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Browsing Articles by Author "Aurentz, Jared L."

Browsing Articles by Author "Aurentz, Jared L."

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  • Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. (SIAM Journal on Matrix Analysis and Applications, 2015)
    A stable algorithm to compute the roots of polynomials is presented. The roots are found by computing the eigenvalues of the associated companion matrix by Francis's implicitly shifted QR algorithm. A companion matrix is ...
  • Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. (Electronic Transactions on Numerical Analysis, 2015)
    A fast Fortran implementation of a variant of Gragg's unitary Hessenberg QR algorithm is presented. It is proved, moreover, that all QR- And QZ-like algorithms for the unitary eigenvalue problems are equivalent. The algorithm ...
  • Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S. (arXiv, 2016-11-08)
    Two generalizations of the companion QR algorithm by J.L. Aurentz, T. Mach, R. Vandebril, and D.S. Watkins, SIAM Journal on Matrix Analysis and Applications, 36(3): 942--973, 2015, to compute the roots of a polynomial are ...

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