David S. Watkins

Publication Activity (10 Years)

Years Active: 1983-2019
Publications (10 Years): 12

Top Topics

Factorization Method

Positive Definite

Forward Backward

Top Venues

SIAM J. Matrix Anal. Appl.

Publications

Thomas Mach, Raf Vandebril, David S. Watkins
Pole-swapping algorithms for alternating and palindromic eigenvalue problems. CoRR (2019)
Jared Lee Aurentz, Thomas Mach, Leonardo Robol, Raf Vandebril, David S. Watkins
Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials. Math. Comput. 88 (315) (2019)
Daan Camps, Thomas Mach, Raf Vandebril, David S. Watkins
On pole-swapping algorithms for the eigenvalue problem. CoRR (2019)
Jared Lee Aurentz, Thomas Mach, Leonardo Robol, Raf Vandebril, David S. Watkins
Fast and Backward Stable Computation of Roots of Polynomials, Part II: Backward Error Analysis; Companion Matrix and Companion Pencil. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
David S. Watkins
Book Reviews. SIAM Rev. 59 (1) (2017)
David S. Watkins
Book Reviews. SIAM Rev. 59 (3) (2017)
David S. Watkins
Book Reviews. SIAM Rev. 59 (2) (2017)
David S. Watkins
Book Reviews. SIAM Rev. 59 (4) (2017)
David S. Watkins
Book Reviews. SIAM Rev. 58 (1) (2016)
David S. Watkins
Book Reviews. SIAM Rev. 58 (3) (2016)
David S. Watkins
Book Reviews. SIAM Rev. 58 (2) (2016)
David S. Watkins
Book Reviews. SIAM Rev. 58 (4) (2016)
David S. Watkins
Book Reviews. SIAM Rev. 57 (3) (2015)
David S. Watkins
Book Reviews. SIAM Rev. 57 (1) (2015)
David S. Watkins
Book Reviews. SIAM Rev. 57 (4) (2015)
Jared Lee Aurentz, Thomas Mach, Raf Vandebril, David S. Watkins
Fast and Backward Stable Computation of Roots of Polynomials. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
David S. Watkins
Book Reviews. SIAM Rev. 57 (2) (2015)
Jared Lee Aurentz, Raf Vandebril, David S. Watkins
Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix. SIAM J. Sci. Comput. 35 (1) (2013)
Raf Vandebril, David S. Watkins
A Generalization of the Multishift QR Algorithm. SIAM J. Matrix Anal. Appl. 33 (3) (2012)
David S. Watkins
Francis's Algorithm. Am. Math. Mon. 118 (5) (2011)
Daniel Kressner, Christian Schröder, David S. Watkins
Implicit QR algorithms for palindromic and even eigenvalue problems. Numer. Algorithms 51 (2) (2009)
David S. Watkins
Algorithm Revisited. SIAM Rev. 50 (1) (2008)
Roden J. A. David, David S. Watkins
Efficient Implementation of the Multishift QR Algorithm for the Unitary Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 28 (3) (2006)
David S. Watkins
Product Eigenvalue Problems. SIAM Rev. 47 (1) (2005)
Greg Henry, David S. Watkins, Jack J. Dongarra
A Parallel Implementation of the Nonsymmetric QR Algorithm for Distributed Memory Architectures. SIAM J. Sci. Comput. 24 (1) (2002)
David S. Watkins
Algorithm in the Presence of Infinite Eigenvalues. SIAM J. Matrix Anal. Appl. 22 (2) (2000)
George Al Geist II, Gary W. Howell, David S. Watkins
The BR Eigenvalue Algorithm. SIAM J. Matrix Anal. Appl. 20 (4) (1999)
P. R. Thomas, David S. Watkins
Institutional research rankings via bibliometric analysis and direct peer review: A comparative case study with policy implications. Scientometrics 41 (3) (1998)
David S. Watkins
Bulge Exchanges in Algorithms of QR Type. SIAM J. Matrix Anal. Appl. 19 (4) (1998)
Jack J. Dongarra, Greg Henry, David S. Watkins
A Distributed Memory Implementation of the Nonsymmetric QR Algorithm. PPSC (1997)
David S. Watkins
Forward Stability and Transmission of Shifts in the QR Algorithm. SIAM J. Matrix Anal. Appl. 16 (2) (1995)
David S. Watkins, Ludwig Elsner
Theory of Decomposition and Bulge-Chasing Algorithms for the Generalized Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 15 (3) (1994)
David S. Watkins
Shifting Strategies for the Parallel QR Algorithm. SIAM J. Sci. Comput. 15 (4) (1994)
David S. Watkins
Bidirectional Chasing Algorithms for the Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 14 (1) (1993)
David S. Watkins
Some Perspectives on the Eigenvalue Problem. SIAM Rev. 35 (3) (1993)
J. B. Haag, David S. Watkins
QR-like algorithms for the nonsymmetric eigenvalue problem. ACM Trans. Math. Softw. 19 (3) (1993)
David S. Watkins, Ralph W. HansonSmith
The Numerical Solution of Separably Stiff Systems by Precise Partitioning. ACM Trans. Math. Softw. 9 (3) (1983)