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Miniversal deformat...
Miniversal deformations of matrices under *congruence and reducing transformations
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- Dmytryshyn, Andrii, 1986- (author)
- Umeå universitet,Institutionen för datavetenskap,Högpresterande beräkningscentrum norr (HPC2N),Department of Computing Science and HPC2N, Umeå University, Umeå, Sweden
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- Futorny, Vyacheslav (author)
- Department of Mathematics, University of São Paulo, São Paulo, Brazil
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- Sergeichuk, Vladimir (author)
- Institute of Mathematics, Kiev, Ukraine
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(creator_code:org_t)
- Elsevier, 2014
- 2014
- English.
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In: Linear Algebra and its Applications. - : Elsevier. - 0024-3795 .- 1873-1856. ; 446:April, s. 388-420
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Abstract
Subject headings
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- Arnold (1971) [1] constructed a miniversal deformation of a square complex matrix under similarity; that is, a simple normal form to which not only a given square matrix A but all matrices B close to it can be reduced by similarity transformations that smoothly depend on the entries of B. We give miniversal deformations of matrices of sesquilinear forms; that is, of square complex matrices under *congruence, and construct an analytic reducing transformation to a miniversal deformation. Analogous results for matrices under congruence were obtained by Dmytryshyn, Futorny, and Sergeichuk (2012) [11].
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Mathematics
- matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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