Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree

DOI10.1016/0024-3795(90)90145-3zbMath0712.15031OpenAlexW2086488058MaRDI QIDQ923683

Jeongook Kang, Joseph A. Ball

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90145-3

zbMATH Keywords

Euclidean algorithmcontour integral interpolation problemsLagrange-Sylvester interpolation conditionlow McMillan degreematrix polynomial function

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices over function rings in one or more variables (15A54)

Related Items (6)

Polynomial interpolation and Gaussian quadrature for matrix-valued functions ⋮ New interpolation solution and application in system modeling and optimal control with prescribed distance to instability ⋮ Polynomial interpolation over quaternions ⋮ Interpolation by polynomials with symmetries ⋮ Generalized Hermite formula for the two-sided Lagrange-Sylvester interpolation ⋮ Hermite's formula for vector polynomial interpolation with applications to structured matrices

Cites Work

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• Simultaneous residue interpolation problems for rational matrix functions
• An inverse spectral problem for rational matrix functions and minimal divisibility
• Minimal factorization of matrix and operator functions
• Topics in interpolation theory of rational matrix-valued functions
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• Regular rational matrix functions with prescribed null and pole data except at infinity
• Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices

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