Fast and backward stable computation of roots of polynomials JL Aurentz, T Mach, R Vandebril, DS Watkins SIAM Journal on Matrix Analysis and Applications 36 (3), 942-973, 2015 | 67 | 2015 |
Chopping a Chebyshev series JL Aurentz, LN Trefethen ACM Transactions on Mathematical Software (TOMS) 43 (4), 1-21, 2017 | 54 | 2017 |
Block operators and spectral discretizations JL Aurentz, LN Trefethen SIAM review 59 (2), 423-446, 2017 | 44 | 2017 |
Core-chasing algorithms for the eigenvalue problem JL Aurentz, T Mach, L Robol, R Vandebril, DS Watkins Society for Industrial and Applied Mathematics, 2018 | 37 | 2018 |
Fast computation of the zeros of a polynomial via factorization of the companion matrix JL Aurentz, R Vandebril, DS Watkins SIAM Journal on Scientific Computing 35 (1), A255-A269, 2013 | 35 | 2013 |
Fast and backward stable computation of roots of polynomials, Part II: Backward error analysis; companion matrix and companion pencil JL Aurentz, T Mach, L Robol, R Vandebril, DS Watkins SIAM Journal on Matrix Analysis and Applications 39 (3), 1245-1269, 2018 | 23 | 2018 |
Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials J Aurentz, T Mach, L Robol, R Vandebril, D Watkins Mathematics of Computation 88 (315), 313-347, 2019 | 20 | 2019 |
Cucheb: A GPU implementation of the filtered Lanczos procedure JL Aurentz, V Kalantzis, Y Saad Computer Physics Communications 220, 332-340, 2017 | 17 | 2017 |
Fast computation of eigenvalues of companion, comrade, and related matrices JL Aurentz, R Vandebril, DS Watkins BIT Numerical Mathematics 54 (1), 7-30, 2014 | 15 | 2014 |
Fast and stable unitary QR algorithm JL Aurentz, T Mach, R Vandebril, DS Watkins Electron. Trans. Numer. Anal 44, 327-341, 2015 | 14 | 2015 |
Stable computation of generalized matrix functions via polynomial interpolation JL Aurentz, AP Austin, M Benzi, V Kalantzis SIAM Journal on Matrix Analysis and Applications 40 (1), 210-234, 2019 | 13 | 2019 |
On symmetrizing the ultraspherical spectral method for self-adjoint problems JL Aurentz, RM Slevinsky Journal of Computational Physics 410, 109383, 2020 | 12 | 2020 |
A note on companion pencils JL Aurentz, T Mach, R Vandebril, DS Watkins Contemporary Mathematics 658, 91-101, 2016 | 5 | 2016 |
Computing the eigenvalues of symmetric tridiagonal matrices via a Cayley transformation JL Aurentz, T Mach, R Vandebril, DS Watkins Electronic Transactions on Numerical Analysis 46, 447-459, 2017 | 4 | 2017 |
GPU accelerated polynomial spectral transformation methods JL Aurentz Washington State University, 2014 | 4 | 2014 |
Roots of polynomials: on twisted QR methods for companion matrices and pencils JL Aurentz, T Mach, L Robol, R Vandebril, DS Watkins arXiv preprint arXiv:1611.02435, 2016 | 3 | 2016 |
A GPU implementation of the filtered Lanczos procedure JL AURENTZ, V KALANTZIS, Y SAAD Tech. Report ys-2015-4, Dept. Computer Science and Engineering, University …, 2015 | 3 | 2015 |
Learning the rules of the game: An interpretable ai for learning how to play JL Aurentz, AM Navarro, DR Insua IEEE Transactions on Games 14 (2), 253-261, 2021 | 2 | 2021 |
Fast and backward stable computation of roots of polynomials, part IIA: General backward error analysis JL Aurentz, T Mach, L Robol, R Vandebril, DS Watkins TW Reports, 2017 | 2 | 2017 |
Fast algorithms for spectral differentiation matrices JL Aurentz Electronic Transactions on Numerical Analysis 44, 281-288, 2015 | 2 | 2015 |