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On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue

โœ Scribed by Kh. D. Ikramov; A. M. Nazari

Book ID
106434264
Publisher
Springer US
Year
2006
Tongue
English
Weight
280 KB
Volume
137
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES

The distance from a matrix polynomial to
The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue
โœ Nikolaos Papathanasiou; Panayiotis Psarrakos ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 803 KB

For a matrix polynomial P (ฮป) and a given complex number ฮผ, we introduce a (spectral norm) distance from P (ฮป) to the matrix polynomials that have ฮผ as an eigenvalue of geometric multiplicity at least ฮบ, and a distance from P (ฮป) to the matrix polynomials that have ฮผ as a multiple eigenvalue. Then w