×

Greville, Thomas Nall Eden

Author ID: greville.thomas-nall-eden Recent zbMATH articles by "Greville, Thomas Nall Eden"
Published as: Greville, T. N. E.; Greville, Thomas N. E.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 62 Publications since 1933, including 3 Books
2 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 8 Co-Authors with 16 Joint Publications
162 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 2,480 times in 2,232 Documents Cited by Year
Generalized inverses. Theory and applications. 2nd ed. Zbl 1026.15004
Ben-Israel, Adi; Greville, Thomas N. E.
2003
Generalized inverses: theory and applications. Zbl 0305.15001
Ben-Israel, Adi; Greville, Thomas N. E.
659
1974
Note on the generalized inverse of a matrix product. Zbl 0143.26303
Greville, T. N. E.
128
1966
A Drazin inverse for rectangular matrices. Zbl 0433.15002
Cline, Randall E.; Greville, T. N. E.
91
1980
Some applications of the pseudoinverse of a matrix. Zbl 0168.13303
Greville, T. N. E.
84
1960
Introduction to spline functions. Zbl 0215.17601
Greville, T. N. E.
70
1969
Generalized inverses: Theory and applications. Zbl 0451.15004
Ben-Israel, Adi; Greville, Thomas N. E.
45
1980
Numerical procedures for interpolations by spline functions. Zbl 0141.33602
Greville, T. N. E.
42
1964
Solutions of the matrix equation XAX=X, and relations between oblique and orthogonal projectors. Zbl 0288.15018
Greville, T. N. E.
37
1974
The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations. Zbl 0123.11202
Greville, T. N. E.
33
1959
Mathematical methods for digital computers. Vol. 2. Zbl 0183.18601
Ralston, A.; Wilf, H. S.
32
1967
The Souriau-Frame algorithm and the Drazin pseudoinverse. Zbl 0247.15004
Greville, T. N. E.
28
1973
On stability of linear smoothing formulas. Zbl 0233.65006
Greville, T. N. E.
14
1966
Band matrices with Toeplitz inverses. Zbl 0428.15002
Greville, T. N. E.; Trench, William F.
13
1979
Toeplitz matrices with Toeplitz inverses revisited. Zbl 0522.15012
Greville, T. N. E.
12
1983
Erratum: Generalized inverse of a matrix product. Zbl 0163.27902
Greville, T. N. E.
10
1967
Moving-weighted-average smoothing extended to the extremities of the data. I: Theory. Zbl 0469.65005
Greville, T. N. E.
9
1981
On smoothing a finite table: A matrix approach. Zbl 0080.36102
Greville, T. N. E.
9
1957
Note on fitting of functions of several independent variables. Zbl 0168.14902
Greville, T. N. E.
9
1961
Some new generalized inverses with spectral properties. Zbl 0227.15004
Greville, T. N. E.
9
1969
Spline functions in numerical analysis. Zbl 0312.65007
Greville, T. N. E.
9
1973
An extension of the generalized inverse of a matrix. Zbl 0236.15010
Cline, Randall E.; Greville, T. N. E.
8
1970
Moving-weighted-average smoothing extended to the extremities of the data. II: Methods. Zbl 0498.65006
Greville, T. N. E.
7
1981
Table for third-degree spline interpolation with equally space arguments. Zbl 0194.47103
Greville, T. N. E.
7
1970
Acturial note: Adjusted average graduation formulas of maximum smoothness. Zbl 0032.21503
Greville, T. N. E.
6
1947
The spline interpolation of sequences satisfying a linear recurrence relation. Zbl 0332.41004
Greville, T. N. E.; Schoenberg, I. J.; Sharma, A.
5
1976
On a problem concerning band matrices with Toeplitz inverses. Zbl 0409.15012
Greville, T. N. E.
5
1979
The general theory of osculatory interpolation. Zbl 0063.01743
Greville, Thomas N. E.
4
1944
Moving-weighted-average smoothing extended to the extremities of the data. III. Stability and optimal properties. Zbl 0484.65010
Greville, T. N. E.
3
1981
Short methods of constructing abridged life tables. Zbl 0060.31905
Greville, T. N. E.
3
1943
Laws of mortality which satisfy a uniform seniority principle. Zbl 0071.13904
Greville, T. N. E.
3
1956
The frequency distribution of a general matching problem. Zbl 0026.33001
Greville, T. N. E.
3
1941
On a problem of E. L. De Forest in iterated smoothing. Zbl 0252.41023
Greville, T. N. E.
3
1974
Backward population projection by a generalized inverse. Zbl 0291.92036
Greville, T. N. E.; Keyfitz, Nathan
3
1974
Bounds for eigenvalues of Hermitian Trench matrices. Zbl 0439.15010
Greville, T. N. E.
3
1980
A generalization of Waring’s formula. Zbl 0060.21301
Greville, T. N. E.
2
1944
Tables of coefficients in adjusted average graduation formulas of maximum smoothness. Zbl 0036.08304
Greville, T. N. E.
2
1948
Theory and applications of spline functions. Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison October 7-9, 1968. Zbl 0187.31002
1
1969
Invariance of the admissibility of numbers under certain general types of transformations. Zbl 0025.19501
Greville, T. N. E.
1
1939
Mortality tables analyzed by cause of death. Zbl 0037.09602
Greville, Thomas N. E.
1
1948
Remark on the article “On a class of distributions that approach the normal distribution function” by George B. Dantzig. Zbl 0038.28901
Greville, T. N. E.
1
1950
Recent developments in graduation and interpolation. Zbl 0041.46801
Greville, Thomas N. E.
1
1948
Generalized inverses. Theory and applications. 2nd ed. Zbl 1026.15004
Ben-Israel, Adi; Greville, Thomas N. E.
2003
Toeplitz matrices with Toeplitz inverses revisited. Zbl 0522.15012
Greville, T. N. E.
12
1983
Moving-weighted-average smoothing extended to the extremities of the data. I: Theory. Zbl 0469.65005
Greville, T. N. E.
9
1981
Moving-weighted-average smoothing extended to the extremities of the data. II: Methods. Zbl 0498.65006
Greville, T. N. E.
7
1981
Moving-weighted-average smoothing extended to the extremities of the data. III. Stability and optimal properties. Zbl 0484.65010
Greville, T. N. E.
3
1981
A Drazin inverse for rectangular matrices. Zbl 0433.15002
Cline, Randall E.; Greville, T. N. E.
91
1980
Generalized inverses: Theory and applications. Zbl 0451.15004
Ben-Israel, Adi; Greville, Thomas N. E.
45
1980
Bounds for eigenvalues of Hermitian Trench matrices. Zbl 0439.15010
Greville, T. N. E.
3
1980
Band matrices with Toeplitz inverses. Zbl 0428.15002
Greville, T. N. E.; Trench, William F.
13
1979
On a problem concerning band matrices with Toeplitz inverses. Zbl 0409.15012
Greville, T. N. E.
5
1979
The spline interpolation of sequences satisfying a linear recurrence relation. Zbl 0332.41004
Greville, T. N. E.; Schoenberg, I. J.; Sharma, A.
5
1976
Generalized inverses: theory and applications. Zbl 0305.15001
Ben-Israel, Adi; Greville, Thomas N. E.
659
1974
Solutions of the matrix equation XAX=X, and relations between oblique and orthogonal projectors. Zbl 0288.15018
Greville, T. N. E.
37
1974
On a problem of E. L. De Forest in iterated smoothing. Zbl 0252.41023
Greville, T. N. E.
3
1974
Backward population projection by a generalized inverse. Zbl 0291.92036
Greville, T. N. E.; Keyfitz, Nathan
3
1974
The Souriau-Frame algorithm and the Drazin pseudoinverse. Zbl 0247.15004
Greville, T. N. E.
28
1973
Spline functions in numerical analysis. Zbl 0312.65007
Greville, T. N. E.
9
1973
An extension of the generalized inverse of a matrix. Zbl 0236.15010
Cline, Randall E.; Greville, T. N. E.
8
1970
Table for third-degree spline interpolation with equally space arguments. Zbl 0194.47103
Greville, T. N. E.
7
1970
Introduction to spline functions. Zbl 0215.17601
Greville, T. N. E.
70
1969
Some new generalized inverses with spectral properties. Zbl 0227.15004
Greville, T. N. E.
9
1969
Theory and applications of spline functions. Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison October 7-9, 1968. Zbl 0187.31002
1
1969
Mathematical methods for digital computers. Vol. 2. Zbl 0183.18601
Ralston, A.; Wilf, H. S.
32
1967
Erratum: Generalized inverse of a matrix product. Zbl 0163.27902
Greville, T. N. E.
10
1967
Note on the generalized inverse of a matrix product. Zbl 0143.26303
Greville, T. N. E.
128
1966
On stability of linear smoothing formulas. Zbl 0233.65006
Greville, T. N. E.
14
1966
Numerical procedures for interpolations by spline functions. Zbl 0141.33602
Greville, T. N. E.
42
1964
Note on fitting of functions of several independent variables. Zbl 0168.14902
Greville, T. N. E.
9
1961
Some applications of the pseudoinverse of a matrix. Zbl 0168.13303
Greville, T. N. E.
84
1960
The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations. Zbl 0123.11202
Greville, T. N. E.
33
1959
On smoothing a finite table: A matrix approach. Zbl 0080.36102
Greville, T. N. E.
9
1957
Laws of mortality which satisfy a uniform seniority principle. Zbl 0071.13904
Greville, T. N. E.
3
1956
Remark on the article “On a class of distributions that approach the normal distribution function” by George B. Dantzig. Zbl 0038.28901
Greville, T. N. E.
1
1950
Tables of coefficients in adjusted average graduation formulas of maximum smoothness. Zbl 0036.08304
Greville, T. N. E.
2
1948
Mortality tables analyzed by cause of death. Zbl 0037.09602
Greville, Thomas N. E.
1
1948
Recent developments in graduation and interpolation. Zbl 0041.46801
Greville, Thomas N. E.
1
1948
Acturial note: Adjusted average graduation formulas of maximum smoothness. Zbl 0032.21503
Greville, T. N. E.
6
1947
The general theory of osculatory interpolation. Zbl 0063.01743
Greville, Thomas N. E.
4
1944
A generalization of Waring’s formula. Zbl 0060.21301
Greville, T. N. E.
2
1944
Short methods of constructing abridged life tables. Zbl 0060.31905
Greville, T. N. E.
3
1943
The frequency distribution of a general matching problem. Zbl 0026.33001
Greville, T. N. E.
3
1941
Invariance of the admissibility of numbers under certain general types of transformations. Zbl 0025.19501
Greville, T. N. E.
1
1939
all top 5

Cited by 2,209 Authors

84 Wei, Yimin
75 Mosić, Dijana
74 Stanimirović, Predrag S.
40 Thome, Néstor
39 Sivakumar, Koratti Chengalrayan
38 Đorđević, Dragan S.
38 Liu, Xiaoji
36 Tian, Yongge
33 Yuan, Yongxin
32 Chen, Jianlong
32 Cvetković-Ilić, Dragana S.
31 Trenkler, Götz
25 Šimon Hilscher, Roman
24 Deng, Chunyuan
22 Bapat, Ravindra Bhalchandra
22 Hartwig, Robert E.
21 Baksalary, Oskar Maria
20 Zheng, Bing
18 Corach, Gustavo
18 Neumann, Michael
18 Xiong, Zhiping
17 Chen, Guoliang
17 Katsikis, Vasilios N.
17 Wei, Musheng
16 Ma, Haifeng
16 Mishra, Debasisha
15 Maestripieri, Alejandra L.
15 Šepitka, Peter
15 Zuo, Kezheng
14 Benítez Lopez, Julio
14 Chen, Alatancang
14 Soleymani, Fazlollah
13 Baksalary, Jerzy K.
13 Huang, Junjie
13 Kyrchei, Ivan I.
13 Wei, Junchao
13 Yang, Hu
13 Yu, Yaoming
12 Diao, Huaian
12 Lovass-Nagy, Victor
12 Sheng, Xingping
12 Wang, Guorong
12 Wang, Qingwen
11 Chen, Yonglin
11 Dinčić, Nebojša Č.
11 Jain, Surender Kumar
11 Notay, Yvan
11 Xu, Zhaoliang
11 Yuan, Shifang
10 Argyros, Ioannis Konstantinos
10 Bu, Changjiang
10 Ferreyra, David Eduardo
10 Ji, Jun
10 Pappas, Dimitrios
10 Qin, Yingying
10 Trench, William F.
9 Arias, M. Laura
9 Behera, Ratikanta
9 Cao, Chongguang
9 Gross, Jürgen
9 Huang, Qianglian
9 Lebtahi, Leila
9 Patrício, Pedro
9 Petković, Marko D.
9 Robinson, Donald W.
9 Wang, Hongxing
9 Werner, Hans-Joachim
8 Ben-Israel, Adi
8 Greville, Thomas Nall Eden
8 Gupta, Dharmendra Kumar
8 Howlett, Phil G.
8 Meng, Lingsheng
8 Powers, David L.
8 Puystjens, Roland
8 Styan, George P. H.
8 Tasić, Milan B.
8 Zhou, Mengmeng
7 Drazin, Michael P.
7 Gonzalez, María Celeste
7 Hall, Frank J.
7 Koliha, Jerry J.
7 Lattanzi, Marina Beatriz
7 Liu, Yonghui
7 Malik, Saroj B.
7 Martínez-Serrano, M. F.
7 Mary, Xavier
7 Miladinović, Marko B.
7 Nashed, M. Zuhair
7 Qiao, Sanzheng
7 Rakić, Dragan S.
7 Rakočević, Vladimir
7 Sahoo, Jajati Keshari
7 Srivastava, Shwetabh
7 Udwadia, Firdaus E.
7 Wu, Cang
7 Wu, Hebing
7 Zeidan, Vera Michel
6 Antezana, Jorge
6 Boĭchuk, Oleksandr Andriĭovych
6 Catral, Minerva
...and 2,109 more Authors
all top 5

Cited in 374 Serials

384 Linear Algebra and its Applications
257 Applied Mathematics and Computation
93 Linear and Multilinear Algebra
67 Journal of Computational and Applied Mathematics
51 Journal of Mathematical Analysis and Applications
40 Filomat
37 Journal of Applied Mathematics and Computing
33 Computers & Mathematics with Applications
31 Journal of Approximation Theory
24 Computational and Applied Mathematics
23 International Journal of Control
23 Journal of Optimization Theory and Applications
21 Numerische Mathematik
19 Calcolo
16 Applied Mathematics Letters
16 ELA. The Electronic Journal of Linear Algebra
16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
15 Computer Methods in Applied Mechanics and Engineering
15 Automatica
15 Mathematical Problems in Engineering
14 Communications in Algebra
14 BIT
14 International Journal of Computer Mathematics
13 Numerical Algorithms
13 Aequationes Mathematicae
13 Journal of Algebra and its Applications
13 Mediterranean Journal of Mathematics
12 Mathematics of Computation
12 SIAM Journal on Matrix Analysis and Applications
12 Special Matrices
11 Journal of the Franklin Institute
11 Proceedings of the American Mathematical Society
11 Journal of Mathematical Sciences (New York)
10 International Journal of Systems Science
10 Quaestiones Mathematicae
10 Applied Mathematical Modelling
10 Engineering Analysis with Boundary Elements
10 Abstract and Applied Analysis
10 Journal of Applied Mathematics
10 Complex Analysis and Operator Theory
9 Journal of Multivariate Analysis
9 Acta Mathematica Sinica. English Series
9 Operators and Matrices
8 Indian Journal of Pure & Applied Mathematics
8 Journal of Computational Physics
8 Computing
8 Integral Equations and Operator Theory
8 SIAM Journal on Algebraic and Discrete Methods
8 Applied Numerical Mathematics
8 Mathematical and Computer Modelling
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Czechoslovak Mathematical Journal
7 Results in Mathematics
7 Bulletin of the Iranian Mathematical Society
7 Numerical Algebra, Control and Optimization
7 AIMS Mathematics
6 Mathematical Biosciences
6 Mathematical Methods in the Applied Sciences
6 Journal of Differential Equations
6 Mathematical Programming
6 Systems & Control Letters
6 SIAM Journal on Scientific Computing
6 The Journal of Analysis
6 European Journal of Control
6 Nonlinear Dynamics
6 Journal of the Australian Mathematical Society
6 Frontiers of Mathematics in China
6 Journal of Mathematics
5 Discrete Applied Mathematics
5 Discrete Mathematics
5 Fuzzy Sets and Systems
5 Information Sciences
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerical Functional Analysis and Optimization
5 Theoretical Population Biology
5 Transactions of the American Mathematical Society
5 Insurance Mathematics & Economics
5 Computer Aided Geometric Design
5 Optimization
5 Journal of Scientific Computing
5 Neural Networks
5 Communications in Statistics. Theory and Methods
5 European Journal of Operational Research
5 Cybernetics and Systems Analysis
5 Numerical Linear Algebra with Applications
5 Positivity
5 Banach Journal of Mathematical Analysis
5 Open Mathematics
4 Rocky Mountain Journal of Mathematics
4 Ukrainian Mathematical Journal
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 International Journal for Numerical Methods in Engineering
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Scandinavian Actuarial Journal
4 Circuits, Systems, and Signal Processing
4 Acta Mathematica Hungarica
4 Journal of Complexity
4 Machine Learning
4 Neural Computation
4 The Journal of Fourier Analysis and Applications
...and 274 more Serials
all top 5

Cited in 61 Fields

1,188 Linear and multilinear algebra; matrix theory (15-XX)
671 Numerical analysis (65-XX)
322 Operator theory (47-XX)
150 Systems theory; control (93-XX)
117 Statistics (62-XX)
103 Associative rings and algebras (16-XX)
98 Operations research, mathematical programming (90-XX)
92 Computer science (68-XX)
87 Functional analysis (46-XX)
83 Approximations and expansions (41-XX)
81 Ordinary differential equations (34-XX)
79 Combinatorics (05-XX)
41 Probability theory and stochastic processes (60-XX)
41 Mechanics of deformable solids (74-XX)
40 Partial differential equations (35-XX)
34 Information and communication theory, circuits (94-XX)
33 Order, lattices, ordered algebraic structures (06-XX)
32 Biology and other natural sciences (92-XX)
31 Dynamical systems and ergodic theory (37-XX)
31 Mechanics of particles and systems (70-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
25 Group theory and generalizations (20-XX)
25 Difference and functional equations (39-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Fluid mechanics (76-XX)
15 Quantum theory (81-XX)
14 Functions of a complex variable (30-XX)
12 Category theory; homological algebra (18-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Number theory (11-XX)
8 Commutative algebra (13-XX)
8 Integral transforms, operational calculus (44-XX)
8 Integral equations (45-XX)
7 Differential geometry (53-XX)
6 Real functions (26-XX)
6 Geophysics (86-XX)
5 History and biography (01-XX)
4 Mathematical logic and foundations (03-XX)
4 Nonassociative rings and algebras (17-XX)
4 Geometry (51-XX)
4 Convex and discrete geometry (52-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Optics, electromagnetic theory (78-XX)
4 Relativity and gravitational theory (83-XX)
3 General and overarching topics; collections (00-XX)
3 Potential theory (31-XX)
3 Sequences, series, summability (40-XX)
3 Abstract harmonic analysis (43-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.