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Parlett, Beresford Neill

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Author ID: parlett.beresford-n Recent zbMATH articles by "Parlett, Beresford Neill"
Published as: Parlett, B.; Parlett, B. N.; Parlett, Beresford; Parlett, Beresford N.
Homepage: https://math.berkeley.edu/people/faculty/beresford-n-parlett
External Links: MGP · Wikidata · dblp
Documents Indexed: 116 Publications since 1964, including 3 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 2,490 times in 1,747 Documents Cited by Year
The symmetric eigenvalue problem. Zbl 0431.65017
Parlett, Beresford N.
564
1980
The symmetric eigenvalue problem. Unabridged, corrected republication of 1980. Zbl 0885.65039
Parlett, Beresford N.
303
1998
A new look at the Lanczos algorithm for solving symmetric systems of linear equations. Zbl 0431.65016
Parlett, B. N.
237
1980
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
212
2005
A look-ahead Lanczos algorithm for unsymmetric matrices. Zbl 0564.65022
Parlett, Beresford N.; Taylor, Derek R.; Liu, Zhishun A.
91
1985
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
84
1995
The Lanczos algorithm with selective orthogonalization. Zbl 0405.65015
Parlett, B. N.; Scott, D. S.
55
1979
Accurate singular values and differential qd algorithms. Zbl 0814.65036
Fernando, K. Vince; Parlett, Beresford N.
53
1994
Direct methods for solving symmetric indefinite systems of linear equations. Zbl 0199.49802
Bunch, J. R.; Parlett, B. N.
50
1970
Balancing a matrix for calculation of eigenvalues and eigenvectors. Zbl 0184.37703
Parlett, B. N.; Reinsch, C.
41
1969
Reduction to tridiagonal form and minimal realizations. Zbl 0754.65040
Parlett, Beresford N.
39
1992
The Rayleigh quotient iteration and some generalizations for nonnormal matrices. Zbl 0293.65023
Parlett, B. N.
38
1974
Residual bounds on approximate eigensystems of nonnormal matrices. Zbl 0483.65024
Kahan, W.; Parlett, B. N.; Jiang, E.
35
1982
Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices. Zbl 1055.65048
Dhillon, Inderjit S.; Parlett, Beresford N.
34
2004
The new \(qd\) algorithms. Zbl 0835.65059
Parlett, Beresford N.
26
1995
Decomposition of a symmetric matrix. Zbl 0342.65026
Bunch, James R.; Kaufman, Linda; Parlett, Beresford N.
26
1976
Orthogonal eigenvectors and relative gaps. Zbl 1068.65046
Dhillon, Inderjit S.; Parlett, Beresford N.
24
2004
A recurrence among the elements of functions of triangular matrices. Zbl 0353.65027
Parlett, B. N.
22
1976
Laguerre’s method applied to the matrix eigenvalue problem. Zbl 0124.33004
Parlett, B.
21
1964
Global convergence of the basic QR algorithm on Hessenberg matrices. Zbl 0184.37602
Parlett, B.
20
1968
Relatively robust representations of symmetric tridiagonals. Zbl 0948.65026
Parlett, Beresford; Dhillon, Inderjit S.
18
2000
Lanczos versus subspace iteration for solution of eigenvalue problems. Zbl 0521.65024
Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L.
18
1983
Fernando’s solution to Wilkinson’s problem: An application of double factorization. Zbl 0886.65033
Parlett, Beresford N.; Dhillon, Inderjit S.
17
1997
A geometric theory for the QR, LU, and power iterations. Zbl 0253.65018
Parlett, B. N.; Poole, W. G. jun.
17
1973
Ergodic properties of populations. I: The one sex model. Zbl 0239.92007
Parlett, Beresford
17
1970
An implementation of the dqds algorithm (positive case). Zbl 0952.65031
Parlett, Beresford N.; Marques, Osni A.
16
2000
Use of indefinite pencils for computing damped natural modes. Zbl 0725.65055
Parlett, B. N.; Chen, H. C.
16
1990
How to implement the spectral transformation. Zbl 0638.65026
Nour-Omid, Bahram; Parlett, Beresford N.; Ericsson, Thomas; Jensen, Paul S.
15
1987
On estimating the largest eigenvalue with the Lanczos algorithm. Zbl 0476.65024
Parlett, B. N.; Simon, H.; Stringer, L. M.
15
1982
Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. Zbl 1165.65014
Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof
14
2008
Complex shift and invert strategies for real matrices. Zbl 0623.65045
Parlett, Beresford N.; Saad, Youcef
14
1987
How far should you go with the Lanczos process? Zbl 0345.65017
Kahan, W.; Parlett, B. N.
14
1976
On nonsymmetric saddle point matrices that allow conjugate gradient iterations. Zbl 1142.65032
Liesen, Jörg; Parlett, Beresford N.
13
2008
The design and implementation of the MRRR algorithm. Zbl 1230.65046
Dhillon, Inderjit S.; Parlett, Beresford N.; Vömel, Christof
13
2006
Methods for scaling to doubly stochastic form. Zbl 0508.15003
Parlett, B. N.; Landis, T. L.
13
1982
The use of a refined error bound when updating eigenvalues of tridiagonals. Zbl 0629.65037
Parlett, B. N.; Nour-Omid, B.
12
1985
Element preconditioning using splitting techniques. Zbl 0582.65019
Nour-Omid, B.; Parlett, B. N.
12
1985
Forward instability of tridiagonal QR. Zbl 0767.65031
Parlett, Beresford N.; Le, Jian
11
1993
Accurate computation of divided differences of the exponential function. Zbl 0561.65009
McCurdy, A.; Ng, K. C.; Parlett, B. N.
11
1984
Tracking the progress of the Lanczos algorithm for large symmetric eigenproblems. Zbl 0474.65022
Parlett, B. N.; Reid, J. K.
11
1981
On the convergence of a practical QR algorithm. Zbl 0195.45002
Parlett, B. N.; Kahan, W.
10
1969
Invariant subspaces for tightly clustered eigenvalues of tridiagonals. Zbl 0856.15009
Parlett, B. N.
9
1996
Refined interlacing properties. Zbl 0747.15004
Hill, R. O. jun.; Parlett, B. N.
9
1992
Block reflectors: Theory and computation. Zbl 0637.65017
Schreiber, Robert; Parlett, Beresford
9
1988
A new proof of global convergence for the tridiagonal QL algorithm. Zbl 0402.65019
Hoffmann, W.; Parlett, B. N.
9
1978
Accuracy and dissipation in difference schemes. Zbl 0173.44703
Parlett, B.
9
1966
The (matrix) discriminant as a determinant. Zbl 1018.15006
Parlett, Beresford N.
8
2002
Analysis of algorithms for reflections in bisectors. Zbl 0217.52606
Parlett, B. N.
8
1971
Matrices with prescribed Ritz values. Zbl 1141.15010
Parlett, Beresford; Strang, Gilbert
7
2008
The software scene in the extraction of eigenvalues from sparse matrices. Zbl 0573.65025
Parlett, B. N.
7
1984
The symmetric eigenvalue problem. Numerical methods. Zbl 0524.65023
Parlett, Beresford N.
7
1983
Canonical decomposition of Hessenberg matrices. Zbl 0159.20501
Parlett, B.
7
1967
Symmetric matrix pencils. Zbl 0772.15005
Parlett, Beresford N.
6
1991
The look ahead Lanczos algorithm for large unsymmetric eigenproblems. Zbl 0564.65021
Parlett, B. N.; Taylor, D. R.; Liu, Z.-S.
6
1984
The development and use of methods of LR type. Zbl 0242.65039
Parlett, Beresford
6
1964
A Newton-Lanczos method for solution of nonlinear finite element equations. Zbl 0499.73058
Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L.
5
1983
A fast solver free of fill-in for finite element problems. Zbl 0493.65045
Li, M. R.; Nour-Omid, B.; Parlett, B. N.
5
1982
Convergence of the QR algorithm. Zbl 0132.36301
Parlett, Beresford
5
1965
Detecting localization in an invariant subspace. Zbl 1232.15011
Vömel, Christof; Parlett, Beresford N.
4
2011
The transformation of second-order linear systems into independent equations. Zbl 1232.34060
Morzfeld, Matthias; Ma, Fai; Parlett, Beresford N.
4
2011
From qd to LR, or, how were the qd and LR algorithms discovered? Zbl 1222.65032
Gutknecht, Martin H.; Parlett, Beresford N.
4
2011
A result complementary to Geršgorin’s circle theorem. Zbl 1176.15025
Parlett, Beresford N.
4
2009
Misconvergence in the Lanczos algorithm. Zbl 0726.65032
Parlett, Beresford
4
1990
Winograd’s Fourier transform via circulants. Zbl 0515.65099
Parlett, B. N.
4
1982
Progress in numerical analysis. Zbl 0408.65002
Parlett, Beresford
4
1978
A program for computing the condition numbers of matrix eigenvalues without computing eigenvectors. Zbl 0353.65026
Chan, S. P.; Feldman, R.; Parlett, B. N.
4
1977
Correction to convergence of the QR algorithm. Zbl 0171.36004
Parlett, B.
4
1967
Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050
Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M.
3
2012
A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy. Zbl 1081.15005
Parlett, Beresford N.
3
2005
Spectral sensitivity of products of bidiagonals. Zbl 0933.15010
Parlett, Beresford N.
3
1998
Some basic information on information-based complexity theory. Zbl 0765.65042
Parlett, Beresford N.
3
1992
Towards a black box Lanczos program. Zbl 0798.65054
Parlett, Beresford N.; Nour-Omid, Bahram
3
1989
Eigenvector matrices of symmetric tridiagonals. Zbl 0542.15001
Parlett, B. N.; Wu, W.-D.
3
1984
Two monitoring schemes for the Lanczos algorithm. Zbl 0499.65017
Parlett, B. N.
3
1982
Diagonal scaling to an orthogonal matrix. Zbl 0498.65024
Berman, A.; Parlett, B. N.; Plemmons, R. J.
3
1981
Normal Hessenberg and moment matrices. Zbl 0251.15022
Parlett, Beresford
3
1973
The spectral diameter as a function of the diagonal entries. Zbl 1071.65539
Parlett, Beresford N.
2
2003
Explicit construction of hyperdominant symmetric matrices with assigned spectrum. Zbl 0878.15004
Kandić, Dragan B.; Parlett, Beresford; Reljin, Branimir D.; Vasić, Petar M.
2
1997
Implicit Cholesky algorithms for singular values and vectors of triangular matrices. Zbl 0841.65022
Fernando, K. Vince; Parlett, Beresford N.
2
1995
Do we fully understand the symmetric Lanczos algorithm yet? Zbl 1260.65018
Parlett, Beresford N.
2
1994
Comparison of Lanczos with conjugate gradient using element preconditioning. Zbl 0658.65034
Nour-Omid, B.; Parlett, B. N.; Raefsky, A.
2
1988
Accurate computation of the matrix exponential. Zbl 0677.65040
Parlett, B. N.; Ng, K. C.
2
1986
Effect of the CYBER 205 on the choice of method for solving the eigenvalue problem \((A-\lambda M)x=0\). Zbl 0635.65032
Natvig, J.; Nour-Omid, B.; Parlett, B. N.
2
1986
The influence of the compiler on the cost of mathematical software - in particular on the cost of triangular factorization. Zbl 0312.68017
Parlett, B. N.; Wang, Y.
2
1975
Singular and invariant matrices under the QR transformation. Zbl 0238.65018
Parlett, Beresford
2
1966
The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103
Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla
1
2016
An improved DQDS algorithm. Zbl 1297.65042
Li, Shengguo; Gu, Ming; Parlett, Beresford N.
1
2014
The spectrum of a glued matrix. Zbl 1187.15012
Parlett, Beresford N.; Vömel, Christof
1
2009
Convergence of LR algorithm for a one-point spectrum tridiagonal matrix. Zbl 1176.65040
Ferreira, Carla; Parlett, Beresford
1
2009
Computations of eigenpair subsets with the MRRR algorithm. Zbl 1174.65369
Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof
1
2006
Another orthogonal matrix. Zbl 1101.15026
Parlett, B. N.; Barszcz, E.
1
2006
Perturbation of eigenpairs of factored symmetric tridiagonal matrices. Zbl 1028.65027
Parlett, Beresford N.
1
2003
For tridiagonals \(T\) replace \(T\) with \(LDL\). Zbl 0970.65032
Parlett, Beresford N.
1
2000
Differential \(qd\) algorithms. Zbl 0794.65023
Vince Fernando, K.; Parlett, Beresford N.
1
1993
A note on communication analysis of parallel sparse Cholesky factorization on a hypercube. Zbl 0715.65017
Gao, Feng; Parlett, Beresford N.
1
1990
Block reflectors: Computation and applications. Zbl 0677.65039
Schreiber, Robert S.; Parlett, Beresford N.
1
1986
Presentation geométrique des méthodes de calcul des valeurs propres. Zbl 0255.65020
Parlett, B. N.
1
1973
A geometric theory for the QR, LU, and power iterations. Zbl 0227.65027
Parlett, B. N.; Poole, W. G. jun.
1
1972
Matrix eigenvalue problems. Zbl 0123.11302
Parlett, Beresford
1
1965
A note on La Budde’s algorithm. Zbl 0208.39902
Parlett, B.
1
1964
The inverse eigenvector problem for real tridiagonal matrices. Zbl 1338.65103
Parlett, Beresford; Dopico, Froilán M.; Ferreira, Carla
1
2016
An improved DQDS algorithm. Zbl 1297.65042
Li, Shengguo; Gu, Ming; Parlett, Beresford N.
1
2014
Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Zbl 1332.65050
Ferreira, Carla; Parlett, Beresford; Dopico, Froilán M.
3
2012
Detecting localization in an invariant subspace. Zbl 1232.15011
Vömel, Christof; Parlett, Beresford N.
4
2011
The transformation of second-order linear systems into independent equations. Zbl 1232.34060
Morzfeld, Matthias; Ma, Fai; Parlett, Beresford N.
4
2011
From qd to LR, or, how were the qd and LR algorithms discovered? Zbl 1222.65032
Gutknecht, Martin H.; Parlett, Beresford N.
4
2011
A result complementary to Geršgorin’s circle theorem. Zbl 1176.15025
Parlett, Beresford N.
4
2009
The spectrum of a glued matrix. Zbl 1187.15012
Parlett, Beresford N.; Vömel, Christof
1
2009
Convergence of LR algorithm for a one-point spectrum tridiagonal matrix. Zbl 1176.65040
Ferreira, Carla; Parlett, Beresford
1
2009
Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. Zbl 1165.65014
Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof
14
2008
On nonsymmetric saddle point matrices that allow conjugate gradient iterations. Zbl 1142.65032
Liesen, Jörg; Parlett, Beresford N.
13
2008
Matrices with prescribed Ritz values. Zbl 1141.15010
Parlett, Beresford; Strang, Gilbert
7
2008
The design and implementation of the MRRR algorithm. Zbl 1230.65046
Dhillon, Inderjit S.; Parlett, Beresford N.; Vömel, Christof
13
2006
Computations of eigenpair subsets with the MRRR algorithm. Zbl 1174.65369
Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof
1
2006
Another orthogonal matrix. Zbl 1101.15026
Parlett, B. N.; Barszcz, E.
1
2006
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
212
2005
A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy. Zbl 1081.15005
Parlett, Beresford N.
3
2005
Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices. Zbl 1055.65048
Dhillon, Inderjit S.; Parlett, Beresford N.
34
2004
Orthogonal eigenvectors and relative gaps. Zbl 1068.65046
Dhillon, Inderjit S.; Parlett, Beresford N.
24
2004
The spectral diameter as a function of the diagonal entries. Zbl 1071.65539
Parlett, Beresford N.
2
2003
Perturbation of eigenpairs of factored symmetric tridiagonal matrices. Zbl 1028.65027
Parlett, Beresford N.
1
2003
The (matrix) discriminant as a determinant. Zbl 1018.15006
Parlett, Beresford N.
8
2002
Relatively robust representations of symmetric tridiagonals. Zbl 0948.65026
Parlett, Beresford; Dhillon, Inderjit S.
18
2000
An implementation of the dqds algorithm (positive case). Zbl 0952.65031
Parlett, Beresford N.; Marques, Osni A.
16
2000
For tridiagonals \(T\) replace \(T\) with \(LDL\). Zbl 0970.65032
Parlett, Beresford N.
1
2000
The symmetric eigenvalue problem. Unabridged, corrected republication of 1980. Zbl 0885.65039
Parlett, Beresford N.
303
1998
Spectral sensitivity of products of bidiagonals. Zbl 0933.15010
Parlett, Beresford N.
3
1998
Fernando’s solution to Wilkinson’s problem: An application of double factorization. Zbl 0886.65033
Parlett, Beresford N.; Dhillon, Inderjit S.
17
1997
Explicit construction of hyperdominant symmetric matrices with assigned spectrum. Zbl 0878.15004
Kandić, Dragan B.; Parlett, Beresford; Reljin, Branimir D.; Vasić, Petar M.
2
1997
Invariant subspaces for tightly clustered eigenvalues of tridiagonals. Zbl 0856.15009
Parlett, B. N.
9
1996
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
84
1995
The new \(qd\) algorithms. Zbl 0835.65059
Parlett, Beresford N.
26
1995
Implicit Cholesky algorithms for singular values and vectors of triangular matrices. Zbl 0841.65022
Fernando, K. Vince; Parlett, Beresford N.
2
1995
Accurate singular values and differential qd algorithms. Zbl 0814.65036
Fernando, K. Vince; Parlett, Beresford N.
53
1994
Do we fully understand the symmetric Lanczos algorithm yet? Zbl 1260.65018
Parlett, Beresford N.
2
1994
Forward instability of tridiagonal QR. Zbl 0767.65031
Parlett, Beresford N.; Le, Jian
11
1993
Differential \(qd\) algorithms. Zbl 0794.65023
Vince Fernando, K.; Parlett, Beresford N.
1
1993
Reduction to tridiagonal form and minimal realizations. Zbl 0754.65040
Parlett, Beresford N.
39
1992
Refined interlacing properties. Zbl 0747.15004
Hill, R. O. jun.; Parlett, B. N.
9
1992
Some basic information on information-based complexity theory. Zbl 0765.65042
Parlett, Beresford N.
3
1992
Symmetric matrix pencils. Zbl 0772.15005
Parlett, Beresford N.
6
1991
Use of indefinite pencils for computing damped natural modes. Zbl 0725.65055
Parlett, B. N.; Chen, H. C.
16
1990
Misconvergence in the Lanczos algorithm. Zbl 0726.65032
Parlett, Beresford
4
1990
A note on communication analysis of parallel sparse Cholesky factorization on a hypercube. Zbl 0715.65017
Gao, Feng; Parlett, Beresford N.
1
1990
Towards a black box Lanczos program. Zbl 0798.65054
Parlett, Beresford N.; Nour-Omid, Bahram
3
1989
Block reflectors: Theory and computation. Zbl 0637.65017
Schreiber, Robert; Parlett, Beresford
9
1988
Comparison of Lanczos with conjugate gradient using element preconditioning. Zbl 0658.65034
Nour-Omid, B.; Parlett, B. N.; Raefsky, A.
2
1988
How to implement the spectral transformation. Zbl 0638.65026
Nour-Omid, Bahram; Parlett, Beresford N.; Ericsson, Thomas; Jensen, Paul S.
15
1987
Complex shift and invert strategies for real matrices. Zbl 0623.65045
Parlett, Beresford N.; Saad, Youcef
14
1987
Accurate computation of the matrix exponential. Zbl 0677.65040
Parlett, B. N.; Ng, K. C.
2
1986
Effect of the CYBER 205 on the choice of method for solving the eigenvalue problem \((A-\lambda M)x=0\). Zbl 0635.65032
Natvig, J.; Nour-Omid, B.; Parlett, B. N.
2
1986
Block reflectors: Computation and applications. Zbl 0677.65039
Schreiber, Robert S.; Parlett, Beresford N.
1
1986
A look-ahead Lanczos algorithm for unsymmetric matrices. Zbl 0564.65022
Parlett, Beresford N.; Taylor, Derek R.; Liu, Zhishun A.
91
1985
The use of a refined error bound when updating eigenvalues of tridiagonals. Zbl 0629.65037
Parlett, B. N.; Nour-Omid, B.
12
1985
Element preconditioning using splitting techniques. Zbl 0582.65019
Nour-Omid, B.; Parlett, B. N.
12
1985
Accurate computation of divided differences of the exponential function. Zbl 0561.65009
McCurdy, A.; Ng, K. C.; Parlett, B. N.
11
1984
The software scene in the extraction of eigenvalues from sparse matrices. Zbl 0573.65025
Parlett, B. N.
7
1984
The look ahead Lanczos algorithm for large unsymmetric eigenproblems. Zbl 0564.65021
Parlett, B. N.; Taylor, D. R.; Liu, Z.-S.
6
1984
Eigenvector matrices of symmetric tridiagonals. Zbl 0542.15001
Parlett, B. N.; Wu, W.-D.
3
1984
Lanczos versus subspace iteration for solution of eigenvalue problems. Zbl 0521.65024
Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L.
18
1983
The symmetric eigenvalue problem. Numerical methods. Zbl 0524.65023
Parlett, Beresford N.
7
1983
A Newton-Lanczos method for solution of nonlinear finite element equations. Zbl 0499.73058
Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L.
5
1983
Residual bounds on approximate eigensystems of nonnormal matrices. Zbl 0483.65024
Kahan, W.; Parlett, B. N.; Jiang, E.
35
1982
On estimating the largest eigenvalue with the Lanczos algorithm. Zbl 0476.65024
Parlett, B. N.; Simon, H.; Stringer, L. M.
15
1982
Methods for scaling to doubly stochastic form. Zbl 0508.15003
Parlett, B. N.; Landis, T. L.
13
1982
A fast solver free of fill-in for finite element problems. Zbl 0493.65045
Li, M. R.; Nour-Omid, B.; Parlett, B. N.
5
1982
Winograd’s Fourier transform via circulants. Zbl 0515.65099
Parlett, B. N.
4
1982
Two monitoring schemes for the Lanczos algorithm. Zbl 0499.65017
Parlett, B. N.
3
1982
Tracking the progress of the Lanczos algorithm for large symmetric eigenproblems. Zbl 0474.65022
Parlett, B. N.; Reid, J. K.
11
1981
Diagonal scaling to an orthogonal matrix. Zbl 0498.65024
Berman, A.; Parlett, B. N.; Plemmons, R. J.
3
1981
The symmetric eigenvalue problem. Zbl 0431.65017
Parlett, Beresford N.
564
1980
A new look at the Lanczos algorithm for solving symmetric systems of linear equations. Zbl 0431.65016
Parlett, B. N.
237
1980
The Lanczos algorithm with selective orthogonalization. Zbl 0405.65015
Parlett, B. N.; Scott, D. S.
55
1979
A new proof of global convergence for the tridiagonal QL algorithm. Zbl 0402.65019
Hoffmann, W.; Parlett, B. N.
9
1978
Progress in numerical analysis. Zbl 0408.65002
Parlett, Beresford
4
1978
A program for computing the condition numbers of matrix eigenvalues without computing eigenvectors. Zbl 0353.65026
Chan, S. P.; Feldman, R.; Parlett, B. N.
4
1977
Decomposition of a symmetric matrix. Zbl 0342.65026
Bunch, James R.; Kaufman, Linda; Parlett, Beresford N.
26
1976
A recurrence among the elements of functions of triangular matrices. Zbl 0353.65027
Parlett, B. N.
22
1976
How far should you go with the Lanczos process? Zbl 0345.65017
Kahan, 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 0312.68017
Parlett, B. N.; Wang, Y.
2
1975
The Rayleigh quotient iteration and some generalizations for nonnormal matrices. Zbl 0293.65023
Parlett, B. N.
38
1974
A geometric theory for the QR, LU, and power iterations. Zbl 0253.65018
Parlett, B. N.; Poole, W. G. jun.
17
1973
Normal Hessenberg and moment matrices. Zbl 0251.15022
Parlett, Beresford
3
1973
Presentation geométrique des méthodes de calcul des valeurs propres. Zbl 0255.65020
Parlett, B. N.
1
1973
A geometric theory for the QR, LU, and power iterations. Zbl 0227.65027
Parlett, B. N.; Poole, W. G. jun.
1
1972
Analysis of algorithms for reflections in bisectors. Zbl 0217.52606
Parlett, B. N.
8
1971
Direct methods for solving symmetric indefinite systems of linear equations. Zbl 0199.49802
Bunch, J. R.; Parlett, B. N.
50
1970
Ergodic properties of populations. I: The one sex model. Zbl 0239.92007
Parlett, Beresford
17
1970
Balancing a matrix for calculation of eigenvalues and eigenvectors. Zbl 0184.37703
Parlett, B. N.; Reinsch, C.
41
1969
On the convergence of a practical QR algorithm. Zbl 0195.45002
Parlett, B. N.; Kahan, W.
10
1969
Global convergence of the basic QR algorithm on Hessenberg matrices. Zbl 0184.37602
Parlett, B.
20
1968
Canonical decomposition of Hessenberg matrices. Zbl 0159.20501
Parlett, B.
7
1967
Correction to convergence of the QR algorithm. Zbl 0171.36004
Parlett, B.
4
1967
Accuracy and dissipation in difference schemes. Zbl 0173.44703
Parlett, B.
9
1966
Singular and invariant matrices under the QR transformation. Zbl 0238.65018
Parlett, Beresford
2
1966
Convergence of the QR algorithm. Zbl 0132.36301
Parlett, Beresford
5
1965
Matrix eigenvalue problems. Zbl 0123.11302
Parlett, Beresford
1
1965
Laguerre’s method applied to the matrix eigenvalue problem. Zbl 0124.33004
Parlett, B.
21
1964
The development and use of methods of LR type. Zbl 0242.65039
Parlett, Beresford
6
1964
A note on La Budde’s algorithm. Zbl 0208.39902
Parlett, B.
1
1964
all top 5

Cited by 2,169 Authors

33 Parlett, Beresford Neill
28 Zhang, Guofeng
22 Ma, Changfeng
20 Jia, Zhongxiao
19 Saad, Yousef
18 Liang, Zhao-Zheng
17 Golub, Gene Howard
17 Li, Rencang
16 Huang, Zhengge
16 Nakatsukasa, Yuji
15 Cui, Jingjing
14 Bai, Zhongzhi
14 Huang, Ting-Zhu
14 Lin, Wen-Wei
14 Vandebril, Raf
14 Xu, Zhong
13 Morgan, Ronald B.
13 Reichel, Lothar
13 Wu, Yujiang
13 Ye, Qiang
12 Aishima, Kensuke
12 Druskin, Vladimir
12 Van der Vorst, Henk Albertus
12 Wang, Ligong
12 Yang, Aili
11 Cao, Yang
11 Nakamura, Yoshimasa
11 Pan, Victor Yakovlevich
11 Van Barel, Marc
11 Van Dooren, Paul M.
10 Barlow, Jesse L.
10 Benner, Peter
10 Khojasteh Salkuyeh, Davod
10 Mehrmann, Volker
10 Nour-Omid, Bahram
10 Wu, Gang
10 Zhang, Lei-Hong
10 Zhang, Naimin
9 Dopico, Froilán M.
9 Gragg, William B.
9 Hochstenbach, Michiel E.
9 Knizhnerman, Leonid
9 Yamamoto, Yusaku
8 Brezinski, Claude
8 Chen, Guoliang
8 Dax, Achiya
8 Freund, Roland W.
8 Ibrahimbegović, Adnan
8 Iwasaki, Masashi
8 Miao, Cun-Qiang
8 Pini, Giorgio
8 Singer, Sanja
8 Sleijpen, Gerard L. G.
8 Strakoš, Zdeněk
8 Zheng, Qingqing
8 Zhou, Yunkai
7 Bergamaschi, Luca
7 Boley, Daniel L.
7 Bunse-Gerstner, Angelika
7 Chao, Zhen
7 Hari, Vjeran
7 Higham, Nicholas J.
7 Jiang, Erxiong
7 Kressner, Daniel
7 Lu, Linzhang
7 Mastronardi, Nicola
7 Meerbergen, Karl
7 Miao, Shu-Xin
7 Neymeyr, Klaus
7 Sadkane, Miloud
7 Sadok, Hassane
7 Slapničar, Ivan
7 Veselić, Krešimir
7 Zhang, Jianhua
7 Zheng, Bing
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 Gemignani, Luca
6 Huang, Rong
6 Knyazev, Andrew V.
6 Redivo-Zaglia, Michela
6 Román, Jose E.
6 Sartoretto, Flavio
6 Singer, Saša
6 Sorensen, Danny C.
6 Stathopoulos, Andreas
6 Tisseur, Françoise
6 Vömel, Christof
6 Wu, Shiliang
5 Bai, Zhaojun
5 Chien, Cheng-Sheng
5 Dai, Hua
5 Dongarra, Jack J.
5 Frommer, Andreas
5 Gambolati, Giuseppe
...and 2,069 more Authors
all top 5

Cited in 244 Serials

279 Linear Algebra and its Applications
156 Journal of Computational and Applied Mathematics
80 Numerical Algorithms
79 Applied Mathematics and Computation
67 Numerical Linear Algebra with Applications
64 Numerische Mathematik
59 BIT
56 Computers & Mathematics with Applications
52 Journal of Computational Physics
47 Mathematics of Computation
42 SIAM Journal on Matrix Analysis and Applications
40 Applied Numerical Mathematics
39 Computer Methods in Applied Mechanics and Engineering
39 International Journal for Numerical Methods in Engineering
30 Computer Physics Communications
28 SIAM Journal on Scientific Computing
22 International Journal of Computer Mathematics
19 Applied Mathematics Letters
16 Computing
13 Calcolo
13 Japan Journal of Industrial and Applied Mathematics
12 Journal of Scientific Computing
12 Computational and Applied Mathematics
11 East Asian Journal on Applied Mathematics
10 International Journal of Control
9 Journal of Optimization Theory and Applications
9 Mathematical Programming. Series A. Series B
9 Journal of Mathematical Sciences (New York)
8 Linear and Multilinear Algebra
8 Systems & Control Letters
8 Journal of Complexity
7 Numerical Functional Analysis and Optimization
7 SIAM Journal on Algebraic and Discrete Methods
7 Communications in Numerical Methods in Engineering
7 Mathematical Problems in Engineering
7 Parallel Algorithms and Applications
6 Automatica
6 SIAM Journal on Numerical Analysis
6 Computational Mechanics
6 Applied Mathematical Modelling
6 European Journal of Operational Research
6 Science China. Mathematics
5 Journal of Soviet Mathematics
5 Mathematical and Computer Modelling
5 SIAM Review
5 SIAM Journal on Optimization
5 Quantum Information Processing
4 Journal of Engineering Mathematics
4 Journal of Mathematical Analysis and Applications
4 Mathematical Biosciences
4 Physica D
4 Computational Optimization and Applications
4 ETNA. Electronic Transactions on Numerical Analysis
4 Advances in Computational Mathematics
3 Computers and Fluids
3 Discrete Applied Mathematics
3 International Journal of Systems Science
3 Journal of Mathematical Physics
3 Mathematical Notes
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 ACM Transactions on Mathematical Software
3 Integral Equations and Operator Theory
3 Journal of Statistical Planning and Inference
3 Mathematics and Computers in Simulation
3 Mathematical Programming
3 Acta Applicandae Mathematicae
3 Communications in Applied Numerical Methods
3 Science in China. Series A
3 Journal of Global Optimization
3 Pattern Recognition
3 Computational Statistics and Data Analysis
3 Cybernetics and Systems Analysis
3 Engineering Analysis with Boundary Elements
3 Mathematical Population Studies
3 Optimization Methods & Software
3 Archives of Computational Methods in Engineering
3 Foundations of Computational Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Acta Numerica
3 BIT. Nordisk Tidskrift for Informationsbehandling
3 Frontiers of Mathematics in China
3 Numerical Algebra, Control and Optimization
2 Bulletin of the Australian Mathematical Society
2 International Journal of Mathematical Education in Science and Technology
2 Inverse Problems
2 Theoretical and Mathematical Physics
2 Bulletin of Mathematical Biology
2 The Annals of Statistics
2 Journal of Differential Equations
2 The Journal of Mathematical Sociology
2 Kybernetika
2 Meccanica
2 Theoretical Population Biology
2 Circuits, Systems, and Signal Processing
2 Parallel Computing
2 Computers & Operations Research
2 COMPEL
2 Journal of Parallel and Distributed Computing
2 SIAM Journal on Applied Mathematics
...and 144 more Serials
all top 5

Cited in 51 Fields

1,398 Numerical analysis (65-XX)
405 Linear and multilinear algebra; matrix theory (15-XX)
105 Partial differential equations (35-XX)
102 Operations research, mathematical programming (90-XX)
95 Mechanics of deformable solids (74-XX)
62 Computer science (68-XX)
55 Systems theory; control (93-XX)
47 Quantum theory (81-XX)
45 Operator theory (47-XX)
43 Fluid mechanics (76-XX)
40 Ordinary differential equations (34-XX)
32 Approximations and expansions (41-XX)
30 Statistics (62-XX)
29 Dynamical systems and ergodic theory (37-XX)
28 Combinatorics (05-XX)
25 Probability theory and stochastic processes (60-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
22 Functions of a complex variable (30-XX)
22 Optics, electromagnetic theory (78-XX)
20 Biology and other natural sciences (92-XX)
18 Statistical mechanics, structure of matter (82-XX)
18 Information and communication theory, circuits (94-XX)
16 Mechanics of particles and systems (70-XX)
14 Real functions (26-XX)
14 Special functions (33-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
11 Field theory and polynomials (12-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Geophysics (86-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Group theory and generalizations (20-XX)
5 Topological groups, Lie groups (22-XX)
5 Differential geometry (53-XX)
4 Difference and functional equations (39-XX)
4 Integral equations (45-XX)
4 Functional analysis (46-XX)
3 Number theory (11-XX)
3 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

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