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Aitken, Alexander Craig

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Author ID: aitken.alexander-craig Recent zbMATH articles by "Aitken, Alexander Craig"
Published as: Aitken, A. C.; Aitken, Alexander C.; A. C. A.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 118 Publications since 1925, including 15 Books
Biographic References: 5 Publications
Co-Authors: 8 Co-Authors with 11 Joint Publications
34 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 701 times in 657 Documents Cited by Year
On Bernoulli’s numerical solution of algebraic equations. JFM 52.0098.05
Aitken, A. C.
145
1926
Determinants and matrices. Zbl 0022.10005
Aitken, A. C.
120
1939
An introduction to the theory of canonical matrices. Zbl 0005.19303
Turnbull, H. W.; Aitken, A. C.
62
1932
On least squares and linear combination of observations. Zbl 0011.26603
Aitken, A. C.
60
1935
An introduction to the theory of canonical matrices. Unabridged and corrected republ. of the third ed. 1952. Zbl 0096.00801
Turnbull, H. W.; Aitken, A. C.
38
1961
Determinants and matrices. JFM 65.1111.05
Aitken, A. C.
25
1939
The normal form of compound and induced matrices. Zbl 0010.29102
Aitken, A. C.
24
1934
On fourfold sampling with and without replacement. Zbl 0013.21405
Aitken, A. C.; Gonin, H. T.
20
1935
On least squares and linear combinations of observations. JFM 61.1300.05
Aitken, A. C.
18
1935
Studies in practical mathematics. II. The evaluation of the latent roots and latent vectors of a matrix. Zbl 0017.14701
Aitken, A. C.
16
1937
On interpolation by iteration of proportional parts, without the use of differences. Zbl 0005.02001
Aitken, A. C.
15
1932
Studies in practical mathematics. V: On the iterative solution of a system of linear equations. Zbl 0037.20804
Aitken, A. C.
14
1950
The monomial expansion of determinantal symmetric functions. Zbl 0063.00032
Aitken, A. C.
12
1943
Two notes on matrices. Zbl 0108.01501
Aitken, A. C.
10
1962
On the number of distinct terms in the expansion of symmetric and skew determinants. Zbl 0060.03106
Aitken, A. C.
9
1944
Studies in practical mathematics. I. The evaluation, with applications, of a certain triple product matrix. Zbl 0016.24102
Aitken, A. C.
7
1937
Studies in practical mathematics. II. The evaluation of the latent roots and the latent vectors of a matrix. JFM 63.1132.02
Aitken, A. C.
6
1937
Further numerical studies in algebraic equations and matrices. Zbl 0002.00703
Aitken, A. C.
6
1931
Note on dual symmetric functions. Zbl 0001.11408
Aitken, A. C.
6
1931
Determinants and matrices. 6. ed. Zbl 0033.00802
Aitken, A. C.
6
1949
On the independence of linear and quadratic forms in samples of normally distributed variates. Zbl 0027.23302
Aitken, A. C.
5
1940
On the Wishart distribution in statistics. Zbl 0033.07103
Aitken, A. C.
5
1949
On the theory of graduation. JFM 52.0525.03
Aitken, A. C.
4
1926
Note on selection from a multivariate normal population. Zbl 0010.40606
Aitken, A. C.
4
1935
A further note on multivariate selection. Zbl 0015.22004
Aitken, A. C.
4
1936
Determinants and matrices. 5. ed. Zbl 0030.29101
Aitken, A. C.
4
1948
On the statistical independence of quadratic forms in normal variates. Zbl 0037.08902
Aitken, A. C.
4
1950
On compound permutation matrices. Zbl 0063.00033
Aitken, A. C.
4
1946
The contributions of E. T. Whittaker to algebra and numerical analysis. Zbl 0083.24513
Aitken, A. C.
4
1958
An introduction to the theory of canonical matrices. JFM 58.0101.01
Turnbull, Herbert W.; Aitken, Alexander C.
3
1932
General formula of polynomial interpolation. JFM 55.0269.04
Aitken, A. C.
3
1929
Statistical mathematics. Zbl 0022.24804
Aitken, A. C.
3
1939
The normal form of compound and induced matrices. JFM 60.0878.01
Aitken, A. C.
2
1934
On determinants of symmetric functions. JFM 53.0076.03
Aitken, A. C.
2
1927
Determinanten und Matrizen. Übersetzung aus dem Englischen von Winfried Nilson. Zbl 0196.05301
Aitken, A. C.
2
1969
On the independence of linear and quadratic forms in samples of normally distributed variates. JFM 66.1305.05
Aitken, A. C.
2
1940
On the orthogonal polynomials in frequencies of type B. Zbl 0005.25605
Aitken, A. C.
2
1932
A problem in combinations. Zbl 0007.38907
Aitken, A. C.
2
1933
On induced permutation matrices and the symmetric group. Zbl 0015.24803
Aitken, A. C.
2
1936
On the estimation of many statistical parameters. Zbl 0031.17203
Aitken, A. C.
2
1948
Studies in practical mathematics. VI. On the factorization of polynomials by iterative methods. Zbl 0044.13001
Aitken, A. C.
2
1951
Studies in practical mathematics. VII. On the theory of methods of factorizing polynomials by iterated division. Zbl 0046.34701
Aitken, A. C.
2
1952
Studies in practical mathematics. IV: On linear approximation by least squares. Zbl 0061.26709
Aitken, A. C.
2
1945
Note on dual symmetric functions. JFM 57.0111.01
Aitken, A. C.
1
1931
Further numerical studies in algebraic equations and matrices. JFM 57.0679.05
Aitken, A. C.
1
1931
To catch the spirit. The memoir of A. C. Aitken with a biographical introduction by P. C. Fenton. Zbl 0924.01013
Aitken, A. C.
1
1995
Statistical mathematics. JFM 65.1350.05
Aitken, A. C.
1
1939
Note on a special persymmetric determinant. Zbl 0001.26302
Aitken, A. C.
1
1931
On the evaluation of determinants, the formation of their adjugate, and the practical solution of simultaneous linear equations. Zbl 0006.14702
Aitken, A. C.
1
1933
On fitting polynomial to weighted data by least squares. Zbl 0008.12306
Aitken, A. C.
1
1934
On fitting polynomials to data with weighted and correlated errors. Zbl 0008.12307
Aitken, A. C.
1
1934
On the canonical form of the singular matrix pencil. Zbl 0008.19401
Aitken, A. C.
1
1933
Studies in practical mathematics. III. The application of quadratic extrapolation to the evaluation of derivatives, and to inverse interpolation. Zbl 0019.13201
Aitken, A. C.
1
1938
Determinants and matrices. 7th ed. Zbl 0047.01803
Aitken, A. C.
1
1952
A note on trace-differentiation and the \(\Omega\)-operator. Zbl 0050.01007
Aitken, A. C.
1
1953
A note on inverse central factorial series. Zbl 0061.19902
Aitken, A. C.
1
1946
To catch the spirit. The memoir of A. C. Aitken with a biographical introduction by P. C. Fenton. Zbl 0924.01013
Aitken, A. C.
1
1995
Determinanten und Matrizen. Übersetzung aus dem Englischen von Winfried Nilson. Zbl 0196.05301
Aitken, A. C.
2
1969
Two notes on matrices. Zbl 0108.01501
Aitken, A. C.
10
1962
An introduction to the theory of canonical matrices. Unabridged and corrected republ. of the third ed. 1952. Zbl 0096.00801
Turnbull, H. W.; Aitken, A. C.
38
1961
The contributions of E. T. Whittaker to algebra and numerical analysis. Zbl 0083.24513
Aitken, A. C.
4
1958
A note on trace-differentiation and the \(\Omega\)-operator. Zbl 0050.01007
Aitken, A. C.
1
1953
Studies in practical mathematics. VII. On the theory of methods of factorizing polynomials by iterated division. Zbl 0046.34701
Aitken, A. C.
2
1952
Determinants and matrices. 7th ed. Zbl 0047.01803
Aitken, A. C.
1
1952
Studies in practical mathematics. VI. On the factorization of polynomials by iterative methods. Zbl 0044.13001
Aitken, A. C.
2
1951
Studies in practical mathematics. V: On the iterative solution of a system of linear equations. Zbl 0037.20804
Aitken, A. C.
14
1950
On the statistical independence of quadratic forms in normal variates. Zbl 0037.08902
Aitken, A. C.
4
1950
Determinants and matrices. 6. ed. Zbl 0033.00802
Aitken, A. C.
6
1949
On the Wishart distribution in statistics. Zbl 0033.07103
Aitken, A. C.
5
1949
Determinants and matrices. 5. ed. Zbl 0030.29101
Aitken, A. C.
4
1948
On the estimation of many statistical parameters. Zbl 0031.17203
Aitken, A. C.
2
1948
On compound permutation matrices. Zbl 0063.00033
Aitken, A. C.
4
1946
A note on inverse central factorial series. Zbl 0061.19902
Aitken, A. C.
1
1946
Studies in practical mathematics. IV: On linear approximation by least squares. Zbl 0061.26709
Aitken, A. C.
2
1945
On the number of distinct terms in the expansion of symmetric and skew determinants. Zbl 0060.03106
Aitken, A. C.
9
1944
The monomial expansion of determinantal symmetric functions. Zbl 0063.00032
Aitken, A. C.
12
1943
On the independence of linear and quadratic forms in samples of normally distributed variates. Zbl 0027.23302
Aitken, A. C.
5
1940
On the independence of linear and quadratic forms in samples of normally distributed variates. JFM 66.1305.05
Aitken, A. C.
2
1940
Determinants and matrices. Zbl 0022.10005
Aitken, A. C.
120
1939
Determinants and matrices. JFM 65.1111.05
Aitken, A. C.
25
1939
Statistical mathematics. Zbl 0022.24804
Aitken, A. C.
3
1939
Statistical mathematics. JFM 65.1350.05
Aitken, A. C.
1
1939
Studies in practical mathematics. III. The application of quadratic extrapolation to the evaluation of derivatives, and to inverse interpolation. Zbl 0019.13201
Aitken, A. C.
1
1938
Studies in practical mathematics. II. The evaluation of the latent roots and latent vectors of a matrix. Zbl 0017.14701
Aitken, A. C.
16
1937
Studies in practical mathematics. I. The evaluation, with applications, of a certain triple product matrix. Zbl 0016.24102
Aitken, A. C.
7
1937
Studies in practical mathematics. II. The evaluation of the latent roots and the latent vectors of a matrix. JFM 63.1132.02
Aitken, A. C.
6
1937
A further note on multivariate selection. Zbl 0015.22004
Aitken, A. C.
4
1936
On induced permutation matrices and the symmetric group. Zbl 0015.24803
Aitken, A. C.
2
1936
On least squares and linear combination of observations. Zbl 0011.26603
Aitken, A. C.
60
1935
On fourfold sampling with and without replacement. Zbl 0013.21405
Aitken, A. C.; Gonin, H. T.
20
1935
On least squares and linear combinations of observations. JFM 61.1300.05
Aitken, A. C.
18
1935
Note on selection from a multivariate normal population. Zbl 0010.40606
Aitken, A. C.
4
1935
The normal form of compound and induced matrices. Zbl 0010.29102
Aitken, A. C.
24
1934
The normal form of compound and induced matrices. JFM 60.0878.01
Aitken, A. C.
2
1934
On fitting polynomial to weighted data by least squares. Zbl 0008.12306
Aitken, A. C.
1
1934
On fitting polynomials to data with weighted and correlated errors. Zbl 0008.12307
Aitken, A. C.
1
1934
A problem in combinations. Zbl 0007.38907
Aitken, A. C.
2
1933
On the evaluation of determinants, the formation of their adjugate, and the practical solution of simultaneous linear equations. Zbl 0006.14702
Aitken, A. C.
1
1933
On the canonical form of the singular matrix pencil. Zbl 0008.19401
Aitken, A. C.
1
1933
An introduction to the theory of canonical matrices. Zbl 0005.19303
Turnbull, H. W.; Aitken, A. C.
62
1932
On interpolation by iteration of proportional parts, without the use of differences. Zbl 0005.02001
Aitken, A. C.
15
1932
An introduction to the theory of canonical matrices. JFM 58.0101.01
Turnbull, Herbert W.; Aitken, Alexander C.
3
1932
On the orthogonal polynomials in frequencies of type B. Zbl 0005.25605
Aitken, A. C.
2
1932
Further numerical studies in algebraic equations and matrices. Zbl 0002.00703
Aitken, A. C.
6
1931
Note on dual symmetric functions. Zbl 0001.11408
Aitken, A. C.
6
1931
Note on dual symmetric functions. JFM 57.0111.01
Aitken, A. C.
1
1931
Further numerical studies in algebraic equations and matrices. JFM 57.0679.05
Aitken, A. C.
1
1931
Note on a special persymmetric determinant. Zbl 0001.26302
Aitken, A. C.
1
1931
General formula of polynomial interpolation. JFM 55.0269.04
Aitken, A. C.
3
1929
On determinants of symmetric functions. JFM 53.0076.03
Aitken, A. C.
2
1927
On Bernoulli’s numerical solution of algebraic equations. JFM 52.0098.05
Aitken, A. C.
145
1926
On the theory of graduation. JFM 52.0525.03
Aitken, A. C.
4
1926
all top 5

Cited by 865 Authors

14 Hu, Xingbiao
14 McNicholas, Paul D.
13 Brezinski, Claude
12 Chang, Xiangke
12 Jamalizadeh, Ahad
12 Lin, Tsung I.
10 Browne, Ryan P.
9 Punzo, Antonio
7 He, Yi
7 Karcanias, Nicos
6 Graves-Morris, Peter R.
6 Ingrassia, Salvatore
6 Naderi, Mehrdad
6 Olkin, Ingram
6 Wang, Qingwen
6 Wang, Wan-Lun
6 Wynn, Peter
5 Kalogeropoulos, Grigoris I.
5 Marcus, Marvin D.
5 Redivo-Zaglia, Michela
4 Balakrishnan, Narayanaswamy
4 Basili, Roberta
4 Brualdi, Richard Anthony
4 Grau-Sánchez, Miquel
4 Homeier, Herbert H. H.
4 Iarrobino, Anthony A.
4 Kaçıranlar, Selahattin
4 Li, Shihao
4 Mühlbach, Günter W.
4 Searle, Shayle Robert
4 Weniger, Ernst Joachim
3 Ballantine, C. S.
3 Chang, Haixia
3 Chipman, John S.
3 Gasca, Mariano
3 Griffiths, Robert C.
3 Hashemi, Farzane
3 Hawkins, Thomas
3 Henderson, Harold V.
3 Hou, Xiang-Dong
3 Khatami, Leila
3 McFall, John D.
3 Minotti, Simona Caterina
3 Nambiar, K. K.
3 Norman, C. W.
3 Ogawa, Junjiro
3 Ostrovskii, Mikhail Iosifovich
3 Puntanen, Simo
3 Salam, Ahmed
3 Stanley, Richard Peter
3 Subedi, Sanjeena
3 Sun, Jianqing
3 Thukral, Rajinder
3 Vein, P. R.
3 Yamada, Hiroshi
2 Albrecht, Peter
2 Andrews, Jeffrey L.
2 Arabpour, Alireza
2 Bach, Francis R.
2 Barnett, Stephen
2 Bauer, Friedrich Ludwig
2 Bayramoğlu, Ismihan G.
2 Bekker, Andriëtte
2 Chan, Melody
2 Chen, Xiaomin
2 Costabile, Francesco Aldo
2 d’Aspremont, Alexandre
2 Dattatreya Rao, A. V.
2 Dawoud, Issam
2 de Terán, Fernando
2 Delahaye, Jean-Paul
2 Diaconis, Persi Warren
2 Drummond, J. E.
2 Dwyer, Paul S.
2 Farebrother, Richard William
2 Forrester, Peter J.
2 Freedman, Herbert Irving
2 Galántai, Aurél
2 Gauger, Michael A.
2 Glueck, Deborah H.
2 Guan, M. Z.
2 Gustafson, Karl Edwin
2 Gutiérrez, José Manuel
2 Harima, Tadahito
2 Herschend, Martin
2 Hershkowitz, Daniel
2 Hoggar, Stuart G.
2 Hopkins, Samuel Francis
2 Jaiman, Rajeev Kumar
2 Jankauskas, Jonas
2 Johnson, Charles Royal
2 Jun, Sung Jae
2 Karimpour-Fard, A.
2 Kim, Nam-Hwui
2 King, Richard F.
2 Krick, Teresa
2 Kuroda, Masahiro
2 Lascoux, Alain
2 Lee, Sharon X.
2 Lin, Chunyan
...and 765 more Authors
all top 5

Cited in 214 Serials

92 Linear Algebra and its Applications
24 Journal of Computational and Applied Mathematics
15 Psychometrika
15 Computational Statistics and Data Analysis
14 Linear and Multilinear Algebra
14 Mathematics of Computation
13 Numerical Algorithms
12 Applied Mathematics and Computation
12 Numerische Mathematik
11 Communications in Statistics. Theory and Methods
10 Journal of Mathematical Analysis and Applications
10 Annals of the Institute of Statistical Mathematics
9 Journal of Statistical Planning and Inference
8 Computers & Mathematics with Applications
8 Discrete Mathematics
8 Advances in Mathematics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Algebra
7 Transactions of the American Mathematical Society
7 Applied Numerical Mathematics
6 Computer Methods in Applied Mechanics and Engineering
6 Journal of the Franklin Institute
6 Calcolo
6 Journal of Approximation Theory
6 Proceedings of the American Mathematical Society
6 Statistics & Probability Letters
5 Journal of Mathematical Physics
5 International Journal for Numerical Methods in Engineering
5 Journal of Econometrics
5 Journal of Multivariate Analysis
5 European Journal of Combinatorics
5 Communications in Statistics. Simulation and Computation
5 Advances in Data Analysis and Classification. ADAC
4 Metrika
4 Journal of Pure and Applied Algebra
4 Mathematical and Computer Modelling
4 Computational Statistics
4 Econometric Theory
3 Archive for History of Exact Sciences
3 Communications in Mathematical Physics
3 Journal of Computational Physics
3 Acta Mathematica
3 Blätter (Deutsche Gesellschaft für Versicherungsmathematik)
3 Computing
3 Journal of Combinatorial Theory. Series A
3 Journal of Number Theory
3 Mathematische Zeitschrift
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Advances in Applied Mathematics
3 Circuits, Systems, and Signal Processing
3 Journal of Classification
3 Applied Mathematics Letters
3 Computational Mathematics and Modeling
3 Statistical Papers
3 Séminaire Lotharingien de Combinatoire
3 Journal of Applied Statistics
3 Statistical Modelling
3 Statistical Methods and Applications
3 BIT. Nordisk Tidskrift for Informationsbehandling
3 Statistics and Computing
2 Bulletin of the Australian Mathematical Society
2 The Canadian Journal of Statistics
2 Computers and Fluids
2 International Journal of Control
2 International Journal of Systems Science
2 Israel Journal of Mathematics
2 Journal of Statistical Physics
2 Mathematical Biosciences
2 Nonlinearity
2 Nuclear Physics. B
2 Reviews of Modern Physics
2 Ukrainian Mathematical Journal
2 Automatica
2 Information Sciences
2 International Statistical Review
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Journal of the Korean Mathematical Society
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Studies in Applied Mathematics
2 Trabajos de Estadistica y de Investigacion Operativa
2 Computational Mechanics
2 Journal of Scientific Computing
2 Machine Learning
2 Computational Mathematics and Mathematical Physics
2 Annals of Physics
2 Journal of Statistical Computation and Simulation
2 SIAM Review
2 Stochastic Processes and their Applications
2 Test
2 The Electronic Journal of Combinatorics
2 Transformation Groups
2 Australian & New Zealand Journal of Statistics
2 Acta Mathematica Sinica. English Series
2 Bulletin of the American Mathematical Society
2 Physical Review, II. Series
2 Journal of the Korean Statistical Society
2 SIAM Journal on Mathematics of Data Science
1 Acta Mathematica Academiae Scientiarum Hungaricae
...and 114 more Serials
all top 5

Cited in 54 Fields

162 Linear and multilinear algebra; matrix theory (15-XX)
159 Numerical analysis (65-XX)
157 Statistics (62-XX)
53 Combinatorics (05-XX)
25 Probability theory and stochastic processes (60-XX)
22 History and biography (01-XX)
22 Number theory (11-XX)
22 Approximations and expansions (41-XX)
19 Partial differential equations (35-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Ordinary differential equations (34-XX)
16 Special functions (33-XX)
15 Commutative algebra (13-XX)
15 Sequences, series, summability (40-XX)
15 Computer science (68-XX)
15 Mechanics of deformable solids (74-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Group theory and generalizations (20-XX)
13 Operator theory (47-XX)
13 Fluid mechanics (76-XX)
12 Algebraic geometry (14-XX)
11 Systems theory; control (93-XX)
10 Associative rings and algebras (16-XX)
10 Real functions (26-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Operations research, mathematical programming (90-XX)
7 Functional analysis (46-XX)
6 Functions of a complex variable (30-XX)
6 Difference and functional equations (39-XX)
6 Biology and other natural sciences (92-XX)
5 Convex and discrete geometry (52-XX)
5 Quantum theory (81-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Information and communication theory, circuits (94-XX)
4 Field theory and polynomials (12-XX)
4 Nonassociative rings and algebras (17-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Geometry (51-XX)
3 Geophysics (86-XX)
2 Mathematical logic and foundations (03-XX)
2 \(K\)-theory (19-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral equations (45-XX)
2 Differential geometry (53-XX)
2 Mechanics of particles and systems (70-XX)
2 Optics, electromagnetic theory (78-XX)
2 Mathematics education (97-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Integral transforms, operational calculus (44-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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