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Graphs with absorption: Numerical methods for the absorption inverse and the computation of centrality measures

https://doi.org/10.1016/j.laa.2019.03.026

Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena (August 2019, Linear Algebra and its Applications)
null (Ed.)
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Some matrix properties preserved by generalized matrix functions

https://doi.org/10.1515/spma-2019-0003

Benzi, Michele; Huang, Ru (January 2019, Special Matrices)
null (Ed.)
Abstract Generalized matrix functions were first introduced in [J. B. Hawkins and A. Ben-Israel, Linear and Multilinear Algebra, 1(2), 1973, pp. 163-171]. Recently, it has been recognized that these matrix functions arise in a number of applications, and various numerical methods have been proposed for their computation. The exploitation of structural properties, when present, can lead to more efficient and accurate algorithms. The main goal of this paper is to identify structural properties of matrices which are preserved by generalized matrix functions. In cases where a given property is not preserved in general, we provide conditions on the underlying scalar function under which the property of interest will be preserved by the corresponding generalized matrix function.
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Stable Computation of Generalized Matrix Functions via Polynomial Interpolation

https://doi.org/10.1137/18M1191786

Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis (January 2019, SIAM Journal on Matrix Analysis and Applications)
null (Ed.)
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