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## Andrew, Alan L.

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 Author ID: andrew.alan-l Published as: Andrew, A. L.; Andrew, Alan; Andrew, Alan L.
 Documents Indexed: 63 Publications since 1964, including 1 Book Reviewing Activity: 346 Reviews
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#### Co-Authors

 40 single-authored 14 Tan, Roger C. E. 3 Lancaster, Peter 3 Paine, John W. 2 Chu, Delin 2 Chu, King-Wah Eric 2 de Hoog, Frank Robert 2 Qian, Jiang 1 Chu, K. E. 1 Elton, G. C. 1 Foo, Pek-Hui 1 Hong, Felicia M. L. 1 Morris, Sidney A. 1 Protomastro, Gerard P. 1 Robb, Peter J. 1 Stacey, Peter J. 1 Wächter, Markus
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#### Serials

 7 The ANZIAM Journal 5 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Analysis and Applications 3 BIT 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Matrix Analysis and Applications 2 Inverse Problems 2 Numerische Mathematik 2 Applied Mathematics Letters 2 Communications in Numerical Methods in Engineering 2 Numerical Linear Algebra with Applications 2 Journal of the Australian Mathematical Society 1 AIAA Journal 1 IMA Journal of Numerical Analysis 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Computational Physics 1 Journal of the Institute of Mathematics and its Applications 1 The Mathematical Gazette 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Computation 1 The Australian Mathematical Society Gazette 1 Computing 1 Technometrics 1 IEEE Transactions on Acoustics, Speech, and Signal Processing 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 SIAM Review 1 Annals of Numerical Mathematics
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#### Fields

 56 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

53 Publications have been cited 555 times in 268 Documents Cited by Year
Eigenvectors of certain matrices. Zbl 0255.65021
Andrew, Alan L.
1973
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
1993
Correction of Numerov’s eigenvalue estimates. Zbl 0554.65060
Andrew, Alan L.; Paine, John W.
1985
Centrosymmetric matrices. Zbl 0918.15006
Andrew, Alan L.
1998
Correction of finite element estimates for Sturm-Liouville eigenvalues. Zbl 0588.65062
Andrew, Alan L.; Paine, John W.
1986
Solution of equations involving centrosymmetric matrices. Zbl 0261.65027
Andrew, A. L.
1973
Computing Sturm-Liouville potentials from two spectra. Zbl 1114.34011
Andrew, Alan L.
2006
Correction of finite difference eigenvalues of periodic Sturm-Liouville problems. Zbl 0676.65089
Andrew, Alan L.
1989
Asymptotic correction of Numerov’s eigenvalue estimates with natural boundary conditions. Zbl 0970.65086
Andrew, Alan L.
2000
Correction of finite element eigenvalues for problems with natural or periodic boundary conditions. Zbl 0646.65070
Andrew, Alan L.
1988
Numerov’s method for inverse Sturm-Liouville problems. Zbl 1070.34018
Andrew, Alan L.
2005
Asymptotic correction of more Sturm-Liouville eigenvalue estimates. Zbl 1046.65065
Andrew, Alan L.
2003
Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of symmetric matrix pencils. Zbl 0919.65026
Andrew, Alan L.; Tan, Roger C. E.
1998
Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0674.65014
Tan, Roger C. E.; Andrew, Alan L.
1989
Asymptotic correction of computed eigenvalues of differential equations. Zbl 0823.65080
Andrew, Alan L.
1994
Efficient computation of higher Sturm-Liouville eigenvalues. Zbl 0657.65106
Andrew, Alan L.
1988
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.
2013
Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1051.65039
Andrew, Alan L.; Tan, Roger C. E.
2000
Twenty years of asymptotic correction for eigenvalue computation. Zbl 0977.65098
Andrew, Alan L.
2000
Iterative computation of derivatives of eigenvalues and eigenvectors. Zbl 0443.65020
Andrew, A. L.
1979
Convergence of an iterative method for derivatives of eigensystems. Zbl 0374.65017
Andrew, A. L.
1978
Computation of derivatives of repeated eigenvalues and corresponding eigenvectors by simultaneous iteration. Zbl 0899.65015
Andrew, Alan L.; Tan, Roger C. E.
1996
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
1995
Finite difference methods for half inverse Sturm-Liouville problems. Zbl 1231.65124
Andrew, Alan L.
2011
Eigenvalues and singular values of certain random matrices. Zbl 0699.65027
Andrew, Alan L.
1990
Error bounds for the modified Newton’s method. Zbl 0337.65034
Andrew, A. L.
1976
Numerical solution of inverse Sturm–Liouville problems. Zbl 1063.65551
Andrew, Alan L.
2004
Asymptotic correction of Numerov’s eigenvalue estimates with general boundary conditions. Zbl 1078.65557
Andrew, Alan L.
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.
1994
Bounds and higher-order estimates for Sturm-Liouville eigenvalues. Zbl 0536.65066
Paine, John W.; Andrew, Alan L.
1983
Leighton’s bounds for Sturm-Liouville eigenvalues. Zbl 0477.65063
Andrew, Alan L.; de Hoog, Frank R.; Robb, Peter J.
1981
Quadrature errors in finite element eigenvalue computations. Zbl 0964.65077
Andrew, Alan L.
2000
Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0944.65040
Andrew, Alan L.; Tan, Roger C. E.
1999
Solution of nonlinear and multiparameter eigenvalue problems. Zbl 0909.65028
Andrew, A. L.
1996
Henrici’s transformation and its application to the computation of derivatives of eigensystems. Zbl 0832.65037
Tan, Roger C. E.; Andrew, Alan L.
1995
Further comments on ”On the eigenvectors of symmetric Toeplitz matrices”. Zbl 0619.15020
Andrew, A. L.
1985
Computation of higher Sturm-Liouville eigenvalues. Zbl 0535.65060
Andrew, Alan L.
1982
Variational solution of some nonlinear eigenvalue problems. I. Zbl 0209.17501
Andrew, A. L.
1970
Inverse Sturm-Liouville problems: some recent developments. Zbl 1390.65054
Andrew, Alan
2010
Asymptotic correction and inverse eigenvalue problems: an overview. Zbl 1078.65558
Andrew, Alan L.
2005
Finite and continuous perturbations of matrix eigenvalues. Zbl 1070.15502
Andrew, A. L.
1998
Direct computation of derivatives of eigenvalues and eigenvectors. Zbl 0709.65030
Andrew, Alan L.; de Hoog, Frank R.; Tan, Roger C. E.
1990
The accuracy of Numerov’s method for eigenvalues. Zbl 0638.65069
Andrew, A. L.
1986
Eigenvalue problems with nonlinear dependence on the eigenvalue parameter. A bibliography. Zbl 0313.47007
Andrew, A. L. (ed.)
1974
Variational solution of some nonlinear eigenvalue problems. II. Zbl 0213.16202
Andrew, Alan L.
1971
Application of the Ritz method to non-standard eigenvalue problems. Zbl 0191.45501
Andrew, A. L.
1969
Methods for solving underdetermined systems. Zbl 06861601
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
2018
Iterative computation of higher derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1028.65025
Andrew, Alan L.; Tan, Roger C. E.
2002
Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 0900.65096
Andrew, A. L.; Tan, R. C. E.
1996
Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter. Zbl 0757.65038
Andrew, Alan L.; Chu, K. W. Eric; Lancaster, Peter
1992
Existence and uniqueness regions for solutions of nonlinear equations. Zbl 0395.47016
Andrew, A. L.
1978
Convergence of approximate operator methods for eigenvectors. Zbl 0257.65057
Andrew, A. L.
1970
A note on the Ritz method with an application to overtone stellar pulsation theory. Zbl 0155.47002
Andrew, A. L.
1968
Methods for solving underdetermined systems. Zbl 06861601
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
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.
2013
Finite difference methods for half inverse Sturm-Liouville problems. Zbl 1231.65124
Andrew, Alan L.
2011
Inverse Sturm-Liouville problems: some recent developments. Zbl 1390.65054
Andrew, Alan
2010
Computing Sturm-Liouville potentials from two spectra. Zbl 1114.34011
Andrew, Alan L.
2006
Numerov’s method for inverse Sturm-Liouville problems. Zbl 1070.34018
Andrew, Alan L.
2005
Asymptotic correction and inverse eigenvalue problems: an overview. Zbl 1078.65558
Andrew, Alan L.
2005
Numerical solution of inverse Sturm–Liouville problems. Zbl 1063.65551
Andrew, Alan L.
2004
Asymptotic correction of more Sturm-Liouville eigenvalue estimates. Zbl 1046.65065
Andrew, Alan L.
2003
Asymptotic correction of Numerov’s eigenvalue estimates with general boundary conditions. Zbl 1078.65557
Andrew, Alan L.
2003
Iterative computation of higher derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1028.65025
Andrew, Alan L.; Tan, Roger C. E.
2002
Asymptotic correction of Numerov’s eigenvalue estimates with natural boundary conditions. Zbl 0970.65086
Andrew, Alan L.
2000
Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 1051.65039
Andrew, Alan L.; Tan, Roger C. E.
2000
Twenty years of asymptotic correction for eigenvalue computation. Zbl 0977.65098
Andrew, Alan L.
2000
Quadrature errors in finite element eigenvalue computations. Zbl 0964.65077
Andrew, Alan L.
2000
Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0944.65040
Andrew, Alan L.; Tan, Roger C. E.
1999
Centrosymmetric matrices. Zbl 0918.15006
Andrew, Alan L.
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.
1998
Finite and continuous perturbations of matrix eigenvalues. Zbl 1070.15502
Andrew, A. L.
1998
Computation of derivatives of repeated eigenvalues and corresponding eigenvectors by simultaneous iteration. Zbl 0899.65015
Andrew, Alan L.; Tan, Roger C. E.
1996
Solution of nonlinear and multiparameter eigenvalue problems. Zbl 0909.65028
Andrew, A. L.
1996
Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Zbl 0900.65096
Andrew, A. L.; Tan, R. C. E.
1996
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
1995
Henrici’s transformation and its application to the computation of derivatives of eigensystems. Zbl 0832.65037
Tan, Roger C. E.; Andrew, Alan L.
1995
Asymptotic correction of computed eigenvalues of differential equations. Zbl 0823.65080
Andrew, Alan L.
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.
1994
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
1993
Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter. Zbl 0757.65038
Andrew, Alan L.; Chu, K. W. Eric; Lancaster, Peter
1992
Eigenvalues and singular values of certain random matrices. Zbl 0699.65027
Andrew, Alan L.
1990
Direct computation of derivatives of eigenvalues and eigenvectors. Zbl 0709.65030
Andrew, Alan L.; de Hoog, Frank R.; Tan, Roger C. E.
1990
Correction of finite difference eigenvalues of periodic Sturm-Liouville problems. Zbl 0676.65089
Andrew, Alan L.
1989
Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration. Zbl 0674.65014
Tan, Roger C. E.; Andrew, Alan L.
1989
Correction of finite element eigenvalues for problems with natural or periodic boundary conditions. Zbl 0646.65070
Andrew, Alan L.
1988
Efficient computation of higher Sturm-Liouville eigenvalues. Zbl 0657.65106
Andrew, Alan L.
1988
Correction of finite element estimates for Sturm-Liouville eigenvalues. Zbl 0588.65062
Andrew, Alan L.; Paine, John W.
1986
The accuracy of Numerov’s method for eigenvalues. Zbl 0638.65069
Andrew, A. L.
1986
Correction of Numerov’s eigenvalue estimates. Zbl 0554.65060
Andrew, Alan L.; Paine, John W.
1985
Further comments on ”On the eigenvectors of symmetric Toeplitz matrices”. Zbl 0619.15020
Andrew, A. L.
1985
Bounds and higher-order estimates for Sturm-Liouville eigenvalues. Zbl 0536.65066
Paine, John W.; Andrew, Alan L.
1983
Computation of higher Sturm-Liouville eigenvalues. Zbl 0535.65060
Andrew, Alan L.
1982
Leighton’s bounds for Sturm-Liouville eigenvalues. Zbl 0477.65063
Andrew, Alan L.; de Hoog, Frank R.; Robb, Peter J.
1981
Iterative computation of derivatives of eigenvalues and eigenvectors. Zbl 0443.65020
Andrew, A. L.
1979
Convergence of an iterative method for derivatives of eigensystems. Zbl 0374.65017
Andrew, A. L.
1978
Existence and uniqueness regions for solutions of nonlinear equations. Zbl 0395.47016
Andrew, A. L.
1978
Error bounds for the modified Newton’s method. Zbl 0337.65034
Andrew, A. L.
1976
Eigenvalue problems with nonlinear dependence on the eigenvalue parameter. A bibliography. Zbl 0313.47007
Andrew, A. L. (ed.)
1974
Eigenvectors of certain matrices. Zbl 0255.65021
Andrew, Alan L.
1973
Solution of equations involving centrosymmetric matrices. Zbl 0261.65027
Andrew, A. L.
1973
Variational solution of some nonlinear eigenvalue problems. II. Zbl 0213.16202
Andrew, Alan L.
1971
Variational solution of some nonlinear eigenvalue problems. I. Zbl 0209.17501
Andrew, A. L.
1970
Convergence of approximate operator methods for eigenvectors. Zbl 0257.65057
Andrew, A. L.
1970
Application of the Ritz method to non-standard eigenvalue problems. Zbl 0191.45501
Andrew, A. L.
1969
A note on the Ritz method with an application to overtone stellar pulsation theory. Zbl 0155.47002
Andrew, A. L.
1968
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#### Cited by 304 Authors

 20 Andrew, Alan L. 16 Trench, William F. 12 Xie, Huiqing 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 Dai, Hua 7 Liu, Zhongyun 6 Gao, Qin 6 Ghelardoni, Paolo 6 Tisseur, Françoise 5 Bockmann, Christine 5 Hajarian, Masoud 5 Ma, Changfeng 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 Xu, Shufang 2 Aceto, Lidia 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 Chu, Delin 2 Chu, King-Wah Eric 2 Faßbender, Heike 2 Gheri, Giovanni 2 Holladay, Kenneth W. 2 Hu, Xiyan 2 Hu, Yaping 2 Hu, Yingyao 2 Ikramov, Saidkhakim Dododshanovich 2 Jia, Zhigang 2 Kalantzis, Vassilis 2 Kressner, Daniel 2 Lin, Chunyan 2 Paine, John W. 2 Qian, Jiang 2 Roselló, María Dolores 2 Settanni, Giuseppina 2 Solov’ëv, Sergeĭ Ivanovich 2 Somali, Sennur 2 Teo, Kok Lay 2 Thome, Néstor 2 Veliev, Oktay Alish 2 Vu Kim Tuan 2 Wu, Baisheng 2 Xiao, Ruli 2 Xie, Yajun 2 Xu, Wei-Wei 2 Xu, Zhonghai 2 Yamamoto, Tetsuro 2 Yuan, Yongxin 2 Zhang, Lei 2 Zhang, Yulin 2 Zhao, Quanting 2 Žitňan, Peter 1 Adhikari, Bibhas 1 Adiyaman, Meltem Evrenosoglu 1 Agarwal, Ravi P. 1 Akbarpoor, Shahrbanoo 1 Al-Ammari, Maha 1 Altundağ, H. 1 Åström, Kalle 1 Baillon, Jean-Bernard 1 Ben-Artzi, Matania 1 Benchiboun, M. D. 1 Betcke, Timo 1 Butler, Paul 1 Cadenas, Carlos E. 1 Cai, Yunfeng 1 Cantoni, Antonio 1 Caputo, Pietro 1 Castillo, Jose Luis ...and 204 more Authors
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#### Cited in 78 Serials

 44 Linear Algebra and its Applications 35 Journal of Computational and Applied Mathematics 31 Applied Mathematics and Computation 11 Computers & Mathematics with Applications 9 Applied Numerical Mathematics 8 Numerische Mathematik 7 BIT 7 International Journal of Computer Mathematics 6 Applied Mathematics Letters 6 Applied Mathematical Modelling 4 Journal of Mathematical Analysis and Applications 4 Mathematical and Computer Modelling 4 SIAM Journal on Matrix Analysis and Applications 4 Communications in Numerical Methods in Engineering 3 Bulletin of the Australian Mathematical Society 3 Journal of Engineering Mathematics 3 Computing 3 Mathematical Problems in Engineering 3 Abstract and Applied Analysis 2 Journal of Computational Physics 2 International Journal for Numerical Methods in Engineering 2 Journal of Econometrics 2 Mathematics and Computers in Simulation 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 The ANZIAM Journal 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Journal of Industrial and Management Optimization 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 Linear and Multilinear Algebra 1 Mathematical Notes 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Journal of Functional Analysis 1 Journal of Multivariate Analysis 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 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 Numerical Algorithms 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 ETNA. Electronic Transactions on Numerical Analysis 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 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Probability Surveys 1 Journal of Mathematics and Computer Science. JMCS 1 East Asian Journal on Applied Mathematics 1 Journal of Econometric Methods 1 Special Matrices 1 International Journal of Applied and Computational Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Water Waves
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#### Cited in 30 Fields

 189 Numerical analysis (65-XX) 114 Linear and multilinear algebra; matrix theory (15-XX) 74 Ordinary differential equations (34-XX) 8 Probability theory and stochastic processes (60-XX) 8 Statistics (62-XX) 7 Partial differential equations (35-XX) 7 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Fluid mechanics (76-XX) 2 Associative rings and algebras (16-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)