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On the Square Root of an H-matrix with Positive Diagonal Elements

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Abstract

This paper proves that for an H-matrix with positive diagonal elements there exists one and only one square root which is also an H-matrix with positive diagonal elements. An algorithm approaching the square root is proposed.

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Lin, L., Liu, ZY. On the Square Root of an H-matrix with Positive Diagonal Elements. Annals of Operations Research 103, 339–350 (2001). https://doi.org/10.1023/A:1012931928589

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