Abstract | ||
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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 |
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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 Michaletzky | 1 | 23 | 4.17 |
Andrea Gombani | 2 | 8 | 8.11 |