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A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues

โœ Scribed by Alexander N. Malyshev

Book ID
105879721
Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
215 KB
Volume
83
Category
Article
ISSN
0029-599X

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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