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math.NA2026
Updating and Downdating the Recurrences of Discrete Multiple Orthogonal Polynomials on the Real Line
Amin Faghih, Marc Van Barel, Raf Vandebril
We study multiple orthogonal polynomials with orthogonality defined by multiple positive discrete measures on the real line. Focusing on type~I and type~II multiple orthogonal poly…
math.NA2026
Fast computation of eigenvalues of periodic CMV matrices
Thomas Mach, Michele Rinelli, Raf Vandebril +1
Periodic CMV matrices are unitary matrices that can be specified by data. Their eigenvalues can be computed by standard methods, storing them as conventional matrices (using…
math.NA2026
Block Krylov subspaces and orthogonal matrix polynomials: a structural correspondence with applications to unitary matrices
Michele Rinelli, Raf Vandebril
We study the connection between block Krylov subspaces and matrix orthogonal functions. Under a no-deflation assumption, we show that polynomial block Krylov subspaces are isometri…