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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…