×

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.

MSC:

15A21 Canonical forms, reductions, classification
15A12 Conditioning of matrices
PDFBibTeX XMLCite
Full Text: DOI