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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2009 Volume 50, Number 6, Pages 1248–1254 (Mi smj2045)

This article is cited in 18 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

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.

UDC: 512.64

Received: 01.12.2008


 English version:
Siberian Mathematical Journal, 2009, 50:6, 982–987

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© Steklov Math. Inst. of RAS, 2024