You might be able to find more information on my Google Scholar profile.
This section contains preprints that are currently submitted to a peer-reviewed journal and/or theses and other papers that are not published. Some notes that have not (yet?) submitted to journals can be on this list. Most of the following items are expected to migrate to the next section at some point in time.
- Fast solvers for 2D fractional diffusion equations using rank structured matrices
Mazza, M., Massei, S., Robol L., arXiv preprint arXiv:1804.05522, 2018.
- Computing performability measures in Markov chains by means of matrix functions
Masetti, G., Robol L., arXiv preprint arXiv:1803.06322, 2018.
- Finite element model updating for structural applications
Girardi M., Padovani C., Pellegrini D., Porcelli M., Robol L., arXiv preprint arXiv:1801.09122, 2018.
- Low-rank updates and a divide-and-conquer method for linear matrix equations
Kressner, D., Massei, S., and Robol, L., arXiv preprint arXiv:1712.04349, 2017.
- Solving rank structured Sylvester and Lyapunov equations
Massei, S., Palitta, D., and Robol, L., arXiv preprint arXiv:1711.05493, 2017.
- Nonsingular systems of generalized Sylvester equations: an algorithmic approach
De Terán, F., Iannazzo, B., Poloni, F., and Robol, L., arXiv preprint arXiv:1709.03783, 2017.
- Roots of Polynomials: on twisted QR methods for companion matrices and pencils
Aurentz, J. L., Mach, T., Robol, L., Vandebril, R., Watkins, D. S., arXiv preprint arXiv:1611.02435, 2016.
- Core-Chasing Algorithms for the Eigenvalue problem
Aurentz, J, L., Mach, T., Robol, L., Vandebril, R., Watkins, D. S, SIAM, Fundamentals of Algorithms series, July 2018.
The following papers, listed in reverse chronological order, are published (or accepted for publication) in a journal.
- Factoring block Fiedler Companion Matrices
Del Corso, G. M., Poloni, F., Robol, L., Vandebril, R., to appear in a volume of the Springer INdAM series, 2018.
- Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox
Bini, D. A., Massei, S., and Robol, L., to appear in Numerical Algorithms, 2018 – DOI: 10.1007/s11075-018-0571-6
- Fast and backward stable computation of the eigenvalues of matrix polynomials
Aurentz, J. L., Mach, T., Robol, L., Vandebril, R., Watkins, D. S., to appear in Mathematics of Computation, 2018 – DOI: 10.1090/mcom/3338
- On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes
Bini, D. A., Massei, S., Meini, B., Robol, L., Numerical Linear Algebra with Applications, 2018 – DOI: 10.1002/nla.2128
- Solvability and uniqueness criteria for generalized Sylvester-type equations
De Terán, F., Iannazzo, B., Poloni, F., and Robol, L., Linear Algebra and its Applications, 2018 – DOI: 10.1016/j.laa.2017.07.010
- Efficient Ehrlich–Aberth iteration for finding intersections of interpolating polynomials and rational functions
Robol, L., and Vandebril, R., Linear Algebra and its Applications, 2018 – DOI: 10.1016/j.laa.2017.05.010
- Fast Hessenberg reduction of some rank structured matrices
Gemignani, L., Robol, L., SIAM Journal on Matrix Analysis and Applications, 2017 – DOI: 10.1137/16M1107851
- On the decay of the off-diagonal singular values in cyclic reduction
Bini, D. A., Massei, S. and Robol, L., Linear Algebra and its Applications, 2017 – DOI: 10.1016/j.laa.2016.12.027
- Decay bounds for the numerical quasiseparable preservation in matrix functions
Massei, S. and Robol, L., Linear Algebra and its Applications, 2017 – DOI: 10.1016/j.laa.2016.11.041
- A framework for structured linearizations of matrix polynomials in various bases
Robol, L., Vandebril, R. and Van Dooren, P., SIAM Journal on Matrix Analysis and Applications, 2017 – DOI: 10.1137/16M106296X
- Efficient cyclic reduction for Quasi-Birth-Death problems with rank structured blocks
Bini, D. A. and Massei, S. and Robol, L., Applied Numerical Mathematics, 2017 – DOI: 10.1016/j.apnum.2016.06.014.
- On a class of matrix pencils and ℓ-ifications equivalent to a given matrix polynomial,
Bini, D. A. and Robol, L., Linear Algebra and Its Applications, 2016 – DOI: 10.1016/j.laa.2015.07.017.
- Quasiseparable Hessenberg reduction of real diagonal plus low rank matrices and applications,
Bini, D. A. and Robol, L., Linear Algebra and Its Applications, 2016 – DOI: 10.1016/j.laa.2015.08.026.
- Solving secular and polynomial equations: A multiprecision algorithm,
Bini, D. A. and Robol, L., Journal of Computational and Applied Mathematics, 2014 – DOI: 10.1016/j.cam.2013.04.037.
My PhD and master theses.
- Exploiting rank structures for the numerical treatment of matrix polynomials,
Robol, L. My PhD thesis that I defended in November 2015, under the supervision of prof. Dario A. Bini, 2015.
- A rootfinding algorithm for polynomials and secular equations,
Robol, L. – My master thesis on polynomial rootfinding at arbitrary precision, 2012.