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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 5, Pages 775–783 (Mi zvmmf9707)  
This article is cited in 6 scientific papers (total in 6 papers)

Conditions for unique solvability of the matrix equation $AX+X^\ast B=C$

Yu. O. Vorontsov, Kh. D. Ikramov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (187 kB) Citations (6)
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Abstract: Conditions for the unique solvability of the matrix equation $AX+X^\ast B=C$ are formulated in terms of the eigenvalues and the Kronecker structure of the matrix pencil $A+\lambda B^\ast$ associated with this equation.
Key words: Sylvester matrix equations, equivalence transformations, regular pencil, Weierstrass canonical form, singular pencil, Kronecker canonical form.
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 5, Pages 665–673
DOI: https://doi.org/10.1134/S0965542512050156
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: Yu. O. Vorontsov, Kh. D. Ikramov, “Conditions for unique solvability of the matrix equation $AX+X^\ast B=C$”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 775–783; Comput. Math. Math. Phys., 52:5 (2012), 665–673
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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