Title
On multivariable proper rational interpolation using coprime factors.
Abstract
We analyse and construct the matrix-valued proper rational solutions of the tangential interpolation problem. We show how the coprime polynomial factorization of the solutions is tightly connected to the controllability indices of a pair \(({\mathscr {A}},[U,V])\) associated with the interpolation data and that coprimeness of these factorizations is guaranteed by a simple condition on the eigenvectors of \({\mathscr {A}}\).
Year
DOI
Venue
2018
10.1007/s00498-018-0215-3
MCSS
Keywords
Field
DocType
Interpolation,Rational functions,Coprime polynomials,15A18,15A24,26C15,41A20,93B05
Mathematical optimization,Multivariable calculus,Controllability,Interpolation,Pure mathematics,Rational function,Coprime integers,Factorization of polynomials,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
30
3
0932-4194
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
György Michaletzky1234.17
Andrea Gombani288.11