Staff profile

• Numerical analysis
• Scientific computing
• Computer arithmetic

Chapter in book

• Aupy, Guillaume, Benoit, Anne, Cavelan, Aurélien, Fasi, Massimiliano, Robert, Yves, Sun, Hongyang & Uçar, Bora (2017). Coping with Silent Errors in HPC Applications. In Emergent Computation. Adamatzky, Andy Springer Verlag.

Journal Article

• Fasi, Massimiliano, Higham, Nicholas J., Lopez, Florent, Mary, Theo & Mikaitis, Mantas (Accepted). Matrix Multiplication in Multiword Arithmetic: Error Analysis and Application to GPU Tensor Cores. SIAM Journal on Scientific Computing
• Fasi, Massimiliano, Higham, Nicholas J. & Liu, Xiaobo (Accepted). Computing the square root of a low-rank perturbation of the scaled identity matrix. SIAM Journal on Matrix Analysis and Applications
• Fasi, Massimiliano & Mikaitis, Mantas (2023). CPFloat: A C library for simulating low-precision arithmetic. ACM Transactions on Mathematical Software
• Dmytryshyn, Andrii, Fasi, Massimiliano & Gulliksson, Mårten (2022). The Dynamical Functional Particle Method for Multi-Term Linear Matrix Equations. Applied Mathematics and Computation 435: 127458.
• Croci, Matteo, Fasi, Massimiliano, Higham, Nicholas J., Mary, Theo & Mikaitis, Mantas (2022). Stochastic rounding: implementation, error analysis and applications. Royal Society Open Science 9(3): 211631.
• Jarlebring, Elias, Fasi, Massimiliano & Ringh, Emil (2022). Computational graphs for matrix functions. ACM Transactions on Mathematical Software
• Fasi, Massimiliano & Higham, Nicholas J. (2021). Matrices with Tunable Infinity-Norm Condition Number and No Need for Pivoting in LU Factorization. SIAM J. Matrix Anal. Appl 42(1): 417-435.
• Fasi, Massimiliano & Mikaitis, Mantas (2021). Algorithms for Stochastically Rounded Elementary Arithmetic Operations in IEEE 754 Floating-Point Arithmetic. IEEE Trans. Emerg. Topics Comput 9(3): 1451–1466.
• Fasi, Massimiliano, Feng, Jishe & Negri Porzio, Gian Maria (2021). Corrigendum to "Determinants of Normalized Bohemian Upper Hessenberg Matrices" [Electron. J. of Linear Algebra 36 (2020) 352–366]. Electron. J. Linear Algebra 37: 160-162.
• Fasi, Massimiliano & Higham, Nicholas J. (2021). Generating Extreme-Scale Matrices with Specified Singular Values or Condition Numbers. SIAM J. Sci. Comput 43(1): A663-A684.
• Fasi, Massimiliano, Higham, Nicholas J., Mikaitis, Mantas & Pranesh, Srikara (2021). Numerical Behavior of NVIDIA Tensor Cores. PeerJ Comput. Sci 7: e330(1-19).
• Fasi, Massimiliano & Robol, Leonardo (2021). Sampling the Eigenvalues of Random Orthogonal and Unitary Matrices. Linear Algebra Appl 620: 297–321.
• Fasi, Massimiliano & Iannazzo, Bruno (2021). The Dual Inverse Scaling and Squaring Algorithm for the Matrix Logarithm. IMA J. Numer. Anal
• Fasi, Massimiliano & Iannazzo, Bruno (2020). Substitution Algorithms for Rational Matrix Equations. Electron. Trans. Numer. Anal 53: 500-521.
• Fasi, Massimiliano & Negri Porzio, Gian Maria (2020). Determinants of Normalized Bohemian Upper Hessenberg Matrices. Electron. J. Linear Algebra 36(36): 352–366.
• Fasi, Massimiliano & Iannazzo, Bruno (2019). Computing Primary Solutions of Equations Involving Primary Matrix Functions. Linear Algebra Appl 560: 17-42.
• Fasi, Massimiliano (2019). Optimality of the Paterson-Stockmeyer Method for Evaluating Matrix Polynomials and Rational Matrix Functions. Linear Algebra Appl 574: 182–200.
• Fasi, Massimiliano & Higham, Nicholas J. (2019). An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential. SIAM J. Matrix Anal. Appl 40(4): 1233–1256.
• Fasi, Massimiliano & Higham, Nicholas J. (2018). Multiprecision Algorithms for Computing the Matrix Logarithm. SIAM J. Matrix Anal. Appl 39(1): 472–491.
• Fasi, Massimiliano & Iannazzo, Bruno (2018). Computing the Weighted Geometric Mean of Two Large-Scale Matrices and Its Inverse Times a Vector. SIAM J. Matrix Anal. Appl 39(1): 178–203.
• Fasi, Massimiliano, Langou, Julien, Robert, Yves & Uçar, Bora (2016). A Backward/Forward Recovery Approach for the Preconditioned Conjugate Gradient Method. J. Comput. Sci 17(3): 522-534.
• Fasi, Massimiliano, Robert, Yves & Uçar, Bora (2015). Combining Backward and Forward Recovery to Cope with Silent Errors in Iterative Solvers. Proceedings of the 29th Parallel and Distributed Processessing Symposium Workshop 980-989.
• Fasi, Massimiliano, Higham, Nicholas J. & Iannazzo, Bruno (2015). An Algorithm for the Matrix Lambert $W$ Function. SIAM J. Matrix Anal. Appl 36(2): 669-685.
• Riahi, Hassen, Donvito, Giacinto, Fanó, Livio, Fasi, Massimiliano, Marzulli, Giovanni, Spiga, Daniele & Valentini, Andrea (2012). Using Hadoop File System and MapReduce in a Small/Medium Grid Site. J. Phys.: Conf. Ser 396(4): 42-50.