An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line

DOI10.1007/s00009-016-0789-2zbMath1352.42036OpenAlexW2508886111MaRDI QIDQ347000

Francisco Marcellán, Luis E. Garza, Juan Carlos García-Ardila

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0789-2

zbMATH Keywords

matrix orthogonal polynomialsquasi-determinantsblock Cholesky decompositionblock Jacobi matricesblock LU decompositionmatrix Geronimus transformation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

On the Szegő transformation for some spectral perturbations of matrix measures ⋮ CMV block matrices for symmetric matrix measures on the unit circle ⋮ A canonical Geronimus transformation for matrix orthogonal polynomials ⋮ On a Christoffel transformation for matrix measures supported on the unit circle

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