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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 6, Pages 1248–1254 (Mi smj2045)  
This article is cited in 20 scientific papers (total in 20 papers)

Norm estimates for the inverses of matrices of monotone type and totally positive matrices

Yu. S. Volkov, V. L. Miroshnichenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (284 kB) Citations (20)
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Abstract: We give estimates of the infinity norm of the inverses of matrices of monotone type and totally positive matrices.
Keywords: matrix of monotone type, $M$-matrix, totally positive matrix, diagonal dominance, inverse matrix, norm of a matrix.
Received: 01.12.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 6, Pages 982–987
DOI: https://doi.org/10.1007/s11202-009-0108-2
Bibliographic databases:
UDC: 512.64
Language: Russian
Citation: Yu. S. Volkov, V. L. Miroshnichenko, “Norm estimates for the inverses of matrices of monotone type and totally positive matrices”, Sibirsk. Mat. Zh., 50:6 (2009), 1248–1254; Siberian Math. J., 50:6 (2009), 982–987
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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