtained are used to construct an approximation algorithm for a real vector-function of one variable set at a finite number of nodes of a uniform grid (modified Prony algorithm).