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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 284, Pages 64–76 (Mi znsl1538)  
This article is cited in 3 scientific papers (total in 3 papers)

A class of optimally conditioned block $2\times2$ matrices

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (183 kB) Citations (3)
Abstract: A block $2\times2$ Hermitian positive-definite (h.p.d.) matrix is called equilibrated if its diagonal blocks coincide with the corresponding blocks of its inverse. It is demonstrated that any block $2\times2$ h.p.d. matrix is block diagonally similar to an equilibrated matrix, and any equilibrated matrix is optimally conditioned. Other properties of equilibrated matrices are also established.
Received: 16.12.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 4, Pages 2474–2480
DOI: https://doi.org/10.1023/B:JOTH.0000026285.08558.74
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “A class of optimally conditioned block $2\times2$ matrices”, Computational methods and algorithms. Part XV, Zap. Nauchn. Sem. POMI, 284, POMI, St. Petersburg, 2002, 64–76; J. Math. Sci. (N. Y.), 121:4 (2004), 2474–2480
Citation in format AMSBIB
\Bibitem{Kol02}
\by L.~Yu.~Kolotilina
\paper A class of optimally conditioned block $2\times2$ matrices
\inbook Computational methods and algorithms. Part~XV
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 284
\pages 64--76
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1915076}
\zmath{https://zbmath.org/?q=an:1071.15006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 4
\pages 2474--2480
\crossref{https://doi.org/10.1023/B:JOTH.0000026285.08558.74}
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  • https://www.mathnet.ru/eng/znsl/v284/p64
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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