Thomas N. E. Greville

Thomas N. E. Greville's AcademicInfluence.com Rankings

Mathematics

#5379

World Rank

#7575

Historical Rank

#1771

USA Rank

Group Theory

#120

World Rank

#148

Historical Rank

#25

USA Rank

Number Theory

#243

World Rank

#309

Historical Rank

#44

USA Rank

Algebra

#327

World Rank

#457

Historical Rank

#66

USA Rank

mathematics Degrees

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Mathematics

Thomas N. E. Greville's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Thomas N. E. Greville Influential?

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According to Wikipedia, Thomas Nall Eden Greville was an American mathematician, specializing in statistical analysis, particularly as it concerned the experimental investigation of psi. Biography/Career Greville was born in New York on December 27, 1910, and died in 1998. Following receipt of a B.A. degree from the University of the South in 1930, and a M.A. degree in 1932, he received a Ph.D. from the University of Michigan in 1933. His Ph.D. thesis concerned Invariance of the Property of Admissiblitiy Under Certain General Types of Transformations. Thereafter Greville worked as actuarial assistant in the company Acacia Mutual Life Insurance ; instructor in mathematics at the University of Michigan ; actuarial mathematician in the U.S. Bureau of the Census ; chief of the Actuarial Analysis section of the National Office of Vital Statistics ; statistical consultant to the U.S. Operations Mission to Brazil ; assistant chief actuary, U.S. Social Security Administration ; chief mathematician in the Office of the Quartermaster General ; vice-president of the S.A. Millar Company, Washington, D.C. ; and visiting professor within the Mathematics Research Center of the U.S. Army in 1962. From 1963 to 1985, he worked as a mathematics Professor at the Mathematics Research Center at the University of Wisconsin–Madison.

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Thomas N. E. Greville's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Generalized inverses: theory and applications (1974) (3927)
Some Applications of the Pseudoinverse of a Matrix (1960) (312)
Theory and applications of spline functions (1969) (269)
Note on the Generalized Inverse of a Matrix Product (1966) (267)
The Pseudoinverse of a Rectangular or Singular Matrix and Its Application to the Solution of Systems of Linear Equations (1959) (219)
A Drazin inverse for rectangular matrices (1980) (113)
Solutions of the Matrix Equation $XAX = X$, and Relations between Oblique and Orthogonal Projectors (1974) (64)
Numerical Procedures for Interpolation by Spline Functions (1964) (55)
Elements of Graduation. (1947) (50)
The Souriau-Frame algorithm and the Drazin pseudoinverse (1973) (46)
Short Methods of Constructing Abridged Life Tables (1977) (30)
On Stability of Linear Smoothing Formulas (1966) (29)
Note on Fitting of Functions of Several Independent Variables (1961) (29)
Moving-Weighted-Average Smoothing Extended to the Extremities of the Data. (1977) (27)
INTERPOLATION BY GENERALIZED SPLINE FUNCTIONS (1964) (22)
Toeplitz matrices with Toeplitz inverses revisited (1983) (20)
On Smoothing a Finite Table: A Matrix Approach (1957) (19)
Some Topics in Generalized Inverses of Matrices (1976) (17)
Band matrices with Toeplitz inverses (1979) (15)
The Frequency Distribution of a General Matching Problem (1941) (15)
An Extension of the Generalized Inverse of a Matrix (1970) (12)
Table for third-degree spline interpolation with equally spaced arguments (1970) (12)
On Multiple Matching with One Variable Deck (1944) (11)
Backwrd population projection by a generalized inverse. (1974) (9)
On a Problem Concerning Band Matrices with Toeplitz Inverses. (1978) (8)
On a Problem of E. L. De Forest in Iterated Smoothing (1974) (7)
The spline interpolation of sequences satisfying a linear recurrence relation (1976) (7)
Laws of Mortality Which Satisfy a Uniform Seniority Principle (1956) (6)
Recent developments in graduation and interpolation. (1948) (6)
Erratum: Generalized Inverse of a Matrix Product (1967) (5)
Erratum: Note on Fitting of Functions of Several Independent Variables (1961) (4)
Actuarial Statistics: Vol. II, Construction of Mortality and Other Tables. (1949) (3)
Bounds for Eigenvalues of Hermitian Trench Matrices. (1979) (3)
A Generalization of Waring's Formula (1944) (3)
Moving-weighted-average smoothing extended to the extremities of the data III. Stability and optimal properties (1981) (3)
TALKS ON GENERALIZED INVERSES AND SOLUTIONS OF LARGE, APPROXIMATELY SINGULAR LINEAR SYSTEMS. (1966) (2)
Life Tables from Limited Data (1957) (2)
Selected papers of T.N.E. Greville (1984) (2)
Introduction to the Theory of Probability and Statistics . Niels Arley and K. Rander Buch. New York: John Wiley; London: Chapman & Hall, 1950. 236 pp. $4.00. (1950) (2)
On the Probability of Attaining a Given Standard Deviation Ratio in an Infinite Series of Trials (1939) (2)
The Facts of Life from Birth to Death. (1952) (2)
BACKWARD POPULATION PROJECTION BY A GENERALIZED INVERSE (1980) (2)
United States abridged life tables, 1945. (1947) (2)
A survey and appraisal of the statistical methods used in parapsychological research. (1949) (1)
Invariance of the admissibility of numbers under certain general types of transformations (1939) (1)
ELEMENTARY DERIVATION AND PROPERTIES OF SHOVELTON'S INTERPOLATION FORMULA. (1969) (0)
Remark on the Note "A Generalization of Waring's Formula" (1947) (0)
UnitedStates Life Tables by Dentulousor Edentulous Condition, 1971 and 1957-58. (1974) (0)
Bigradients (Alston S. Householder) (1972) (0)
Remark on W. M. Kincaid's "Note on the Error in Interpolation of a Function of Two Independent Variables" (1950) (0)
Regularity of label-sequences under configuration transformations (1943) (0)
ON THE NUMERICAL SOLUTION OF LINEAR DIFFERENCE EQUATIONS WITH AXILIARY CONDITIONS AT BOTH ENDS (1963) (0)
COMPUTATIONAL PROCEDURES FOR OBTAINING MODULAR NUMBERS (1960) (0)
Joint Committee on Mortality, Occupational Study (1937). (1939) (0)
Smoothest Local Interpolation Formulas for Equally Spaced Data. (1981) (0)
Review of C. W. Jordan's ‘Life Contingencies’ (1954) (0)
Lectures on Probability and Statistics. (1946) (0)
Elementary Statistical Analysis . S. S. Wilks. Princeton, N. J.: Princeton Univ. Press, 1948. Pp. xi + 284. $2.50. (1949) (0)
Population dynamics : proceedings of a Symposium conducted by the Mathematics Research Center, The University of Wisconson, Madison June 19-21, 1972 (1972) (0)
The Cost of Production of the Human Adult and Its Variation in Relation to Mortality. (1948) (0)
APPROXIMATIONS OF CONTINUOUS FUNCTIONS BY POLYGONAL FUNCTIONS. (1966) (0)
Remark on the Article "On a Class of Distributions that Approach the Normal Distribution Function" by George B. Dantzig (1950) (0)
Mathematical Tables, Volume VI, Bessel Functions, Part I, Functions of Orders Zero and Unity. (1938) (0)

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Thomas N. E. Greville's Academic­Influence.com Rankings

Thomas N. E. Greville's Degrees

Why Is Thomas N. E. Greville Influential?

Thomas N. E. Greville's Published Works

Published Works

Other Resources About Thomas N. E. Greville

What Schools Are Affiliated With Thomas N. E. Greville?

Thomas N. E. Greville's AcademicInfluence.com Rankings