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Aitken, Alexander Craig (b. 1895 d. 1967)

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

43 Publications have been cited 525 times in 502 Documents Cited by Year
Determinants and matrices. Zbl 0022.10005
Aitken, A. C.
129
1939
On least squares and linear combination of observations. Zbl 0011.26603
Aitken, A. C.
68
1935
An introduction to the theory of canonical matrices. Zbl 0005.19303
Turnbull, H. W.; Aitken, A. C.
64
1932
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.
41
1961
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
Studies in practical mathematics. II. The evaluation of the latent roots and latent vectors of a matrix. Zbl 0017.14701
Aitken, A. C.
19
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.
15
1950
The monomial expansion of determinantal symmetric functions. Zbl 0063.00032
Aitken, A. C.
15
1943
Two notes on matrices. Zbl 0108.01501
Aitken, A. C.
11
1962
On the number of distinct terms in the expansion of symmetric and skew determinants. Zbl 0060.03106
Aitken, A. C.
10
1944
Note on dual symmetric functions. Zbl 0001.11408
Aitken, A. C.
7
1931
Studies in practical mathematics. I. The evaluation, with applications, of a certain triple product matrix. Zbl 0016.24102
Aitken, A. C.
7
1937
Further numerical studies in algebraic equations and matrices. Zbl 0002.00703
Aitken, A. C.
6
1931
Statistical mathematics. Zbl 0022.24804
Aitken, A. C.
6
1939
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.
6
1949
Note on selection from a multivariate normal population. Zbl 0010.40606
Aitken, A. C.
5
1935
On the independence of linear and quadratic forms in samples of normally distributed variates. Zbl 0027.23302
Aitken, A. C.
5
1940
A further note on multivariate selection. Zbl 0015.22004
Aitken, A. C.
4
1936
On the statistical independence of quadratic forms in normal variates. Zbl 0037.08902
Aitken, A. C.
4
1950
Determinants and matrices. 5th ed. Zbl 0030.29101
Aitken, A. C.
4
1948
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
Determinanten und Matrizen. Übersetzung aus dem Englischen von Winfried Nilson. Zbl 0196.05301
Aitken, A. C.
2
1969
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
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 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
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 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
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.
11
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.
41
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.
15
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.
6
1949
Determinants and matrices. 5th 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.
10
1944
The monomial expansion of determinantal symmetric functions. Zbl 0063.00032
Aitken, A. C.
15
1943
On the independence of linear and quadratic forms in samples of normally distributed variates. Zbl 0027.23302
Aitken, A. C.
5
1940
Determinants and matrices. Zbl 0022.10005
Aitken, A. C.
129
1939
Statistical mathematics. Zbl 0022.24804
Aitken, A. C.
6
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.
19
1937
Studies in practical mathematics. I. The evaluation, with applications, of a certain triple product matrix. Zbl 0016.24102
Aitken, A. C.
7
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.
68
1935
On fourfold sampling with and without replacement. Zbl 0013.21405
Aitken, A. C.; Gonin, H. T.
20
1935
Note on selection from a multivariate normal population. Zbl 0010.40606
Aitken, A. C.
5
1935
The normal form of compound and induced matrices. Zbl 0010.29102
Aitken, A. C.
24
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.
64
1932
On interpolation by iteration of proportional parts, without the use of differences. Zbl 0005.02001
Aitken, A. C.
15
1932
On the orthogonal polynomials in frequencies of type B. Zbl 0005.25605
Aitken, A. C.
2
1932
Note on dual symmetric functions. Zbl 0001.11408
Aitken, A. C.
7
1931
Further numerical studies in algebraic equations and matrices. Zbl 0002.00703
Aitken, A. C.
6
1931
Note on a special persymmetric determinant. Zbl 0001.26302
Aitken, A. C.
1
1931
all top 5

Cited by 664 Authors

7 Karcanias, Nicos
6 Brezinski, Claude
6 Chang, Xiangke
6 Wang, Qingwen
5 Graves-Morris, Peter R.
5 Hu, Xingbiao
5 Kalogeropoulos, Grigoris I.
5 Marcus, Marvin D.
5 Olkin, Ingram
5 Wynn, Peter
4 Basili, Roberta
4 Brualdi, Richard Anthony
4 Iarrobino, Anthony A.
4 Mühlbach, Günter W.
4 Searle, Shayle Robert
3 Balakrishnan, Narayanaswamy
3 Ballantine, C. S.
3 Chang, Haixia
3 Chipman, John S.
3 Forrester, Peter J.
3 Gasca, Mariano
3 Griffiths, Robert C.
3 Hawkins, Thomas
3 Henderson, Harold V.
3 Hou, Xiang-Dong
3 Khatami, Leila
3 McFall, John D.
3 Morales, Alejandro Henry
3 Nambiar, K. K.
3 Norman, C. W.
3 Ogawa, Junjiro
3 Ostrovskii, Mikhail Iosifovich
3 Puntanen, Simo
3 Redivo-Zaglia, Michela
3 Salam, Ahmed
3 Stanley, Richard Peter
3 Vein, P. R.
2 Agresti, Alan
2 Albrecht, Peter
2 Barnett, Stephen
2 Bauer, Friedrich Ludwig
2 Bayramoğlu, Ismihan G.
2 Chan, Melody
2 Coulier, Pieter
2 Dattatreya Rao, A. V.
2 de Terán, Fernando
2 Degrande, Geert
2 Diaconis, Persi Warren
2 Dwyer, Paul S.
2 Edelman, Alan Stuart
2 Farebrother, Richard William
2 François, Stijn
2 Freedman, Herbert Irving
2 Galántai, Aurél
2 Garver, Alexander
2 Gauger, Michael A.
2 Glueck, Deborah H.
2 Grosser, Stefan
2 Gustafson, Karl Edwin
2 Harima, Tadahito
2 Herschend, Martin
2 Hershkowitz, Daniel
2 Hoggar, Stuart G.
2 Hopkins, Samuel Francis
2 Johnson, Charles Royal
2 Jun, Sung Jae
2 Kaçıranlar, Selahattin
2 Karimpour-Fard, A.
2 Krick, Teresa
2 Lascoux, Alain
2 Li, Shihao
2 Lin, Chunyan
2 Lord, Frederic Mather
2 Mackey, D. Steven
2 Matherne, Jacob P.
2 Mechenov, Alexander S.
2 Meredith, William
2 Mitrouli, Marilena
2 Muller, Keith E.
2 Neta, Beny
2 Ostrowski, Alexander Markovich
2 Pak, Igor
2 Pflueger, Nathan
2 Pinkse, Joris
2 Pipes, Louis A.
2 Portmann, Walter O.
2 Pukelsheim, Friedrich
2 Saff, Edward Barry
2 Sakamoto, Heihachi
2 Schäfer, Michael
2 Schneider, Hans
2 Senhadji, M. N.
2 Smith, Cedric A. B.
2 Sternel, Dörte C.
2 Stewart, Gilbert Wright
2 Stong, Richard A.
2 Wang, Stuart Sui-Sheng
2 Watanabe, Junzo
2 Weaver, James R.
1 Ahmavaara, Yrjö
...and 564 more Authors
all top 5

Cited in 184 Serials

90 Linear Algebra and its Applications
18 Journal of Computational and Applied Mathematics
14 Linear and Multilinear Algebra
13 Psychometrika
8 Discrete Mathematics
8 Journal of Mathematical Analysis and Applications
8 Annals of the Institute of Statistical Mathematics
8 Numerische Mathematik
7 Mathematics of Computation
7 Advances in Mathematics
7 Applied Mathematics and Computation
7 Journal of Algebra
7 Communications in Statistics. Theory and Methods
6 Journal of the Franklin Institute
6 Journal of Approximation Theory
6 Journal of Statistical Planning and Inference
6 Transactions of the American Mathematical Society
6 Statistics & Probability Letters
5 Metrika
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Journal of Econometrics
5 Proceedings of the American Mathematical Society
5 Numerical Algorithms
4 Computers & Mathematics with Applications
4 International Journal for Numerical Methods in Engineering
4 Journal of Multivariate Analysis
4 European Journal of Combinatorics
4 Mathematical and Computer Modelling
4 Annals of Physics
3 Archive for History of Exact Sciences
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Mathematical Physics
3 Automatica
3 Blätter (Deutsche Gesellschaft für Versicherungsmathematik)
3 Calcolo
3 Journal of Combinatorial Theory. Series A
3 Journal of Number Theory
3 Journal of Pure and Applied Algebra
3 Mathematische Zeitschrift
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Circuits, Systems, and Signal Processing
3 Computational Mathematics and Modeling
3 Communications in Statistics. Simulation and Computation
3 The Electronic Journal of Combinatorics
3 Séminaire Lotharingien de Combinatoire
3 Transformation Groups
3 Journal of Applied Statistics
3 Econometric Theory
2 International Journal of Control
2 International Journal of Systems Science
2 Journal of Statistical Physics
2 Mathematical Biosciences
2 Nuclear Physics. B
2 Reviews of Modern Physics
2 Ukrainian Mathematical Journal
2 Biometrical Journal
2 Computing
2 Information Sciences
2 Integral Equations and Operator Theory
2 International Statistical Review
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Studies in Applied Mathematics
2 Computational Mechanics
2 SIAM Journal on Discrete Mathematics
2 Stochastic Processes and their Applications
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 Random Matrices: Theory and Applications
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 The Canadian Journal of Statistics
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 General Relativity and Gravitation
1 International Journal of Mathematical Education in Science and Technology
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Letters in Mathematical Physics
1 The Mathematical Gazette
1 Physica A
1 Physics of Fluids
1 Physics Letters. A
1 Scandinavian Journal of Statistics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Chaos, Solitons and Fractals
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Annals of Human Genetics
1 Annales de l’Institut Fourier
1 The Annals of Statistics
...and 84 more Serials
all top 5

Cited in 53 Fields

158 Linear and multilinear algebra; matrix theory (15-XX)
99 Statistics (62-XX)
94 Numerical analysis (65-XX)
52 Combinatorics (05-XX)
22 Probability theory and stochastic processes (60-XX)
18 History and biography (01-XX)
17 Approximations and expansions (41-XX)
16 Number theory (11-XX)
15 Commutative algebra (13-XX)
14 Ordinary differential equations (34-XX)
13 Group theory and generalizations (20-XX)
13 Dynamical systems and ergodic theory (37-XX)
13 Mechanics of deformable solids (74-XX)
12 Algebraic geometry (14-XX)
12 Operator theory (47-XX)
12 Systems theory; control (93-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Special functions (33-XX)
10 Computer science (68-XX)
9 Associative rings and algebras (16-XX)
9 Partial differential equations (35-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Quantum theory (81-XX)
7 Real functions (26-XX)
7 Biology and other natural sciences (92-XX)
6 Functions of a complex variable (30-XX)
6 Sequences, series, summability (40-XX)
6 Functional analysis (46-XX)
5 Nonassociative rings and algebras (17-XX)
5 Convex and discrete geometry (52-XX)
5 Fluid mechanics (76-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Operations research, mathematical programming (90-XX)
4 Information and communication theory, circuits (94-XX)
3 Field theory and polynomials (12-XX)
3 Difference and functional equations (39-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Geometry (51-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Mathematical logic and foundations (03-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year

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