Displaying similar documents to “Bounds for the inverses of diagonally dominant pentadiagonal matrices.”

New bounds for the minimum eigenvalue of the Fan product of two M -matrices

Guanghui Cheng (2014)

Czechoslovak Mathematical Journal

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In this paper, we mainly use the properties of the minimum eigenvalue of the Fan product of M -matrices and Cauchy-Schwarz inequality, and propose some new bounds for the minimum eigenvalue of the Fan product of two M -matrices. These results involve the maximum absolute value of off-diagonal entries of each row. Hence, the lower bounds for the minimum eigenvalue are easily calculated in the practical examples. In theory, a comparison is given in this paper. Finally, to illustrate our...

Characterization of α1 and α2-matrices

Rafael Bru, Ljiljana Cvetković, Vladimir Kostić, Francisco Pedroche (2010)

Open Mathematics

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This paper deals with some properties of α1-matrices and α2-matrices which are subclasses of nonsingular H-matrices. In particular, new characterizations of these two subclasses are given, and then used for proving algebraic properties related to subdirect sums and Hadamard products.