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Generalization of R...
Generalization of Roth's solvability criteria to systems of matrix equations
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- Dmytryshyn, Andrii, 1986- (författare)
- Umeå universitet,Institutionen för datavetenskap
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- Futorny, Vyacheslav (författare)
- Department of Mathematics, University of São Paulo, São Paulo, Brazil
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- Klymchuk, Tetiana (författare)
- Universitat Politècnica de Catalunya, Barcelona, Spain; Taras Shevchenko National University, Kiev, Ukraine
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- Sergeichuk, Vladimir V. (författare)
- Institute of Mathematics, Kiev, Ukraine
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(creator_code:org_t)
- Elsevier, 2017
- 2017
- Engelska.
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Ingår i: Linear Algebra and its Applications. - : Elsevier. - 0024-3795 .- 1873-1856. ; 527, s. 294-302
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- W.E. Roth (1952) proved that the matrix equation AX - XB = C has a solution if and only if the matrices [Graphics] and [Graphics] are similar. A. Dmytryshyn and B. Kagstrom (2015) extended Roth's criterion to systems of matrix equations A(i)X(i')M(i) - (NiXi"Bi)-B-sigma i = Ci (i = 1,..., s) with unknown matrices X1,, X-t, in which every X-sigma is X, X-T, or X*. We extend their criterion to systems of complex matrix equations that include the complex conjugation of unknown matrices. We also prove an analogous criterion for systems of quaternion matrix equations. (C) 2017 Elsevier Inc. All rights reserved.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Systems of matrix equations
- Sylvester equations
- Roth's criteria
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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