Edit Profile (opens in new tab) Parlett, Beresford Neill Co-Author Distance Author ID: parlett.beresford-n Published as: Parlett, Beresford N.; Parlett, B. N.; Parlett, Beresford; Parlett, B. more...less Homepage: https://math.berkeley.edu/people/faculty/beresford-n-parlett External Links: MGP · Wikidata · dblp Documents Indexed: 116 Publications since 1964, including 3 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 56 Co-Authors with 71 Joint Publications 1,394 Co-Co-Authors all top 5 Co-Authors 41 single-authored 9 Nour-Omid, Bahram 6 Dhillon, Inderjit S. 6 Fernando, K. Vince 6 Vömel, Christof 5 Ferreira, Carla 4 Kahan, William Morton 3 Marques, Osni A. 2 Bunch, James R. 2 Dopico, Froilán M. 2 Le, Jian 2 Ng, Kwok Choi 2 Poole, William G. jun. 2 Schreiber, Robert S. 2 Taylor, Derek R. 2 Taylor, Robert Leroy 1 Bai, Zhongzhi 1 Bareiss, Erwin H. 1 Barlow, Jesse L. 1 Barszcz, Eric 1 Berman, Abraham S. 1 Buchanan, Mary Louise 1 Demmel, James Weldon 1 Dubrulle, Augustin A. 1 Ericsson, Thomas 1 Gao, Feng 1 Greville, Thomas Nall Eden 1 Gu, Ming 1 Gutknecht, Martin H. 1 Henrici, Peter 1 Hill, Richard O. jun. 1 Hoffmann, Walter 1 Jensen, Paul S. 1 Kandić, Dragan B. 1 Kaufman, Linda 1 Landis, T. L. 1 Li, Mingrui 1 Li, Shengguo 1 Liesen, Jörg 1 Liu, Zhishun A. 1 Ma, Fai 1 McCurdy, A. 1 Morzfeld, Matthias 1 Moshman, Jack 1 Natvig, Jostein Roald 1 Ortega, James M. 1 Paige, Christopher C. 1 Plemmons, Robert James 1 Raefsky, Arthur 1 Ralston, Anthony 1 Reid, John 1 Reinsch, Christian H. 1 Reljin, Branimir D. 1 Saad, Yousef 1 Scott, David S. 1 Shomron, Noam 1 Spanier, Jerome 1 Strang, William Gilbert 1 Stringer, L. M. 1 Stroud, Arthur H. 1 Traub, Joseph Frederick 1 Van der Vorst, Henk Albertus 1 Vasic, Petar M. 1 Veselić, Krešimir 1 Wang, Y. 1 Wang, Zengqi 1 Wilf, Herbert S. 1 Wilkinson, James Hardy 1 Wirth, Niklaus all top 5 Serials 20 Linear Algebra and its Applications 13 Numerische Mathematik 11 Mathematics of Computation 8 SIAM Journal on Matrix Analysis and Applications 5 SIAM Journal on Numerical Analysis 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Scientific Computing 4 Numerical Linear Algebra with Applications 3 ACM Transactions on Mathematical Software 3 SIAM Review 2 IMA Journal of Numerical Analysis 2 SIAM Journal on Scientific and Statistical Computing 1 American Mathematical Monthly 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Computers and Structures 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Theoretical Population Biology 1 SIAM Journal on Algebraic and Discrete Methods 1 Parallel Computing 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Foundations of Computational Mathematics 1 Classics in Applied Mathematics all top 5 Fields 94 Numerical analysis (65-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 3 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 2,498 times in 1,922 Documents Cited by ▼ Year ▼ The symmetric eigenvalue problem. Zbl 0431.65017Parlett, Beresford N. 372 1980 The symmetric eigenvalue problem. Unabridged, corrected republication of 1980. Zbl 0885.65039Parlett, Beresford N. 369 1998 On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi 251 2005 A new look at the Lanczos algorithm for solving symmetric systems of linear equations. Zbl 0431.65016Parlett, B. N. 244 1980 A look-ahead Lanczos algorithm for unsymmetric matrices. Zbl 0564.65022Parlett, Beresford N.; Taylor, Derek R.; Liu, Zhishun A. 94 1985 Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. 91 1995 Accurate singular values and differential qd algorithms. Zbl 0814.65036Fernando, K. Vince; Parlett, Beresford N. 61 1994 The Lanczos algorithm with selective orthogonalization. Zbl 0405.65015Parlett, B. N.; Scott, D. S. 61 1979 Reduction to tridiagonal form and minimal realizations. Zbl 0754.65040Parlett, Beresford N. 44 1992 Balancing a matrix for calculation of eigenvalues and eigenvectors. Zbl 0184.37703Parlett, B. N.; Reinsch, C. 44 1969 Direct methods for solving symmetric indefinite systems of linear equations. Zbl 0199.49802Bunch, J. R.; Parlett, B. N. 44 1970 The Rayleigh quotient iteration and some generalizations for nonnormal matrices. Zbl 0293.65023Parlett, B. N. 41 1974 Residual bounds on approximate eigensystems of nonnormal matrices. Zbl 0483.65024Kahan, W.; Parlett, B. N.; Jiang, E. 37 1982 Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices. Zbl 1055.65048Dhillon, Inderjit S.; Parlett, Beresford N. 37 2004 Mathematical methods for digital computers. Vol. 2. Zbl 0183.18601Ralston, A.; Wilf, H. S. 31 1967 The new \(qd\) algorithms. Zbl 0835.65059Parlett, Beresford N. 29 1995 Decomposition of a symmetric matrix. Zbl 0342.65026Bunch, James R.; Kaufman, Linda; Parlett, Beresford N. 27 1976 A recurrence among the elements of functions of triangular matrices. Zbl 0353.65027Parlett, B. N. 27 1976 Orthogonal eigenvectors and relative gaps. Zbl 1068.65046Dhillon, Inderjit S.; Parlett, Beresford N. 26 2004 Laguerre’s method applied to the matrix eigenvalue problem. Zbl 0124.33004Parlett, B. 23 1964 Global convergence of the basic QR algorithm on Hessenberg matrices. Zbl 0184.37602Parlett, B. 21 1968 On estimating the largest eigenvalue with the Lanczos algorithm. Zbl 0476.65024Parlett, B. N.; Simon, H.; Stringer, L. M. 20 1982 Relatively robust representations of symmetric tridiagonals. Zbl 0948.65026Parlett, Beresford; Dhillon, Inderjit S. 20 2000 An implementation of the dqds algorithm (positive case). Zbl 0952.65031Parlett, Beresford N.; Marques, Osni A. 20 2000 Lanczos versus subspace iteration for solution of eigenvalue problems. Zbl 0521.65024Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L. 19 1983 Fernando’s solution to Wilkinson’s problem: An application of double factorization. Zbl 0886.65033Parlett, Beresford N.; Dhillon, Inderjit S. 19 1997 Use of indefinite pencils for computing damped natural modes. Zbl 0725.65055Parlett, B. N.; Chen, H. C. 18 1990 How to implement the spectral transformation. Zbl 0638.65026Nour-Omid, Bahram; Parlett, Beresford N.; Ericsson, Thomas; Jensen, Paul S. 18 1987 Ergodic properties of populations. I: The one sex model. Zbl 0239.92007Parlett, Beresford 18 1970 The design and implementation of the MRRR algorithm. Zbl 1230.65046Dhillon, Inderjit S.; Parlett, Beresford N.; Vömel, Christof 16 2006 Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. Zbl 1165.65014Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof 16 2008 A geometric theory for the QR, LU, and power iterations. Zbl 0253.65018Parlett, B. N.; Poole, W. G. jun. 16 1973 Complex shift and invert strategies for real matrices. Zbl 0623.65045Parlett, Beresford N.; Saad, Youcef 14 1987 Methods for scaling to doubly stochastic form. Zbl 0508.15003Parlett, B. N.; Landis, T. L. 14 1982 How far should you go with the Lanczos process? Zbl 0345.65017Kahan, W.; Parlett, B. N. 14 1976 Accurate computation of divided differences of the exponential function. Zbl 0561.65009McCurdy, A.; Ng, K. C.; Parlett, B. N. 13 1984 The use of a refined error bound when updating eigenvalues of tridiagonals. Zbl 0629.65037Parlett, B. N.; Nour-Omid, B. 13 1985 On nonsymmetric saddle point matrices that allow conjugate gradient iterations. Zbl 1142.65032Liesen, Jörg; Parlett, Beresford N. 13 2008 Forward instability of tridiagonal QR. Zbl 0767.65031Parlett, Beresford N.; Le, Jian 13 1993 Element preconditioning using splitting techniques. Zbl 0582.65019Nour-Omid, B.; Parlett, B. N. 13 1985 Tracking the progress of the Lanczos algorithm for large symmetric eigenproblems. Zbl 0474.65022Parlett, B. N.; Reid, J. K. 11 1981 Block reflectors: Theory and computation. Zbl 0637.65017Schreiber, Robert; Parlett, Beresford 10 1988 The (matrix) discriminant as a determinant. Zbl 1018.15006Parlett, Beresford N. 10 2002 A new proof of global convergence for the tridiagonal QL algorithm. Zbl 0402.65019Hoffmann, W.; Parlett, B. N. 9 1978 Refined interlacing properties. Zbl 0747.15004Hill, R. O. jun.; Parlett, B. N. 9 1992 Invariant subspaces for tightly clustered eigenvalues of tridiagonals. Zbl 0856.15009Parlett, B. N. 9 1996 Accuracy and dissipation in difference schemes. Zbl 0173.44703Parlett, B. 9 1966 Matrices with prescribed Ritz values. Zbl 1141.15010Parlett, Beresford; Strang, Gilbert 8 2008 Canonical decomposition of Hessenberg matrices. Zbl 0159.20501Parlett, B. 8 1967 On the convergence of a practical QR algorithm. Zbl 0195.45002Parlett, B. N.; Kahan, W. 8 1969 Analysis of algorithms for reflections in bisectors. Zbl 0217.52606Parlett, B. N. 8 1971 The symmetric eigenvalue problem. Numerical methods. (Симметричная проблема собственных значений. Численные методы Transl. from the English by Kh. D. Ikranov and Yu. A. Kuznetsov.) Zbl 0524.65023Parlett, Beresford N. 7 1983 The software scene in the extraction of eigenvalues from sparse matrices. Zbl 0573.65025Parlett, B. N. 7 1984 The look ahead Lanczos algorithm for large unsymmetric eigenproblems. Zbl 0564.65021Parlett, B. N.; Taylor, D. R.; Liu, Z.-S. 6 1984 Symmetric matrix pencils. Zbl 0772.15005Parlett, Beresford N. 6 1991 The development and use of methods of LR type. Zbl 0242.65039Parlett, Beresford 6 1964 From qd to LR, or, how were the qd and LR algorithms discovered? Zbl 1222.65032Gutknecht, Martin H.; Parlett, Beresford N. 6 2011 The transformation of second-order linear systems into independent equations. Zbl 1232.34060Morzfeld, Matthias; Ma, Fai; Parlett, Beresford N. 6 2011 Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M. 5 2012 Convergence of the QR algorithm. Zbl 0132.36301Parlett, Beresford 5 1965 A result complementary to Geršgorin’s circle theorem. Zbl 1176.15025Parlett, Beresford N. 4 2009 A Newton-Lanczos method for solution of nonlinear finite element equations. Zbl 0499.73058Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L. 4 1983 Misconvergence in the Lanczos algorithm. Zbl 0726.65032Parlett, Beresford 4 1990 Progress in numerical analysis. Zbl 0408.65002Parlett, Beresford 4 1978 Correction to convergence of the QR algorithm. Zbl 0171.36004Parlett, B. 4 1967 Detecting localization in an invariant subspace. Zbl 1232.15011Vömel, Christof; Parlett, Beresford N. 4 2011 A program for computing the condition numbers of matrix eigenvalues without computing eigenvectors. Zbl 0353.65026Chan, S. P.; Feldman, R.; Parlett, B. N. 4 1977 Eigenvector matrices of symmetric tridiagonals. Zbl 0542.15001Parlett, B. N.; Wu, W.-D. 3 1984 Towards a black box Lanczos program. Zbl 0798.65054Parlett, Beresford N.; Nour-Omid, Bahram 3 1989 A fast solver free of fill-in for finite element problems. Zbl 0493.65045Li, M. R.; Nour-Omid, B.; Parlett, B. N. 3 1982 Diagonal scaling to an orthogonal matrix. Zbl 0498.65024Berman, A.; Parlett, B. N.; Plemmons, R. J. 3 1981 Two monitoring schemes for the Lanczos algorithm. Zbl 0499.65017Parlett, B. N. 3 1982 Implicit Cholesky algorithms for singular values and vectors of triangular matrices. Zbl 0841.65022Fernando, K. Vince; Parlett, Beresford N. 3 1995 Some basic information on information-based complexity theory. Zbl 0765.65042Parlett, Beresford N. 3 1992 Winograd’s Fourier transform via circulants. Zbl 0515.65099Parlett, B. N. 3 1982 Spectral sensitivity of products of bidiagonals. Zbl 0933.15010Parlett, Beresford N. 3 1998 Normal Hessenberg and moment matrices. Zbl 0251.15022Parlett, Beresford 3 1973 A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy. Zbl 1081.15005Parlett, Beresford N. 3 2005 An improved DQDS algorithm. Zbl 1297.65042Li, Shengguo; Gu, Ming; Parlett, Beresford N. 2 2014 Comparison of Lanczos with conjugate gradient using element preconditioning. Zbl 0658.65034Nour-Omid, B.; Parlett, B. N.; Raefsky, A. 2 1988 Accurate computation of the matrix exponential. Zbl 0677.65040Parlett, B. N.; Ng, K. C. 2 1986 Convergence of LR algorithm for a one-point spectrum tridiagonal matrix. Zbl 1176.65040Ferreira, Carla; Parlett, Beresford 2 2009 Do we fully understand the symmetric Lanczos algorithm yet? Zbl 1260.65018Parlett, Beresford N. 2 1994 The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla 2 2016 Explicit construction of hyperdominant symmetric matrices with assigned spectrum. Zbl 0878.15004Kandić, Dragan B.; Parlett, Beresford; Reljin, Branimir D.; Vasić, Petar M. 2 1997 For tridiagonals \(T\) replace \(T\) with \(LDL\). Zbl 0970.65032Parlett, Beresford N. 2 2000 Singular and invariant matrices under the QR transformation. Zbl 0238.65018Parlett, Beresford 2 1966 The spectral diameter as a function of the diagonal entries. Zbl 1071.65539Parlett, Beresford N. 2 2003 The influence of the compiler on the cost of mathematical software - in particular on the cost of triangular factorization. Zbl 0312.68017Parlett, B. N.; Wang, Y. 2 1975 Block reflectors: Computation and applications. Zbl 0677.65039Schreiber, Robert S.; Parlett, Beresford N. 1 1986 Differential \(qd\) algorithms. Zbl 0794.65023Vince Fernando, K.; Parlett, Beresford N. 1 1993 Computations of eigenpair subsets with the MRRR algorithm. Zbl 1174.65369Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof 1 2006 A note on communication analysis of parallel sparse Cholesky factorization on a hypercube. Zbl 0715.65017Gao, Feng; Parlett, Beresford N. 1 1990 Another orthogonal matrix. Zbl 1101.15026Parlett, B. N.; Barszcz, E. 1 2006 Effect of the CYBER 205 on the choice of method for solving the eigenvalue problem \((A-\lambda M)x=0\). Zbl 0635.65032Natvig, J.; Nour-Omid, B.; Parlett, B. N. 1 1986 Matrix eigenvalue problems. Zbl 0123.11302Parlett, Beresford 1 1965 Presentation geométrique des méthodes de calcul des valeurs propres. Zbl 0255.65020Parlett, B. N. 1 1973 A note on La Budde’s algorithm. Zbl 0208.39902Parlett, B. 1 1964 A geometric theory for the QR, LU, and power iterations. Zbl 0227.65027Parlett, B. N.; Poole, W. G. jun. 1 1972 Perturbation of eigenpairs of factored symmetric tridiagonal matrices. Zbl 1028.65027Parlett, Beresford N. 1 2003 The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla 2 2016 An improved DQDS algorithm. Zbl 1297.65042Li, Shengguo; Gu, Ming; Parlett, Beresford N. 2 2014 Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M. 5 2012 From qd to LR, or, how were the qd and LR algorithms discovered? Zbl 1222.65032Gutknecht, Martin H.; Parlett, Beresford N. 6 2011 The transformation of second-order linear systems into independent equations. Zbl 1232.34060Morzfeld, Matthias; Ma, Fai; Parlett, Beresford N. 6 2011 Detecting localization in an invariant subspace. Zbl 1232.15011Vömel, Christof; Parlett, Beresford N. 4 2011 A result complementary to Geršgorin’s circle theorem. Zbl 1176.15025Parlett, Beresford N. 4 2009 Convergence of LR algorithm for a one-point spectrum tridiagonal matrix. Zbl 1176.65040Ferreira, Carla; Parlett, Beresford 2 2009 The spectrum of a glued matrix. Zbl 1187.15012Parlett, Beresford N.; Vömel, Christof 1 2009 Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. Zbl 1165.65014Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof 16 2008 On nonsymmetric saddle point matrices that allow conjugate gradient iterations. Zbl 1142.65032Liesen, Jörg; Parlett, Beresford N. 13 2008 Matrices with prescribed Ritz values. Zbl 1141.15010Parlett, Beresford; Strang, Gilbert 8 2008 The design and implementation of the MRRR algorithm. Zbl 1230.65046Dhillon, Inderjit S.; Parlett, Beresford N.; Vömel, Christof 16 2006 Computations of eigenpair subsets with the MRRR algorithm. Zbl 1174.65369Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof 1 2006 Another orthogonal matrix. Zbl 1101.15026Parlett, B. N.; Barszcz, E. 1 2006 On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi 251 2005 A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy. Zbl 1081.15005Parlett, Beresford N. 3 2005 Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices. Zbl 1055.65048Dhillon, Inderjit S.; Parlett, Beresford N. 37 2004 Orthogonal eigenvectors and relative gaps. Zbl 1068.65046Dhillon, Inderjit S.; Parlett, Beresford N. 26 2004 The spectral diameter as a function of the diagonal entries. Zbl 1071.65539Parlett, Beresford N. 2 2003 Perturbation of eigenpairs of factored symmetric tridiagonal matrices. Zbl 1028.65027Parlett, Beresford N. 1 2003 The (matrix) discriminant as a determinant. Zbl 1018.15006Parlett, Beresford N. 10 2002 Relatively robust representations of symmetric tridiagonals. Zbl 0948.65026Parlett, Beresford; Dhillon, Inderjit S. 20 2000 An implementation of the dqds algorithm (positive case). Zbl 0952.65031Parlett, Beresford N.; Marques, Osni A. 20 2000 For tridiagonals \(T\) replace \(T\) with \(LDL\). Zbl 0970.65032Parlett, Beresford N. 2 2000 The symmetric eigenvalue problem. Unabridged, corrected republication of 1980. Zbl 0885.65039Parlett, Beresford N. 369 1998 Spectral sensitivity of products of bidiagonals. Zbl 0933.15010Parlett, Beresford N. 3 1998 Fernando’s solution to Wilkinson’s problem: An application of double factorization. Zbl 0886.65033Parlett, Beresford N.; Dhillon, Inderjit S. 19 1997 Explicit construction of hyperdominant symmetric matrices with assigned spectrum. Zbl 0878.15004Kandić, Dragan B.; Parlett, Beresford; Reljin, Branimir D.; Vasić, Petar M. 2 1997 Invariant subspaces for tightly clustered eigenvalues of tridiagonals. Zbl 0856.15009Parlett, B. N. 9 1996 Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. 91 1995 The new \(qd\) algorithms. Zbl 0835.65059Parlett, Beresford N. 29 1995 Implicit Cholesky algorithms for singular values and vectors of triangular matrices. Zbl 0841.65022Fernando, K. Vince; Parlett, Beresford N. 3 1995 Accurate singular values and differential qd algorithms. Zbl 0814.65036Fernando, K. Vince; Parlett, Beresford N. 61 1994 Do we fully understand the symmetric Lanczos algorithm yet? Zbl 1260.65018Parlett, Beresford N. 2 1994 Forward instability of tridiagonal QR. Zbl 0767.65031Parlett, Beresford N.; Le, Jian 13 1993 Differential \(qd\) algorithms. Zbl 0794.65023Vince Fernando, K.; Parlett, Beresford N. 1 1993 Reduction to tridiagonal form and minimal realizations. Zbl 0754.65040Parlett, Beresford N. 44 1992 Refined interlacing properties. Zbl 0747.15004Hill, R. O. jun.; Parlett, B. N. 9 1992 Some basic information on information-based complexity theory. Zbl 0765.65042Parlett, Beresford N. 3 1992 Symmetric matrix pencils. Zbl 0772.15005Parlett, Beresford N. 6 1991 Use of indefinite pencils for computing damped natural modes. Zbl 0725.65055Parlett, B. N.; Chen, H. C. 18 1990 Misconvergence in the Lanczos algorithm. Zbl 0726.65032Parlett, Beresford 4 1990 A note on communication analysis of parallel sparse Cholesky factorization on a hypercube. Zbl 0715.65017Gao, Feng; Parlett, Beresford N. 1 1990 Towards a black box Lanczos program. Zbl 0798.65054Parlett, Beresford N.; Nour-Omid, Bahram 3 1989 Block reflectors: Theory and computation. Zbl 0637.65017Schreiber, Robert; Parlett, Beresford 10 1988 Comparison of Lanczos with conjugate gradient using element preconditioning. Zbl 0658.65034Nour-Omid, B.; Parlett, B. N.; Raefsky, A. 2 1988 How to implement the spectral transformation. Zbl 0638.65026Nour-Omid, Bahram; Parlett, Beresford N.; Ericsson, Thomas; Jensen, Paul S. 18 1987 Complex shift and invert strategies for real matrices. Zbl 0623.65045Parlett, Beresford N.; Saad, Youcef 14 1987 Accurate computation of the matrix exponential. Zbl 0677.65040Parlett, B. N.; Ng, K. C. 2 1986 Block reflectors: Computation and applications. Zbl 0677.65039Schreiber, Robert S.; Parlett, Beresford N. 1 1986 Effect of the CYBER 205 on the choice of method for solving the eigenvalue problem \((A-\lambda M)x=0\). Zbl 0635.65032Natvig, J.; Nour-Omid, B.; Parlett, B. N. 1 1986 A look-ahead Lanczos algorithm for unsymmetric matrices. Zbl 0564.65022Parlett, Beresford N.; Taylor, Derek R.; Liu, Zhishun A. 94 1985 The use of a refined error bound when updating eigenvalues of tridiagonals. Zbl 0629.65037Parlett, B. N.; Nour-Omid, B. 13 1985 Element preconditioning using splitting techniques. Zbl 0582.65019Nour-Omid, B.; Parlett, B. N. 13 1985 Accurate computation of divided differences of the exponential function. Zbl 0561.65009McCurdy, A.; Ng, K. C.; Parlett, B. N. 13 1984 The software scene in the extraction of eigenvalues from sparse matrices. Zbl 0573.65025Parlett, B. N. 7 1984 The look ahead Lanczos algorithm for large unsymmetric eigenproblems. Zbl 0564.65021Parlett, B. N.; Taylor, D. R.; Liu, Z.-S. 6 1984 Eigenvector matrices of symmetric tridiagonals. Zbl 0542.15001Parlett, B. N.; Wu, W.-D. 3 1984 Lanczos versus subspace iteration for solution of eigenvalue problems. Zbl 0521.65024Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L. 19 1983 The symmetric eigenvalue problem. Numerical methods. (Симметричная проблема собственных значений. Численные методы Transl. from the English by Kh. D. Ikranov and Yu. A. Kuznetsov.) Zbl 0524.65023Parlett, Beresford N. 7 1983 A Newton-Lanczos method for solution of nonlinear finite element equations. Zbl 0499.73058Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L. 4 1983 Residual bounds on approximate eigensystems of nonnormal matrices. Zbl 0483.65024Kahan, W.; Parlett, B. N.; Jiang, E. 37 1982 On estimating the largest eigenvalue with the Lanczos algorithm. Zbl 0476.65024Parlett, B. N.; Simon, H.; Stringer, L. M. 20 1982 Methods for scaling to doubly stochastic form. Zbl 0508.15003Parlett, B. N.; Landis, T. L. 14 1982 A fast solver free of fill-in for finite element problems. Zbl 0493.65045Li, M. R.; Nour-Omid, B.; Parlett, B. N. 3 1982 Two monitoring schemes for the Lanczos algorithm. Zbl 0499.65017Parlett, B. N. 3 1982 Winograd’s Fourier transform via circulants. Zbl 0515.65099Parlett, B. N. 3 1982 Tracking the progress of the Lanczos algorithm for large symmetric eigenproblems. Zbl 0474.65022Parlett, B. N.; Reid, J. K. 11 1981 Diagonal scaling to an orthogonal matrix. Zbl 0498.65024Berman, A.; Parlett, B. N.; Plemmons, R. J. 3 1981 The symmetric eigenvalue problem. Zbl 0431.65017Parlett, Beresford N. 372 1980 A new look at the Lanczos algorithm for solving symmetric systems of linear equations. Zbl 0431.65016Parlett, B. N. 244 1980 The Lanczos algorithm with selective orthogonalization. Zbl 0405.65015Parlett, B. N.; Scott, D. S. 61 1979 A new proof of global convergence for the tridiagonal QL algorithm. Zbl 0402.65019Hoffmann, W.; Parlett, B. N. 9 1978 Progress in numerical analysis. Zbl 0408.65002Parlett, Beresford 4 1978 A program for computing the condition numbers of matrix eigenvalues without computing eigenvectors. Zbl 0353.65026Chan, S. P.; Feldman, R.; Parlett, B. N. 4 1977 Decomposition of a symmetric matrix. Zbl 0342.65026Bunch, James R.; Kaufman, Linda; Parlett, Beresford N. 27 1976 A recurrence among the elements of functions of triangular matrices. Zbl 0353.65027Parlett, B. N. 27 1976 How far should you go with the Lanczos process? Zbl 0345.65017Kahan, W.; Parlett, B. N. 14 1976 The influence of the compiler on the cost of mathematical software - in particular on the cost of triangular factorization. Zbl 0312.68017Parlett, B. N.; Wang, Y. 2 1975 The Rayleigh quotient iteration and some generalizations for nonnormal matrices. Zbl 0293.65023Parlett, B. N. 41 1974 A geometric theory for the QR, LU, and power iterations. Zbl 0253.65018Parlett, B. N.; Poole, W. G. jun. 16 1973 Normal Hessenberg and moment matrices. Zbl 0251.15022Parlett, Beresford 3 1973 Presentation geométrique des méthodes de calcul des valeurs propres. Zbl 0255.65020Parlett, B. N. 1 1973 A geometric theory for the QR, LU, and power iterations. Zbl 0227.65027Parlett, B. N.; Poole, W. G. jun. 1 1972 Analysis of algorithms for reflections in bisectors. Zbl 0217.52606Parlett, B. N. 8 1971 Direct methods for solving symmetric indefinite systems of linear equations. Zbl 0199.49802Bunch, J. R.; Parlett, B. N. 44 1970 Ergodic properties of populations. I: The one sex model. Zbl 0239.92007Parlett, Beresford 18 1970 Balancing a matrix for calculation of eigenvalues and eigenvectors. Zbl 0184.37703Parlett, B. N.; Reinsch, C. 44 1969 On the convergence of a practical QR algorithm. Zbl 0195.45002Parlett, B. N.; Kahan, W. 8 1969 Global convergence of the basic QR algorithm on Hessenberg matrices. Zbl 0184.37602Parlett, B. 21 1968 Mathematical methods for digital computers. Vol. 2. Zbl 0183.18601Ralston, A.; Wilf, H. S. 31 1967 Canonical decomposition of Hessenberg matrices. Zbl 0159.20501Parlett, B. 8 1967 Correction to convergence of the QR algorithm. Zbl 0171.36004Parlett, B. 4 1967 Accuracy and dissipation in difference schemes. Zbl 0173.44703Parlett, B. 9 1966 Singular and invariant matrices under the QR transformation. Zbl 0238.65018Parlett, Beresford 2 1966 Convergence of the QR algorithm. Zbl 0132.36301Parlett, Beresford 5 1965 Matrix eigenvalue problems. Zbl 0123.11302Parlett, Beresford 1 1965 Laguerre’s method applied to the matrix eigenvalue problem. Zbl 0124.33004Parlett, B. 23 1964 The development and use of methods of LR type. Zbl 0242.65039Parlett, Beresford 6 1964 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,313 Authors 33 Parlett, Beresford Neill 30 Zhang, Guofeng 24 Jia, Zhongxiao 22 Ma, Changfeng 21 Li, Rencang 21 Nakatsukasa, Yuji 20 Saad, Yousef 19 Huang, Zhengge 19 Liang, Zhaozheng 16 Cui, Jingjing 16 Golub, Gene Howard 15 Lin, Wen-Wei 15 Xu, Zhong 14 Bai, Zhongzhi 14 Nakamura, Yoshimasa 14 Reichel, Lothar 14 Van Dooren, Paul M. 14 Vandebril, Raf 14 Wu, Yujiang 14 Zhang, Lei-Hong 13 Morgan, Ronald B. 13 Van der Vorst, Henk Albertus 13 Wang, Ligong 13 Yang, Aili 13 Ye, Qiang 12 Aishima, Kensuke 12 Benner, Peter 12 Cao, Yang 12 Druskin, Vladimir 12 Huang, Ting-Zhu 12 Khojasteh Salkuyeh, Davod 11 Barlow, Jesse L. 11 Mehrmann, Volker 11 Miao, Cun-Qiang 11 Pan, Victor Yakovlevich 11 Van Barel, Marc 11 Wu, Gang 11 Yamamoto, Yusaku 10 Dax, Achiya 10 Dopico, Froilán M. 10 Hochstenbach, Michiel E. 10 Iwasaki, Masashi 10 Knizhnerman, Leonid 10 Miao, Shu-Xin 10 Nour-Omid, Bahram 10 Zhang, Naimin 9 Chen, Guoliang 9 Gragg, William B. 9 Mastronardi, Nicola 9 Sleijpen, Gerard L. G. 9 Zheng, Qingqing 8 Baglama, James 8 Brezinski, Claude 8 Freund, Roland W. 8 Ibrahimbegović, Adnan 8 Shen, Chungen 8 Singer, Sanja 8 Slapničar, Ivan 8 Strakoš, Zdeněk 8 Zhou, Yunkai 7 Bergamaschi, Luca 7 Boley, Daniel L. 7 Chao, Zhen 7 Hari, Vjeran 7 Higham, Nicholas J. 7 Kressner, Daniel 7 Lu, Linzhang 7 Meerbergen, Karl 7 Neymeyr, Klaus 7 Pini, Giorgio 7 Redivo-Zaglia, Michela 7 Sadok, Hassane 7 Tisseur, Françoise 7 Veselić, Krešimir 7 Wang, Zengqi 7 Zhang, Jianhua 7 Zheng, Bing 6 Bai, Zhaojun 6 Bunse-Gerstner, Angelika 6 Calvetti, Daniela 6 Chu, Moody T. 6 Cullum, Jane K. 6 Demmel, James Weldon 6 Dou, Yan 6 Fan, Hongtao 6 Faßbender, Heike 6 Frommer, Andreas 6 Gemignani, Luca 6 Huang, Na 6 Huang, Rong 6 Jiang, Erxiong 6 Knyazev, Andrew V. 6 Meurant, Gérard A. 6 Paige, Christopher C. 6 Pozza, Stefano 6 Román, Jose E. 6 Sadkane, Miloud 6 Simoncini, Valeria 6 Singer, Saša 6 Sorensen, Danny C. ...and 2,213 more Authors all top 5 Cited in 270 Serials 278 Linear Algebra and its Applications 165 Journal of Computational and Applied Mathematics 92 Numerical Algorithms 78 Applied Mathematics and Computation 68 Numerische Mathematik 67 Numerical Linear Algebra with Applications 61 BIT 61 SIAM Journal on Matrix Analysis and Applications 59 Computers & Mathematics with Applications 50 Journal of Computational Physics 48 Mathematics of Computation 42 Applied Numerical Mathematics 42 SIAM Journal on Scientific Computing 41 Computer Methods in Applied Mechanics and Engineering 39 International Journal for Numerical Methods in Engineering 36 Computer Physics Communications 32 International Journal of Computer Mathematics 20 Applied Mathematics Letters 16 Computing 16 Computational and Applied Mathematics 15 Calcolo 14 Journal of Scientific Computing 14 Japan Journal of Industrial and Applied Mathematics 14 East Asian Journal on Applied Mathematics 11 Linear and Multilinear Algebra 10 International Journal of Control 10 Journal of Optimization Theory and Applications 9 Computational Mechanics 9 Journal of Mathematical Sciences (New York) 9 ETNA. 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Series A 3 Journal of Global Optimization 3 Computational Mathematics and Mathematical Physics 3 SIAM Journal on Applied Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Computational Statistics and Data Analysis 3 Cybernetics and Systems Analysis 3 Computational Optimization and Applications 3 Engineering Analysis with Boundary Elements 3 Mathematical Population Studies 3 Foundations of Computational Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Applied Mathematics and Computing 3 BIT. Nordisk Tidskrift for Informationsbehandling 3 Numerical Algebra, Control and Optimization 3 JSIAM Letters 2 Bulletin of the Australian Mathematical Society 2 International Journal of Mathematical Education in Science and Technology 2 Physica A 2 Physics Letters. A 2 Theoretical and Mathematical Physics 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 The Annals of Statistics 2 Journal of Differential Equations 2 The Journal of Mathematical Sociology 2 Kybernetika 2 Meccanica ...and 170 more Serials all top 5 Cited in 53 Fields 1,545 Numerical analysis (65-XX) 455 Linear and multilinear algebra; matrix theory (15-XX) 113 Operations research, mathematical programming (90-XX) 112 Partial differential equations (35-XX) 101 Mechanics of deformable solids (74-XX) 73 Computer science (68-XX) 54 Systems theory; control (93-XX) 51 Fluid mechanics (76-XX) 50 Quantum theory (81-XX) 47 Operator theory (47-XX) 45 Ordinary differential equations (34-XX) 34 Dynamical systems and ergodic theory (37-XX) 34 Approximations and expansions (41-XX) 34 Statistics (62-XX) 32 Combinatorics (05-XX) 28 Probability theory and stochastic processes (60-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 24 Optics, electromagnetic theory (78-XX) 22 Functions of a complex variable (30-XX) 22 Information and communication theory, circuits (94-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Special functions (33-XX) 19 Biology and other natural sciences (92-XX) 18 Mechanics of particles and systems (70-XX) 15 Real functions (26-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 11 Field theory and polynomials (12-XX) 10 Geophysics (86-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Difference and functional equations (39-XX) 7 Algebraic geometry (14-XX) 7 Group theory and generalizations (20-XX) 7 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Topological groups, Lie groups (22-XX) 5 Functional analysis (46-XX) 4 Integral equations (45-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Potential theory (31-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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