Carmine Di Fiore (born in Rome in 26/1/1967) obtains the Master degree in Mathematics
with 110/110 e lode in May 16, 1990, in the University of Rome "La Sapienza".
Then he is admitted in the same university in the Ph.D. in Mathematics and in 1996,
in Padova, he defends his Ph.D. thesis (supervisor Paolo Zellini).
From March 2000 to September 30, 2004, he is a university researcher in the Dept of
Mathematics of the University of Rome "Tor Vergata". From October 1, 2004, he is associate
professor in the same sector and in the same University, and from October 1, 2007, to today
he is a confirmed associate professor.
From 2010, under an Agreement of didactic-scientific collaboration between
"Tor Vergata" and "Lomonosov" Moscow State universities, he organizes, together with
Eugene E. Tyrtyshnikov - Director of the Institute of Numerical Mathematics of the Russian
Academy of Science (INM-RAS), Moscow -, the joint summer school "Rome-Moscow school of Matrix
Methods and Applied Linear Algebra" (www.mat.uniroma2.it/~tvmsscho),
whose seventh edition is planned for August-September 2020.
He has held numerical mathematics teachings in the Courses of Mathematics, Computer Science,
Sciences and Technologies for Media, and Civil Engineer. He has been supervisor of numerous
bachelor and master theses, and of the Ph.D. theses of Francesco Tudisco and Stefano Cipolla,
now fellow reserchears in Strathclyde (Glasgow) and in Padova Universities.
His research interests include the study of algorithms that use fast discrete
transforms and the associated low complexity matrix algebras L in solving numerically
linear algebra and optimization problems. Such algorithms become extremely efficient
when the problems involve structured matrices.
His scientific articles have dealt mainly on three subjects: displacement formulas
for the decomposition of matrices, preconditioning techniques for solving linear
systems, algorithms for large scale unconstrained minimization.
In more recent studies he has investigated spectral properties of projections of matrices A
in the spaces L (especially when A are non negative or positive definite), in order to make
them more efficient when used in preconditioning and optimization strategies.
He has been visiting professor in the Math Dept of the Chinese University of Hong Kong,
guest of prof. Raymond Chan. He has held talks both in national meetings, such as the
yearly "Giornate di Algebra Lineare Numerica", and in International meetings such as
the Structured Numerical Linear Algebra meetings of Cortona, in Palazzone
della Scuola Normale Superiore. He has been invited speaker in the "2001 AMS-IMS-SIAM
Conference on Fast Algorithms in Mathematics, Computer Science and Engineering",
South Hadley MA, U.S.A., and in Moscow MMMA international meetings (2003, 2005, 2015).
He is invited speaker in the next MMMA 2019 meeting, INM-RAS & SkolTech, Moscow.