Abstract
The present chapter deals with various types of invertibility conditions for finite matrices. In particular, we improve the classical Levy-Desplanques theorem and other well-known invertibility results for matrices that are close to triangular ones.
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© 2003 Springer-Verlag Berlin Heidelberg
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Gil’, M.I. (2003). 3 Invertibility of Finite Matrices. In: Operator Functions and Localization of Spectra. Lecture Notes in Mathematics, vol 1830. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45225-6_3
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DOI: https://doi.org/10.1007/978-3-540-45225-6_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20246-2
Online ISBN: 978-3-540-45225-6
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