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Beresford N. Parlett - Publications

Affiliations: 
Mathematics University of California, Berkeley, Berkeley, CA, United States 
Area:
Numerical analysis, Scientific computation
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91 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
2016 Parlett B, Dopico FM, Ferreira C. The Inverse Eigenvector Problem for Real Tridiagonal Matrices Siam Journal On Matrix Analysis and Applications. 37: 577-597. DOI: 10.1137/15M1025293  0.437
2014 Li S, Gu M, Parlett BN. An improved dqds algorithm Siam Journal On Scientific Computing. 36: C290-C308. DOI: 10.1137/120881087  0.478
2014 Si S, Shin D, Dhillon IS, Parlett BN. Multi-scale spectral decomposition of massive graphs Advances in Neural Information Processing Systems. 4: 2798-2806.  0.564
2012 Ferreira C, Parlett B, Dopico FM. Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix Numerische Mathematik. 122: 527-555. DOI: 10.1007/S00211-012-0470-Z  0.424
2011 Morzfeld M, Ma F, Parlett BN. The transformation of second-order linear systems into independent equations Siam Journal On Applied Mathematics. 71: 1026-1043. DOI: 10.1137/100818637  0.347
2011 Vömel C, Parlett BN. Detecting localization in an invariant subspace Siam Journal On Scientific Computing. 33: 3447-3467. DOI: 10.1137/09077624X  0.441
2011 Gutknecht MH, Parlett BN. From qd to LR, or, how were the qd and LR algorithms discovered? Ima Journal of Numerical Analysis. 31: 741-754. DOI: 10.1093/Imanum/Drq003  0.466
2010 Dubrulle AA, Parlett BN. Revelations of a transposition matrix Journal of Computational and Applied Mathematics. 233: 1217-1219. DOI: 10.1016/J.Cam.2008.11.018  0.373
2009 Parlett BN, Vömel C. The spectrum of a glued matrix Siam Journal On Matrix Analysis and Applications. 31: 114-132. DOI: 10.1137/070687062  0.475
2009 Shomron N, Parlett BN. Linear Algebra meets Lie Algebra: The Kostant-Wallach theory Linear Algebra and Its Applications. 431: 1745-1767. DOI: 10.1016/J.Laa.2009.06.007  0.347
2009 Parlett BN. A result complementary to Gersgorin's Circle Theorem Linear Algebra and Its Applications. 431: 20-27. DOI: 10.1016/J.Laa.2009.01.030  0.308
2009 Ferreira C, Parlett B. Convergence of LR algorithm for a one-point spectrum tridiagonal matrix Numerische Mathematik. 113: 417-431. DOI: 10.1007/S00211-009-0238-2  0.512
2008 Marques OA, Vömel C, Demmel JW, Parlett BN. Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers Acm Transactions On Mathematical Software. 35. DOI: 10.1145/1377603.1377611  0.387
2008 Parlett B, Strang G. Matrices with prescribed Ritz values Linear Algebra and Its Applications. 428: 1725-1739. DOI: 10.1016/J.Laa.2007.10.040  0.414
2008 Liesen J, Parlett BN. On nonsymmetric saddle point matrices that allow conjugate gradient iterations Numerische Mathematik. 108: 605-624. DOI: 10.1007/S00211-007-0131-9  0.429
2007 Demmel JW, Marques OA, Parlett BN, Vömel C. Performance and accuracy of lapack's symmetric tridiagonal eigensolvers Siam Journal On Scientific Computing. 30: 1508-1526. DOI: 10.1137/070688778  0.474
2006 Dhillon IS, Parlett BN, Vömel C. The design and implementation of the MRRR algorithm Acm Transactions On Mathematical Software. 32: 533-560. DOI: 10.1145/1186785.1186788  0.651
2006 Dhillon IS, Parlett BN, Vömel C. Glued matrices and the mrrr algorithm Siam Journal On Scientific Computing. 27: 496-510. DOI: 10.1137/040620746  0.689
2006 Parlett BN, Barszcz E. Another orthogonal matrix Linear Algebra and Its Applications. 417: 342-346. DOI: 10.1016/J.Laa.2005.03.032  0.421
2006 Marques OA, Parlett BN, Vömel C. Computations of eigenpair subsets with the MRRR algorithm Numerical Linear Algebra With Applications. 13: 643-653. DOI: 10.1002/Nla.493  0.479
2005 Parlett BN. A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy Siam Journal On Matrix Analysis and Applications. 26: 1022-1057. DOI: 10.1137/S0895479803424980  0.416
2005 Bai ZZ, Parlett BN, Wang ZQ. On generalized successive overrelaxation methods for augmented linear systems Numerische Mathematik. 102: 1-38. DOI: 10.1007/S00211-005-0643-0  0.381
2004 Dhillon IS, Parlett BN. Orthogonal eigenvectors and relative gaps Siam Journal On Matrix Analysis and Applications. 25: 858-899. DOI: 10.1137/S0895479800370111  0.679
2004 Dhillon IS, Parlett BN. Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices Linear Algebra and Its Applications. 387: 1-28. DOI: 10.1016/J.Laa.2003.12.028  0.687
2003 Parlett BN. Perturbation of Eigenpairs of Factored Symmetric Tridiagonal Matrices Foundations of Computational Mathematics. 3: 207-223. DOI: 10.1007/S10208-001-0051-5  0.369
2003 Parlett BN. The spectral diameter as a function of the diagonal entries Numerical Linear Algebra With Applications. 10: 595-602. DOI: 10.1002/Nla.338  0.315
2002 Parlett BN, Krafft O, Schaefer M. The Largest Eigenvalue of a Positive Definite Symmetric Matrix: 10839 The American Mathematical Monthly. 109: 922. DOI: 10.2307/3072468  0.399
2002 Parlett BN. The (matrix) discriminant as a determinant Linear Algebra and Its Applications. 355: 85-101. DOI: 10.1016/S0024-3795(02)00335-X  0.396
2000 Parlett BN. For tridiagonals T replace T with LDLt Journal of Computational and Applied Mathematics. 123: 117-130. DOI: 10.1016/S0377-0427(00)00394-0  0.362
2000 Parlett BN, Dhillon IS. Relatively robust representations of symmetric tridiagonals Linear Algebra and Its Applications. 309: 121-151. DOI: 10.1016/S0024-3795(99)00262-1  0.641
2000 Parlett BN, Marques OA. An implementation of the dqds algorithm (positive case) Linear Algebra and Its Applications. 309: 217-259. DOI: 10.1016/S0024-3795(00)00010-0  0.532
2000 Parlett BN. The QR Algorithm Computing in Science and Engineering. 2: 38-42.  0.311
1998 Parlett BN. Spectral sensitivity of products of bidiagonals Linear Algebra and Its Applications. 275: 417-431. DOI: 10.1016/S0024-3795(97)10052-0  0.319
1997 Parlett BN, Dhillon IS. Fernando's solution to Wilkinson's problem: An application of double factorization Linear Algebra and Its Applications. 267: 247-279. DOI: 10.1016/S0024-3795(97)80053-5  0.649
1997 Kandić DB, Parlett B, Reljin BD, Vasić PM. Explicit construction of hyperdominant symmetric matrices with assigned spectrum Linear Algebra and Its Applications. 258: 41-51. DOI: 10.1016/S0024-3795(96)00161-9  0.367
1996 Parlett BN. Invariant subspaces for tightly clustered eigenvalues of tridiagonals Bit Numerical Mathematics. 36: 542-562. DOI: 10.1007/Bf01731933  0.358
1995 Parlett BN. The New qd Algorithms Acta Numerica. 4: 459-491. DOI: 10.1017/S0962492900002580  0.478
1995 Vince Fernando K, Parlett BN. Implicit Cholesky algorithms for singular values and vectors of triangular matrices Numerical Linear Algebra With Applications. 2: 507-531. DOI: 10.1002/Nla.1680020604  0.447
1995 Paige CC, Parlett BN, van der Vorst HA. Approximate solutions and eigenvalue bounds from Krylov subspaces Numerical Linear Algebra With Applications. 2: 115-133. DOI: 10.1002/Nla.1680020205  0.432
1994 BERRY M, PARLETT B, SAMEH A. COMPUTING EXTREMAL SINGULAR TRIPLETS OF SPARSE MATRICES ON A SHARED-MEMORY MULTIPROCESSOR International Journal of High Speed Computing. 6: 239-275. DOI: 10.1142/S0129053394000123  0.447
1994 Fernando KV, Parlett BN. Accurate singular values and differential qd algorithms Numerische Mathematik. 67: 191-229. DOI: 10.1007/978-94-015-8196-7_32  0.479
1994 Parlett BN, Heng WL. The Method of Minimal Representations in 2D Ising Model Calculations Journal of Computational Physics. 114: 257-264. DOI: 10.1006/Jcph.1994.1164  0.36
1993 Parlett BN, Le J. Forward Instability of Tridiagonal QR Siam Journal On Matrix Analysis and Applications. 14: 279-316. DOI: 10.1137/0614022  0.424
1992 Parlett BN. Reduction to Tridiagonal Form and Minimal Realizations Siam Journal On Matrix Analysis and Applications. 13: 567-593. DOI: 10.1137/0613036  0.414
1991 Parlett BN. Symmetric matrix pencils Journal of Computational and Applied Mathematics. 38: 373-385. DOI: 10.1016/0377-0427(91)90183-K  0.413
1990 Parlett BN, Chen HC. Use of indefinite pencils for computing damped natural modes Linear Algebra and Its Applications. 140: 53-88. DOI: 10.1016/0024-3795(90)90222-X  0.448
1989 Parlett BN, Nour-Omid B. Towards a black box Lanczos program Computer Physics Communications. 53: 169-179. DOI: 10.1016/0010-4655(89)90158-6  0.366
1988 Schreiber R, Parlett B. Block Reflectors: Theory and Computation Siam Journal On Numerical Analysis. 25: 189-205. DOI: 10.1137/0725014  0.456
1987 Nour-Omid B, Parlett BN, Ericsson T, Jensen PS. How to implement the spectral transformation Mathematics of Computation. 48: 663-673. DOI: 10.1090/S0025-5718-1987-0878698-5  0.451
1987 Parlett BN, Saad Y. Complex shift and invert strategies for real matrices Linear Algebra and Its Applications. 88: 575-595. DOI: 10.1016/0024-3795(87)90126-1  0.324
1986 Natvig J, Nour-Omid B, Parlett BN. Effect of the CYBER 205 on the choice of method for solving the eigenvalue problem (A - λM)x = 0 Journal of Computational and Applied Mathematics. 15: 137-159. DOI: 10.1016/0377-0427(86)90023-3  0.331
1985 Nour-Omid B, Parlett BN. Element Preconditioning Using Splitting Techniques Siam Journal On Scientific and Statistical Computing. 6: 761-770. DOI: 10.1137/0906051  0.396
1985 Parlett BN, Taylor DR, Liu ZA. A look ahead lanczos algorithm for unsymmetric matrices Mathematics of Computation. 44: 105-124. DOI: 10.1090/S0025-5718-1985-0771034-2  0.474
1985 Parlett BN, Nour-Omid B. The use of a refined error bound when updating eigenvalues of tridiagonals Linear Algebra and Its Applications. 68: 179-219. DOI: 10.1016/0024-3795(85)90213-7  0.532
1985 Parlett BN, Nour-Omid B, Natvig J. IMPLEMENTATION OF LANCZOS ALGORITHMS ON VECTOR COMPUTERS . 1-17.  0.345
1984 Parlett BN, Wu WD. Eigenvector matrices of symmetric tridiagonals Numerische Mathematik. 44: 103-110. DOI: 10.1007/Bf01389758  0.437
1983 Nour-Omid B, Parlett BN, Taylor RL. A Newton-Lanczos method for solution of non-linear finite element equations Computers and Structures. 16: 241-252. DOI: 10.1016/0045-7949(83)90164-5  0.376
1983 Nour-Omid B, Parlett BN, Taylor RL. Lanczos versus subspace iteration for solution of eigenvalue problems International Journal For Numerical Methods in Engineering. 19: 859-871. DOI: 10.1002/Nme.1620190608  0.311
1982 Li MR, Nour-Omid B, Parlett BN. A Fast Solver Free of Fill-In for Finite Element Problems Siam Journal On Numerical Analysis. 19: 1233-1242. DOI: 10.1137/0719088  0.396
1982 Kahan W, Parlett BN, Jiang E. Residual Bounds on Approximate Eigensystems of Nonnormal Matrices Siam Journal On Numerical Analysis. 19: 470-484. DOI: 10.1137/0719030  0.443
1982 Parlett BN, Simon H, Stringer LM. On estimating the largest eigenvalue with the lanczos algorithm Mathematics of Computation. 38: 153-165. DOI: 10.1090/S0025-5718-1982-0637293-9  0.42
1982 Parlett BN. Winograd's fourier transform via circulants Linear Algebra and Its Applications. 45: 137-155. DOI: 10.1016/0024-3795(82)90217-8  0.421
1982 Parlett BN, Landis TL. Methods for scaling to doubly stochastic form Linear Algebra and Its Applications. 48: 53-79. DOI: 10.1016/0024-3795(82)90099-4  0.364
1981 Parlett B, Tolimieri R. A Matrix Eigenvalue Problem (G. Efroymson, A. Steger and S. Steinberg) Siam Review. 23: 105-105. DOI: 10.1137/1023014  0.349
1981 Berman A, Parlett BN, Plemmons RJ. Diagonal Scaling to an Orthogonal Matrix Siam Journal On Algebraic Discrete Methods. 2: 57-65. DOI: 10.1137/0602008  0.514
1981 Parlett BN, Reid JK. Tracking the progress of the lanczos algorithm for large symmetric eigenproblems Ima Journal of Numerical Analysis. 1: 135-155. DOI: 10.1093/Imanum/1.2.135  0.518
1980 Parlett BN. A new look at the Lanczos algorithm for solving symmetric systems of linear equations Linear Algebra and Its Applications. 29: 323-346. DOI: 10.1016/0024-3795(80)90248-7  0.47
1979 Parlett BN, Scott DS. The lanczos algorithm with selective orthogonalization Mathematics of Computation. 33: 217-238. DOI: 10.1090/S0025-5718-1979-0514820-3  0.435
1978 Parlett B. Progress in Numerical Analysis Siam Review. 20: 443-456. DOI: 10.1137/1020066  0.318
1978 Hoffmann W, Parlett BN. A New Proof of Global Convergence for the Tridiagonal $QL$ Algorithm Siam Journal On Numerical Analysis. 15: 929-937. DOI: 10.1137/0715060  0.452
1977 Chan SP, Feldman R, Parlett BN. Algorithm 517: A Program for Computing the Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors [F2] Acm Transactions On Mathematical Software (Toms). 3: 186-203. DOI: 10.1145/355732.355741  0.452
1976 Bunch JR, Kaufman L, Parlett BN. Decomposition of a symmetric matrix Numerische Mathematik. 27: 95-109. DOI: 10.1007/Bf01399088  0.521
1974 Parlett BN. Large Sparse Sets of Linear Equations (J. K. Reid, ed.); Sparse Matrices and Their Applications (Donald J. Rose and Ralph A. Willoughby, ed.) Siam Review. 16: 396-398. DOI: 10.1137/1016066  0.302
1974 Parlett BN. The rayleigh quotient iteration and some generalizations for nonnormal matrices Mathematics of Computation. 28: 679-693. DOI: 10.1090/S0025-5718-1974-0405823-3  0.414
1973 Parlett B. Ergodic properties of populations. I. The one sex model. Theoretical Population Biology. 1: 191-207. PMID 5527630 DOI: 10.1016/0040-5809(70)90034-1  0.318
1973 Parlett BN, Poole, Jr. WG. A Geometric Theory for the $QR$, $LU$ and Power Iterations Siam Journal On Numerical Analysis. 10: 389-412. DOI: 10.1137/0710035  0.382
1973 Parlett B. Normal Hessenberg and moment matrices Linear Algebra and Its Applications. 6: 37-43. DOI: 10.1016/0024-3795(73)90005-0  0.443
1973 Parlett BN. Presentation geometrique des methodes de calcul des valeurs propres Numerische Mathematik. 21: 223-233. DOI: 10.1007/Bf01436626  0.433
1971 Parlett BN. Analysis of Algorithms for Reflections in Bisectors Siam Review. 13: 197-208. DOI: 10.1137/1013037  0.362
1971 Bunch JR, Parlett BN. Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations Siam Journal On Numerical Analysis. 8: 639-655. DOI: 10.1137/0708060  0.301
1969 Parlett BN, Reinsch C. Balancing a matrix for calculation of eigenvalues and eigenvectors Numerische Mathematik. 13: 293-304. DOI: 10.1007/Bf02165404  0.451
1968 Parlett B. Global convergence of the basic ${\rm QR}$ algorithm on Hessenberg matrices Mathematics of Computation. 22: 803-803. DOI: 10.1090/S0025-5718-1968-0247759-4  0.449
1967 Parlett B. Canonical decomposition of Hessenberg matrices Mathematics of Computation. 21: 223-223. DOI: 10.1090/S0025-5718-1967-0228519-6  0.418
1967 Parlett B. Correction to convergence of the QR algorithm Numerische Mathematik. 10: 163-164. DOI: 10.1007/Bf02174150  0.418
1966 Parlett B. Convergence of the Q-R algorithm for Hessenberg matrices Communications of the Acm. 9: 475. DOI: 10.1145/365719.366370  0.373
1966 Parlett B. Singular and invariant matrices under the $QR$ transformation Mathematics of Computation. 20: 611-611. DOI: 10.1090/S0025-5718-1966-0213005-9  0.318
1966 Buchanan ML, Parlett BN. The uniform convergence of matrix powers Numerische Mathematik. 9: 51-54. DOI: 10.1007/Bf02165229  0.349
1965 Parlett B. Matrix Eigenvalue Problems The American Mathematical Monthly. 72: 59-66. DOI: 10.1080/00029890.1965.11970699  0.389
1965 Parlett B. Convergence of theQR algorithm Numerische Mathematik. 7: 187-193. DOI: 10.1007/BF01397692  0.305
1964 Parlett B. A note on La Budde’s algorithm Mathematics of Computation. 18: 505-505. DOI: 10.1090/S0025-5718-1964-0165671-2  0.381
1964 Parlett B. Laguerre’s method applied to the matrix eigenvalue problem Mathematics of Computation. 18: 464-464. DOI: 10.1090/S0025-5718-1964-0165668-2  0.475
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