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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