Staff profile

• Computer arithmetic
• Numerical analysis
• Scientific computing

Chapter in book

• Aupy, G., Benoit, A., Cavelan, A., Fasi, M., Robert, Y., Sun, H., & Uçar, B. (2017). Coping with Silent Errors in HPC Applications. In A. Adamatzky (Ed.), Emergent Computation. Springer Verlag. https://doi.org/10.1007/978-3-319-46376-6

Journal Article

• Fasi, M., Higham, N. J., & Liu, X. (in press). Computing the square root of a low-rank perturbation of the scaled identity matrix. SIAM Journal on Matrix Analysis and Applications,
• Fasi, M., & Mikaitis, M. (2023). CPFloat: A C library for simulating low-precision arithmetic. ACM Transactions on Mathematical Software, 49(2), 1-32. https://doi.org/10.1145/3585515
• Jarlebring, E., Fasi, M., & Ringh, E. (2023). Computational graphs for matrix functions. ACM Transactions on Mathematical Software, 48(4), 1-35. https://doi.org/10.1145/3568991
• Fasi, M., Higham, N. J., Lopez, F., Mary, T., & Mikaitis, M. (2023). Matrix Multiplication in Multiword Arithmetic: Error Analysis and Application to GPU Tensor Cores. SIAM Journal on Scientific Computing, 45(1), https://doi.org/10.1137/21M1465032
• Dmytryshyn, A., Fasi, M., & Gulliksson, M. (2022). The Dynamical Functional Particle Method for Multi-Term Linear Matrix Equations. Applied Mathematics and Computation, 435, Article 127458. https://doi.org/10.1016/j.amc.2022.127458
• Croci, M., Fasi, M., Higham, N. J., Mary, T., & Mikaitis, M. (2022). Stochastic rounding: implementation, error analysis and applications. Royal Society Open Science, 9(3), Article 211631. https://doi.org/10.1098/rsos.211631
• Fasi, M., & Iannazzo, B. (2021). The Dual Inverse Scaling and Squaring Algorithm for the Matrix Logarithm. https://doi.org/10.1093/imanum/drab065
• Fasi, M., & Robol, L. (2021). Sampling the Eigenvalues of Random Orthogonal and Unitary Matrices. Linear Algebra and its Applications, 620, https://doi.org/10.1016/j.laa.2021.02.031
• Fasi, M., & Mikaitis, M. (2021). Algorithms for Stochastically Rounded Elementary Arithmetic Operations in IEEE 754 Floating-Point Arithmetic. https://doi.org/10.1109/tetc.2021.3069165
• Fasi, M., Higham, N. J., Mikaitis, M., & Pranesh, S. (2021). Numerical Behavior of NVIDIA Tensor Cores. https://doi.org/10.7717/peerj-cs.330
• Fasi, M., Feng, J., & Negri Porzio, G. M. (2021). Corrigendum to "Determinants of Normalized Bohemian Upper Hessenberg Matrices" [Electron. J. of Linear Algebra 36 (2020) 352–366]. https://doi.org/10.13001/ela.2021.5849
• Fasi, M., & Higham, N. J. (2021). Generating Extreme-Scale Matrices with Specified Singular Values or Condition Numbers. SIAM Journal on Scientific Computing, 43(1), A663-A684. https://doi.org/10.1137/20m1327938
• Fasi, M., & Higham, N. J. (2021). Matrices with Tunable Infinity-Norm Condition Number and No Need for Pivoting in LU Factorization. SIAM Journal on Matrix Analysis and Applications, 42(1), 417-435. https://doi.org/10.1137/20m1357238
• Fasi, M., & Iannazzo, B. (2020). Substitution Algorithms for Rational Matrix Equations. https://doi.org/10.1553/etna_vol53s500
• Fasi, M., & Negri Porzio, G. M. (2020). Determinants of Normalized Bohemian Upper Hessenberg Matrices. https://doi.org/10.13001/ela.2020.5053
• Fasi, M., & Higham, N. J. (2019). An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential. SIAM Journal on Matrix Analysis and Applications, 40(4), https://doi.org/10.1137/18m1228876
• Fasi, M., & Iannazzo, B. (2019). Computing Primary Solutions of Equations Involving Primary Matrix Functions. Linear Algebra and its Applications, 560, 17-42. https://doi.org/10.1016/j.laa.2018.09.010
• Fasi, M. (2019). Optimality of the Paterson-Stockmeyer Method for Evaluating Matrix Polynomials and Rational Matrix Functions. Linear Algebra and its Applications, 574, https://doi.org/10.1016/j.laa.2019.04.001
• Fasi, M., & Iannazzo, B. (2018). Computing the Weighted Geometric Mean of Two Large-Scale Matrices and Its Inverse Times a Vector. SIAM Journal on Matrix Analysis and Applications, 39(1), https://doi.org/10.1137/16m1073315
• Fasi, M., & Higham, N. J. (2018). Multiprecision Algorithms for Computing the Matrix Logarithm. SIAM Journal on Matrix Analysis and Applications, 39(1), https://doi.org/10.1137/17m1129866
• Fasi, M., Langou, J., Robert, Y., & Uçar, B. (2016). A Backward/Forward Recovery Approach for the Preconditioned Conjugate Gradient Method. https://doi.org/10.1016/j.jocs.2016.04.008
• Fasi, M., Robert, Y., & Uçar, B. (2015). Combining Backward and Forward Recovery to Cope with Silent Errors in Iterative Solvers. https://doi.org/10.1109/ipdpsw.2015.22
• Fasi, M., Higham, N. J., & Iannazzo, B. (2015). An Algorithm for the Matrix Lambert $W$ Function. SIAM Journal on Matrix Analysis and Applications, 36(2), 669-685. https://doi.org/10.1137/140997610
• Riahi, H., Donvito, G., Fanó, L., Fasi, M., Marzulli, G., Spiga, D., & Valentini, A. (2012). Using Hadoop File System and MapReduce in a Small/Medium Grid Site. https://doi.org/10.1088/1742-6596/396/4/042050