Beresford Neill Parlett

Email address: parlett@math.berkeley.edu

My Recent Publications:

•   [1] MR2030625 Parlett, Beresford N. The spectral diameter as a function of the diagonal entries. Dedicated to the 70th birthday of Ivo Marek. Numer. Linear Algebra Appl. 10 (2003),    no. 7, 595--602. 15A42
•   [2] MR1966300 (2004f:65044) Parlett, Beresford N. Perturbation of eigenpairs of factored symmetric tridiagonal matrices. Found. Comput. Math. 3 (2003), no. 2, 207--223. (Reviewer:   Mei-Qin Chen) 65F15
•   [3] MR1903024  Special issue on accurate solution of eigenvalue problems. Including papers from the 3rd International Workshop (IWASEP) held in Hagen, July 3--6, 2000. Edited   by Jesse L. Barlow, Beresford N. Parlett and Kre\v simir Veseli\'c. Linear Algebra Appl. 358 (2003). North-Holland Publishing Co., New York, 2003. pp. i--iv and 1--425. 15-06 (65F15)
•  [4] MR1930139 (2003i:15008) Parlett, Beresford N. The (matrix) discriminant as a determinant. Linear Algebra Appl. 355 (2002), 85--101. (Reviewer: Jorma Kaarlo Merikoski) 15A15   (15A57)
•   [5] MR1798522 (2001j:65055) Parlett, Beresford N. For tridiagonals $T$ replace $T$ with $LDL\sp {\rm t}$. Numerical analysis 2000, Vol. III. Linear algebra. J. Comput. Appl. Math. 123   (2000), no. 1-2, 117--130. 65F10 (65F35)
•  [6] MR1758369 (2001d:65048) Parlett, Beresford N.; Marques, Osni A. An implementation of the dqds algorithm (positive case). Proceedings of the International Workshop on   Accurate Solution of Eigenvalue Problems (University Park, PA, 1998). Linear Algebra Appl. 309 (2000), no. 1-3, 217--259. 65F15
•  [7] MR1758365 (2001e:65064) Parlett, Beresford N.; Dhillon, Inderjit S. Relatively robust representations of symmetric tridiagonals. Proceedings of the International Workshop on  Accurate Solution of Eigenvalue Problems (University Park, PA, 1998). Linear Algebra Appl. 309 (2000), no. 1-3, 121--151. (Reviewer: Raffaella Pavani) 65F15
•   [8] MR1758357 (2000m:65010)  Proceedings of the International Workshop on Accurate Solution of Eigenvalue Problems. Held at Pennsylvania State University, University Park,  PA, July 20--23, 1998. Edited by Jesse L. Barlow, Beresford N. Parlett and Kre\v simir Veseli\'c. Linear Algebra Appl. 309 (2000), no. 1-3. North-Holland Publishing Co., New York,   2000. pp. i--iii and 1--361. 65-06 (15-06 65F15 65L15 65N25)
•   [9] MR1628402 (99e:65063) Parlett, Beresford N. Spectral sensitivity of products of bidiagonals. Proceedings of the Sixth Conference of the International Linear Algebra Society   (Chemnitz, 1996). Linear Algebra Appl. 275/276 (1998), 417--431. (Reviewer: Yao Zhang) 65F15 (15A18)
•   [10] MR1490034 (99c:65072) Parlett, Beresford N. The symmetric eigenvalue problem. Corrected reprint of the 1980 original. Classics in Applied Mathematics, 20. Society for   Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1998. xxiv+398 pp. ISBN: 0-89871-402-8 (Reviewer: F. Szidarovszky) 65F15 (15A18)
•   [11] MR1601711 Parlett, Beresford N. New versions of qd for products of bidiagonals. Approximation theory and optimization (Cambridge, 1996), 183--200, Cambridge Univ. Press, Cambridge,   1997. 65F15
•   [12] MR1479123 (99f:15018) Parlett, Beresford N.; Dhillon, Inderjit S. Fernando's solution to Wilkinson's problem: an application of double factorization. Linear Algebra Appl. 267   (1997), 247--279. 15A23
•    [13] MR1444093 (97m:15011) Kandi\'c, Dragan B.; Parlett, Beresford; Reljin, Branimir D.; Vasi\'c, Petar M. Explicit construction of hyperdominant symmetric matrices with assigned    spectrum. Linear Algebra Appl. 258 (1997), 41--51. (Reviewer: F. Szidarovszky) 15A18
•   [14] MR1410097 (97j:65065) Parlett, B. N. Invariant subspaces for tightly clustered eigenvalues of tridiagonals. International Linear Algebra Year (Toulouse, 1995). BIT 36 (1996),   no. 3, 542--562. 65F15
•   [15] MR1405621 (97d:65019) Parlett, B. N. Orthogonal eigenvectors without Gram-Schmidt. Numerical analysis 1995 (Dundee, 1995), 140--153, Pitman Res. Notes Math. Ser., 344,   Longman, Harlow, 1996. 65F15
•   [16] MR1367058 (96h:65057) Fernando, K. Vince; Parlett, Beresford N. Implicit Cholesky algorithms for singular values and vectors of triangular matrices. Numer. Linear Algebra Appl.   2 (1995), no. 6, 507--531. 65F15
•   [17] MR1352476 (96g:65041) Parlett, Beresford N. The new qd algorithms. Acta numerica, 1995, 459--491, Acta Numer., Cambridge Univ. Press, Cambridge, 1995. (Reviewer: Hongyuan   Zha) 65F15
•    [18] MR1323816 (96a:65054) Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. Approximate solutions and eigenvalue bounds from Krylov subspaces. Numer. Linear   Algebra Appl. 2 (1995), no. 2, 115--133. (Reviewer: Colette Lebaud) 65F15
•   [19] MR1298225 (95f:65238) Parlett, Beresford N. Do we fully understand the symmetric Lanczos algorithm yet? Proceedings of the Cornelius Lanczos International Centenary Conference   (Raleigh, NC, 1993), 93--107, SIAM, Philadelphia, PA, 1994. 65Y20 (65F15)
•   [20] MR1294929 Parlett, Beresford N.; Heng, Wee-Liang The method of minimal representations in $2$D Ising model calculations. J. Comput. Phys. 114 (1994), no. 2, 257--264.   82B20 (82B80)

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• Berkeley, CA, 94705 1513