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David Watkins - Publications

Affiliations: 
Mathematics Washington State University, Pullman, WA, United States 
Area:
Computational linear algebra, numerical analysis, scientific computing.
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40 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Aurentz JL, Mach T, Robol L, Vandebril R, Watkins DS. Fast and Backward Stable Computation of Roots of Polynomials, Part II: Backward Error Analysis; Companion Matrix and Companion Pencil Siam Journal On Matrix Analysis and Applications. 39: 1245-1269. DOI: 10.1137/17M1152802  0.71
2018 Aurentz J, Mach T, Robol L, Vandebril R, Watkins DS. Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials Mathematics of Computation. 88: 313-347. DOI: 10.1090/Mcom/3338  0.728
2015 Aurentz JL, Mach T, Vandebril R, Watkins DS. Fast and backward stable computation of roots of polynomials Siam Journal On Matrix Analysis and Applications. 36: 942-973. DOI: 10.1137/140983434  0.755
2015 Aurentz JL, Mach T, Vandebril R, Watkins DS. Fast and stable unitary QR algorithm Electronic Transactions On Numerical Analysis. 44: 327-341.  0.718
2014 Aurentz JL, Vandebril R, Watkins DS. Fast computation of eigenvalues of companion, comrade, and related matrices Bit Numerical Mathematics. 54: 7-30. DOI: 10.1007/S10543-013-0449-X  0.744
2013 Aurentz JL, Vandebril R, Watkins DS. Fast computation of the zeros of a polynomial via factorization of the companion matrix Siam Journal On Scientific Computing. 35: A255-A269. DOI: 10.1137/120865392  0.75
2013 Vandebril R, Watkins DS. An extension of the QZ algorithm beyond the Hessenberg-upper triangular pencil Electronic Transactions On Numerical Analysis. 40: 17-35.  0.441
2012 Vandebril R, Watkins DS. A generalization of the multishift QR algorithm Siam Journal On Matrix Analysis and Applications. 33: 759-779. DOI: 10.1137/11085219X  0.349
2011 Watkins DS. Francis's algorithm American Mathematical Monthly. 118: 387-403. DOI: 10.4169/amer.math.monthly.118.05.387  0.44
2011 Salam A, Watkins DS. Structured QR algorithms for hamiltonian symmetric matrices Electronic Journal of Linear Algebra. 22: 573-585.  0.374
2009 Kressner D, Schröder C, Watkins DS. Implicit QR algorithms for palindromic and even eigenvalue problems Numerical Algorithms. 51: 209-238. DOI: 10.1007/s11075-008-9226-3  0.388
2008 Watkins DS. The QR algorithm revisited Siam Review. 50: 133-145. DOI: 10.1137/060659454  0.377
2008 David RJA, Watkins DS. An inexact Krylov-Schur algorithm for the unitary eigenvalue problem Linear Algebra and Its Applications. 429: 1213-1228. DOI: 10.1016/j.laa.2007.09.034  0.327
2006 David RJA, Watkins DS. Efficient implementation of the multishift QR algorithm for the unitary eigenvalue problem Siam Journal On Matrix Analysis and Applications. 28: 623-633. DOI: 10.1137/050630787  0.443
2006 Watkins DS. On the reduction of a Hamiltonian matrix to Hamiltonian Schur form Electronic Transactions On Numerical Analysis. 23: 141-157.  0.359
2006 Watkins DS. A case where balancing is harmful Electronic Transactions On Numerical Analysis. 23: 1-4.  0.359
2004 Watkins DS. On Hamiltonian and symplectic Lanczos processes Linear Algebra and Its Applications. 385: 23-45. DOI: 10.1016/j.laa.2002.11.001  0.341
2003 Henry G, Watkins D, Dongarra J. A parallel implementation of the nonsymmetric QR algorithm for distributed memory architectures Siam Journal On Scientific Computing. 24: 284-311. DOI: 10.1137/S1064827597325165  0.466
2002 Apel T, Mehrmann V, Watkins D. Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures Computer Methods in Applied Mechanics and Engineering. 191: 4459-4473. DOI: 10.1016/S0045-7825(02)00390-0  0.36
2001 Mehrmann V, Watkins D. Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils Siam Journal On Scientific Computing. 22: 1905-1925. DOI: 10.1137/S1064827500366434  0.416
2001 Watkins DS. Performance of the QZ algorithm in the presence of infinite eigenvalues Siam Journal On Matrix Analysis and Applications. 22: 364-375. DOI: 10.1137/S0895479899360376  0.381
2000 Watkins DS. QR -like algorithms for eigenvalue problems Journal of Computational and Applied Mathematics. 123: 67-83.  0.376
2000 Benner P, Byers R, Fassbender H, Mehrmann V, Watkins D. Cholesky-like factorizations of skew-symmetric matrices Electronic Transactions On Numerical Analysis. 11: 85-93.  0.413
1999 Geist GA, Howell GW, Watkins DS. The BR Eigenvalue algorithm Siam Journal On Matrix Analysis and Applications. 20: 1083-1098.  0.437
1999 Benner P, Faßbender H, Watkins DS. SR and SZ algorithms for the symplectic (butterfly) eigenproblem Linear Algebra and Its Applications. 287: 41-76.  0.417
1998 Benner P, Faßbender H, Watkins DS. Two connections between the SR and HR eigenvalue algorithms Linear Algebra and Its Applications. 272: 17-32.  0.372
1998 Watkins DS. Bulge exchanges in algorithms of QR type Siam Journal On Matrix Analysis and Applications. 19: 1074-1096.  0.321
1996 Watkins DS. The transmission of shifts and shift blurring in the QR algorithm Linear Algebra and Its Applications. 241: 877-896. DOI: 10.1016/0024-3795(95)00545-5  0.345
1995 Watkins DS. Forward Stability and Transmission of Shifts in the $QR$ Algorithm Siam Journal On Matrix Analysis and Applications. 16: 469-487. DOI: 10.1137/S0895479893245991  0.307
1994 Watkins D, Elsner L. Theory of Decomposition and Bulge-Chasing Algorithms for the Generalized Eigenvalue Problem Siam Journal On Matrix Analysis and Applications. 15: 943-967. DOI: 10.1137/S089547989122377X  0.455
1994 Watkins DS. Shifting Strategies for the Parallel $QR$ Algorithm Siam Journal On Scientific Computing. 15: 953-958. DOI: 10.1137/0915057  0.329
1993 Haag JB, Watkins DS. QR-like algorithms for the nonsymmetric eigenvalue problem Acm Transactions On Mathematical Software. 19: 407-418. DOI: 10.1145/155743.155849  0.31
1993 Watkins DS. Bidirectional Chasing Algorithms for the Eigenvalue Problem Siam Journal On Matrix Analysis and Applications. 14: 166-179. DOI: 10.1137/0614015  0.311
1993 Watkins DS. Some perspectives on the eigenvalue problem Siam Review. 35: 430-471.  0.407
1992 S. GW, Watkins DS. Fundamentals of Matrix Computations. Mathematics of Computation. 59: 299. DOI: 10.2307/2153000  0.377
1991 Watkins DS, Elsner L. Chasing Algorithms for the Eigenvalue Problem Siam Journal On Matrix Analysis and Applications. 12: 374-384. DOI: 10.1137/0612027  0.311
1991 Watkins DS, Elsner L. Convergence of algorithms of decomposition type for the eigenvalue problem Linear Algebra and Its Applications. 143: 19-47. DOI: 10.1016/0024-3795(91)90004-G  0.395
1989 Watkins DS, Elsner L. Self-equivalent flows associated with the generalized eigenvalue problem Linear Algebra and Its Applications. 118: 107-127. DOI: 10.1016/0024-3795(89)90576-4  0.306
1986 Watkins DS. Eigenvalues and Eigenvectors of a Large Matrix (N. Oden) Siam Review. 28: 240-241. DOI: 10.1137/1028062  0.3
1982 Watkins DS. Understanding the $QR$ Algorithm Siam Review. 24: 427-440. DOI: 10.1137/1024100  0.317
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