Edit Profile (opens in new tab) Greville, Thomas Nall Eden Co-Author Distance Author ID: 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 all top 5 Co-Authors 48 single-authored 4 Ben-Israel, Adi 3 Schoenberg, Isaac Jacob 3 Sharma, Ambikeshwar 3 Vaughan, Hubert 2 Cline, Randall E. 2 Greenwood, Joseph A. 1 Bareiss, Erwin H. 1 Henrici, Peter 1 Keyfitz, Nathan 1 Moshman, Jack 1 Ortega, James M. 1 Parlett, Beresford Neill 1 Ralston, Anthony 1 Spanier, Jerome 1 Stroud, Arthur H. 1 Traub, Joseph Frederick 1 Trench, William F. 1 Wilf, Herbert S. 1 Wilkinson, James Hardy 1 Wirth, Niklaus all top 5 Serials 9 Annals of Mathematical Statistics 4 Linear Algebra and its Applications 4 SIAM Review 3 Transactions of the American Mathematical Society 2 Journal of Approximation Theory 2 Scandinavian Actuarial Journal 2 SIAM Journal on Applied Mathematics 2 Journal of the Society for Industrial & Applied Mathematics 1 Mathematics of Computation 1 Journal of the American Statistical Association 1 SIAM Journal on Numerical Analysis 1 Theoretical Population Biology 1 Utilitas Mathematica 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society 1 Publications of the Mathematics Research Center, The University of Wisconsin - Madison 1 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis all top 5 Fields 16 Linear and multilinear algebra; matrix theory (15-XX) 12 Numerical analysis (65-XX) 11 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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. 1,097 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. 1,097 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.