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Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils

✍ Scribed by M. Isabel Garcı́a-Planas; Vladimir V. Sergeichuk

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
197 KB
Volume
302-303
Category
Article
ISSN
0024-3795

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✦ Synopsis

For a family of linear operators e k X 3 over C that smoothly depend on parameters k k 1 Y F F F Y k k , V.I. Arnold obtained the simplest normal form of their matrices relative to a smoothly depending on k change of a basis in . We solve the same problem for a family of linear operators e k X 3 over R, for a family of pairs of linear mappings e k X 3 Y f k X 3 over C and R, and for a family of pairs of counter linear mappings e k X 3 Y f k X 3 over C and R.

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