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Author ID: andrew.alan-l Recent zbMATH articles by "Andrew, Alan L."
Published as: Andrew, Alan L.; Andrew, A. L.; Andrew, Alan
Documents Indexed: 62 Publications since 1964
1 Contribution as Editor
Reviewing Activity: 348 Reviews
Co-Authors: 16 Co-Authors with 23 Joint Publications
294 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 604 times in 308 Documents Cited by Year
Eigenvectors of certain matrices. Zbl 0255.65021
Andrew, Alan L.
71
1973
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
63
1993
Correction of Numerov’s eigenvalue estimates. Zbl 0554.65060
Andrew, Alan L.; Paine, John W.
50
1985
Centrosymmetric matrices. Zbl 0918.15006
Andrew, Alan L.
44
1998
Correction of finite element estimates for Sturm-Liouville eigenvalues. Zbl 0588.65062
Andrew, Alan L.; Paine, John W.
32
1986
Solution of equations involving centrosymmetric matrices. Zbl 0261.65027
Andrew, A. L.
24
1973
Computing Sturm-Liouville potentials from two spectra. Zbl 1114.34011
Andrew, Alan L.
24
2006
Correction of finite difference eigenvalues of periodic Sturm-Liouville problems. Zbl 0676.65089
Andrew, Alan L.
23
1989
Asymptotic correction of Numerov’s eigenvalue estimates with natural boundary conditions. Zbl 0970.65086
Andrew, Alan L.
20
2000
Numerov’s method for inverse Sturm-Liouville problems. Zbl 1070.34018
Andrew, Alan L.
19
2005
Correction of finite element eigenvalues for problems with natural or periodic boundary conditions. Zbl 0646.65070
Andrew, Alan L.
18
1988
Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of symmetric matrix pencils. Zbl 0919.65026
Andrew, Alan L.; Tan, Roger C. E.
17
1998
Asymptotic correction of more Sturm-Liouville eigenvalue estimates. Zbl 1046.65065
Andrew, Alan L.
15
2003
Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0674.65014
Tan, Roger C. E.; Andrew, Alan L.
14
1989
Asymptotic correction of computed eigenvalues of differential equations. Zbl 0823.65080
Andrew, Alan L.
12
1994
Iterative computation of derivatives of eigenvalues and eigenvectors. Zbl 0443.65020
Andrew, A. L.
11
1979
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
11
1995
Computing derivatives of repeated eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems. Zbl 1286.65049
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
10
2013
Convergence of an iterative method for derivatives of eigensystems. Zbl 0374.65017
Andrew, A. L.
10
1978
Twenty years of asymptotic correction for eigenvalue computation. Zbl 0977.65098
Andrew, Alan L.
10
2000
Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1051.65039
Andrew, Alan L.; Tan, Roger C. E.
10
2000
Computation of derivatives of repeated eigenvalues and corresponding eigenvectors by simultaneous iteration. Zbl 0899.65015
Andrew, Alan L.; Tan, Roger C. E.
8
1996
Finite difference methods for half inverse Sturm-Liouville problems. Zbl 1231.65124
Andrew, Alan L.
8
2011
Error bounds for the modified Newton’s method. Zbl 0337.65034
Andrew, A. L.
7
1976
Eigenvalues and singular values of certain random matrices. Zbl 0699.65027
Andrew, Alan L.
6
1990
Numerical solution of inverse Sturm–Liouville problems. Zbl 1063.65551
Andrew, Alan L.
5
2004
Leighton’s bounds for Sturm-Liouville eigenvalues. Zbl 0477.65063
Andrew, Alan L.; de Hoog, Frank R.; Robb, Peter J.
4
1981
Asymptotic correction of Numerov’s eigenvalue estimates with general boundary conditions. Zbl 1078.65557
Andrew, Alan L.
4
2003
Iterative computation of second-order derivatives of eigenvalues and eigenvectors. Zbl 0795.65020
Tan, Roger C. E.; Andrew, Alan L.; Hong, Felicia M. L.
4
1994
Bounds and higher-order estimates for Sturm-Liouville eigenvalues. Zbl 0536.65066
Paine, John W.; Andrew, Alan L.
4
1983
Asymptotic correction and inverse eigenvalue problems: an overview. Zbl 1078.65558
Andrew, Alan L.
3
2005
Variational solution of some nonlinear eigenvalue problems. I. Zbl 0209.17501
Andrew, A. L.
3
1970
Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0944.65040
Andrew, Alan L.; Tan, Roger C. E.
3
1999
Henrici’s transformation and its application to the computation of derivatives of eigensystems. Zbl 0832.65037
Tan, Roger C. E.; Andrew, Alan L.
3
1995
Quadrature errors in finite element eigenvalue computations. Zbl 0964.65077
Andrew, Alan L.
3
2000
Solution of nonlinear and multiparameter eigenvalue problems. Zbl 0909.65028
Andrew, A. L.
3
1996
Further comments on ”On the eigenvectors of symmetric Toeplitz matrices”. Zbl 0619.15020
Andrew, A. L.
3
1985
Finite and continuous perturbations of matrix eigenvalues. Zbl 1070.15502
Andrew, A. L.
2
1998
Application of the Ritz method to non-standard eigenvalue problems. Zbl 0191.45501
Andrew, A. L.
2
1969
Variational solution of some nonlinear eigenvalue problems. II. Zbl 0213.16202
Andrew, Alan L.
2
1971
Eigenvalue problems with nonlinear dependence on the eigenvalue parameter. A bibliography. Zbl 0313.47007
2
1974
Methods for solving underdetermined systems. Zbl 1499.65101
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
2
2018
Inverse Sturm-Liouville problems: some recent developments. Zbl 1390.65054
Andrew, Alan
2
2010
Direct computation of derivatives of eigenvalues and eigenvectors. Zbl 0709.65030
Andrew, Alan L.; de Hoog, Frank R.; Tan, Roger C. E.
2
1990
The accuracy of Numerov’s method for eigenvalues. Zbl 0638.65069
Andrew, A. L.
2
1986
Efficient computation of higher Sturm-Liouville eigenvalues. Zbl 0657.65106
Andrew, Alan L.
2
1988
A note on the Ritz method with an application to overtone stellar pulsation theory. Zbl 0155.47002
Andrew, A. L.
1
1968
Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 0900.65096
Andrew, A. L.; Tan, R. C. E.
1
1996
Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter. Zbl 0757.65038
Andrew, Alan L.; Chu, K. W. Eric; Lancaster, Peter
1
1992
Iterative computation of higher derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1028.65025
Andrew, Alan L.; Tan, Roger C. E.
1
2002
Convergence of approximate operator methods for eigenvectors. Zbl 0257.65057
Andrew, A. L.
1
1970
Existence and uniqueness regions for solutions of nonlinear equations. Zbl 0395.47016
Andrew, A. L.
1
1978
Computation of higher Sturm-Liouville eigenvalues. Zbl 0535.65060
Andrew, Alan L.
1
1982
Methods for solving underdetermined systems. Zbl 1499.65101
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
2
2018
Computing derivatives of repeated eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems. Zbl 1286.65049
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
10
2013
Finite difference methods for half inverse Sturm-Liouville problems. Zbl 1231.65124
Andrew, Alan L.
8
2011
Inverse Sturm-Liouville problems: some recent developments. Zbl 1390.65054
Andrew, Alan
2
2010
Computing Sturm-Liouville potentials from two spectra. Zbl 1114.34011
Andrew, Alan L.
24
2006
Numerov’s method for inverse Sturm-Liouville problems. Zbl 1070.34018
Andrew, Alan L.
19
2005
Asymptotic correction and inverse eigenvalue problems: an overview. Zbl 1078.65558
Andrew, Alan L.
3
2005
Numerical solution of inverse Sturm–Liouville problems. Zbl 1063.65551
Andrew, Alan L.
5
2004
Asymptotic correction of more Sturm-Liouville eigenvalue estimates. Zbl 1046.65065
Andrew, Alan L.
15
2003
Asymptotic correction of Numerov’s eigenvalue estimates with general boundary conditions. Zbl 1078.65557
Andrew, Alan L.
4
2003
Iterative computation of higher derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1028.65025
Andrew, Alan L.; Tan, Roger C. E.
1
2002
Asymptotic correction of Numerov’s eigenvalue estimates with natural boundary conditions. Zbl 0970.65086
Andrew, Alan L.
20
2000
Twenty years of asymptotic correction for eigenvalue computation. Zbl 0977.65098
Andrew, Alan L.
10
2000
Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1051.65039
Andrew, Alan L.; Tan, Roger C. E.
10
2000
Quadrature errors in finite element eigenvalue computations. Zbl 0964.65077
Andrew, Alan L.
3
2000
Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0944.65040
Andrew, Alan L.; Tan, Roger C. E.
3
1999
Centrosymmetric matrices. Zbl 0918.15006
Andrew, Alan L.
44
1998
Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of symmetric matrix pencils. Zbl 0919.65026
Andrew, Alan L.; Tan, Roger C. E.
17
1998
Finite and continuous perturbations of matrix eigenvalues. Zbl 1070.15502
Andrew, A. L.
2
1998
Computation of derivatives of repeated eigenvalues and corresponding eigenvectors by simultaneous iteration. Zbl 0899.65015
Andrew, Alan L.; Tan, Roger C. E.
8
1996
Solution of nonlinear and multiparameter eigenvalue problems. Zbl 0909.65028
Andrew, A. L.
3
1996
Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 0900.65096
Andrew, A. L.; Tan, R. C. E.
1
1996
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
11
1995
Henrici’s transformation and its application to the computation of derivatives of eigensystems. Zbl 0832.65037
Tan, Roger C. E.; Andrew, Alan L.
3
1995
Asymptotic correction of computed eigenvalues of differential equations. Zbl 0823.65080
Andrew, Alan L.
12
1994
Iterative computation of second-order derivatives of eigenvalues and eigenvectors. Zbl 0795.65020
Tan, Roger C. E.; Andrew, Alan L.; Hong, Felicia M. L.
4
1994
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
63
1993
Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter. Zbl 0757.65038
Andrew, Alan L.; Chu, K. W. Eric; Lancaster, Peter
1
1992
Eigenvalues and singular values of certain random matrices. Zbl 0699.65027
Andrew, Alan L.
6
1990
Direct computation of derivatives of eigenvalues and eigenvectors. Zbl 0709.65030
Andrew, Alan L.; de Hoog, Frank R.; Tan, Roger C. E.
2
1990
Correction of finite difference eigenvalues of periodic Sturm-Liouville problems. Zbl 0676.65089
Andrew, Alan L.
23
1989
Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0674.65014
Tan, Roger C. E.; Andrew, Alan L.
14
1989
Correction of finite element eigenvalues for problems with natural or periodic boundary conditions. Zbl 0646.65070
Andrew, Alan L.
18
1988
Efficient computation of higher Sturm-Liouville eigenvalues. Zbl 0657.65106
Andrew, Alan L.
2
1988
Correction of finite element estimates for Sturm-Liouville eigenvalues. Zbl 0588.65062
Andrew, Alan L.; Paine, John W.
32
1986
The accuracy of Numerov’s method for eigenvalues. Zbl 0638.65069
Andrew, A. L.
2
1986
Correction of Numerov’s eigenvalue estimates. Zbl 0554.65060
Andrew, Alan L.; Paine, John W.
50
1985
Further comments on ”On the eigenvectors of symmetric Toeplitz matrices”. Zbl 0619.15020
Andrew, A. L.
3
1985
Bounds and higher-order estimates for Sturm-Liouville eigenvalues. Zbl 0536.65066
Paine, John W.; Andrew, Alan L.
4
1983
Computation of higher Sturm-Liouville eigenvalues. Zbl 0535.65060
Andrew, Alan L.
1
1982
Leighton’s bounds for Sturm-Liouville eigenvalues. Zbl 0477.65063
Andrew, Alan L.; de Hoog, Frank R.; Robb, Peter J.
4
1981
Iterative computation of derivatives of eigenvalues and eigenvectors. Zbl 0443.65020
Andrew, A. L.
11
1979
Convergence of an iterative method for derivatives of eigensystems. Zbl 0374.65017
Andrew, A. L.
10
1978
Existence and uniqueness regions for solutions of nonlinear equations. Zbl 0395.47016
Andrew, A. L.
1
1978
Error bounds for the modified Newton’s method. Zbl 0337.65034
Andrew, A. L.
7
1976
Eigenvalue problems with nonlinear dependence on the eigenvalue parameter. A bibliography. Zbl 0313.47007
2
1974
Eigenvectors of certain matrices. Zbl 0255.65021
Andrew, Alan L.
71
1973
Solution of equations involving centrosymmetric matrices. Zbl 0261.65027
Andrew, A. L.
24
1973
Variational solution of some nonlinear eigenvalue problems. II. Zbl 0213.16202
Andrew, Alan L.
2
1971
Variational solution of some nonlinear eigenvalue problems. I. Zbl 0209.17501
Andrew, A. L.
3
1970
Convergence of approximate operator methods for eigenvectors. Zbl 0257.65057
Andrew, A. L.
1
1970
Application of the Ritz method to non-standard eigenvalue problems. Zbl 0191.45501
Andrew, A. L.
2
1969
A note on the Ritz method with an application to overtone stellar pulsation theory. Zbl 0155.47002
Andrew, A. L.
1
1968
all top 5

Cited by 351 Authors

20 Andrew, Alan L.
16 Trench, William F.
12 Xie, Huiqing
10 Dai, Hua
10 Ma, Changfeng
10 Tan, Roger C. E.
10 Wang, Qingwen
9 Vanden Berghe, Guido
8 De Meyer, Hans E.
8 Huang, Guang-Xin
8 Yin, Feng
7 Gao, Qin
7 Liu, Zhongyun
6 Ghelardoni, Paolo
6 Tisseur, Françoise
5 Bockmann, Christine
5 Hajarian, Masoud
5 Xie, Yajun
4 Chafaï, Djalil
4 Jódar Sanchez, Lucas Antonio
4 Magherini, Cecilia
4 Melman, Aaron
4 Van Daele, Marnix
4 Wang, Pingxin
3 Boumenir, Amin A.
3 Çelik, İbrahim
3 Chang, Haixia
3 Cheng, Xiaoliang
3 Dagum, Estelle Bee
3 Dai, Lifang
3 de Hoog, Frank Robert
3 Guo, Ke
3 Huang, Na
3 Huang, Zhengda
3 Kammanee, Athassawat
3 Lancaster, Peter
3 Liang, Maolin
3 Lu, Xin
3 Luati, Alessandra
3 Marletta, Marco
3 Masuyama, Hiroyuki
3 Thome, Néstor
3 Xu, Shufang
2 Aceto, Lidia
2 Akbarpoor, Shahrbanoo
2 Alam, Rafikul
2 Almenar, Pedro
2 Amodio, Pierluigi
2 Anderssen, Robert Scott
2 Bordenave, Charles
2 Cao, Han-Dong
2 Chen, Hui-Jiong
2 Chen, Minhong
2 Chu, Delin
2 Chu, King-Wah Eric
2 El-Gamel, Mohamed
2 Faßbender, Heike
2 Gheri, Giovanni
2 Holladay, Kenneth W.
2 Hu, Yaping
2 Hu, Yingyao
2 Ikramov, Saidkhakim Dododshanovich
2 Jia, Zhigang
2 Kalantzis, Vassilis
2 Kressner, Daniel
2 Lebtahi, Leila
2 Lin, Chunyan
2 Liu, Chein-Shan
2 Lv, Changqing
2 Neamaty, Abdolali
2 Paine, John W.
2 Qian, Jiang
2 Romero, Oscar
2 Roselló, María Dolores
2 Santos, Paulo Sérgio M.
2 Settanni, Giuseppina
2 Solov’ëv, Sergeĭ Ivanovich
2 Somali, Sennur
2 Stechlinski, Peter G.
2 Teo, Kok Lay
2 Tian, Zhaolu
2 Veliev, Oktay Alish
2 Vu Kim Tuan
2 Wu, Baisheng
2 Xiang, Meiling
2 Xiao, Ruli
2 Xu, Wei-Wei
2 Xu, Zhonghai
2 Yamamoto, Tetsuro
2 Yılmaz, Emrah Sercan
2 Yuan, Yongxin
2 Zhang, Yulin
2 Zhao, Lijun
2 Zhao, Quanting
2 Žitňan, Peter
1 Abd El-Hady, M.
1 Adel, Waleed
1 Adhikari, Bibhas
1 Adiyaman, Meltem Evrenosoglu
1 Agarwal, Ravi P.
...and 251 more Authors
all top 5

Cited in 93 Serials

48 Linear Algebra and its Applications
35 Journal of Computational and Applied Mathematics
32 Applied Mathematics and Computation
11 Computers & Mathematics with Applications
9 Applied Numerical Mathematics
9 International Journal of Computer Mathematics
8 Numerische Mathematik
7 BIT
7 Applied Mathematical Modelling
6 Applied Mathematics Letters
6 SIAM Journal on Matrix Analysis and Applications
4 Journal of Mathematical Analysis and Applications
4 Mathematical and Computer Modelling
4 Numerical Algorithms
4 Communications in Numerical Methods in Engineering
3 Bulletin of the Australian Mathematical Society
3 Journal of Engineering Mathematics
3 Linear and Multilinear Algebra
3 Computing
3 Mathematics and Computers in Simulation
3 Computational and Applied Mathematics
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
3 Journal of Applied Mathematics
3 East Asian Journal on Applied Mathematics
2 Journal of Computational Physics
2 Mathematical Notes
2 International Journal for Numerical Methods in Engineering
2 Journal of Econometrics
2 Journal of Scientific Computing
2 Numerical Linear Algebra with Applications
2 ETNA. Electronic Transactions on Numerical Analysis
2 Communications in Nonlinear Science and Numerical Simulation
2 The ANZIAM Journal
2 Journal of Applied Mathematics and Computing
2 Journal of Industrial and Management Optimization
2 International Journal of Applied and Computational Mathematics
1 Advances in Applied Probability
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Inverse Problems
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Automatica
1 Journal of Functional Analysis
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Circuits, Systems, and Signal Processing
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Mathematicae Applicatae Sinica. English Series
1 Probability Theory and Related Fields
1 Journal of Theoretical Probability
1 Multidimensional Systems and Signal Processing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Review
1 Journal of Nonlinear Science
1 Computational Optimization and Applications
1 SIAM Journal on Scientific Computing
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Filomat
1 Journal of Nonparametric Statistics
1 Doklady Mathematics
1 Journal of Vibration and Control
1 Journal of Shanghai University
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Central European Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Acta Numerica
1 Boundary Value Problems
1 Inverse Problems in Science and Engineering
1 Acta Mathematica Sinica. Chinese Series
1 Probability Surveys
1 Journal of Mathematics and Computer Science. JMCS
1 Mathematical Sciences
1 Journal of Econometric Methods
1 Special Matrices
1 Open Mathematics
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Water Waves
1 Frontiers of Mathematics

Citations by Year