Nonlocal perturbation analysis of the Schur system of a matrix. (English) Zbl 0798.15010

The sensitivity of the Schur system (the Schur basis and the Schur form) of a general matrix relative to perturbations is studied. The estimates obtained are nonlocal and sharp. Asymptotic bounds (condition numbers particularly) in the form of power series are derived as a particular case.


15A21 Canonical forms, reductions, classification
15A12 Conditioning of matrices
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