# Alston Scott Householder

#1,246

Most Influential Person Now

American mathematician

## Alston Scott Householder's AcademicInfluence.com Rankings

Alston Scott Householdermathematics Degrees

Mathematics

#73

World Rank

#211

Historical Rank

#26

USA Rank

Measure Theory

#310

World Rank

#474

Historical Rank

#137

USA Rank

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Mathematics

## Why Is Alston Scott Householder Influential?

(Suggest an Edit or Addition)According to Wikipedia, Alston Scott Householder was an American mathematician who specialized in mathematical biology and numerical analysis. He is the inventor of the Householder transformation and of Householder's method.

## Alston Scott Householder's Published Works

### Published Works

- The Theory of Matrices in Numerical Analysis (1964) (1611)
- Design for a Brain. (1953) (1074)
- Discussion of a set of points in terms of their mutual distances (1938) (791)
- Unitary Triangularization of a Nonsymmetric Matrix (1958) (556)
- The numerical treatment of a single nonlinear equation (1970) (491)
- Handbook for Automatic Computation (1960) (461)
- Principles of Numerical Analysis (1954) (398)
- A Survey of Numerical Analysis (1963) (238)
- The Mathematical Basis of the Interpretation of Tracer Experiments in Closed Steady‐State Systems (1951) (177)
- Matrix Approximation and Latent Roots (1938) (99)
- On certain methods for expanding the characteristic polynomial (1959) (74)
- A Survey of Some Closed Methods for Inverting Matrices (1957) (62)
- Solution of Equations and Systems of Equations (A. M. Ostrowski) (1967) (57)
- The Approximate Solution of Matrix Problems (1958) (57)
- Some Inverse Characteristic Value Problems (1956) (50)
- Bezoutiants, Elimination and Localization (1970) (47)
- Bigradients and the Problem of Routh and Hurwitz (1968) (42)
- Presidential Address to the ACM (1956) (42)
- On the Convergence of Matrix Iterations (1956) (41)
- Some inequalities involving the euclidean condition of a matrix (1960) (38)
- On certain iterative methods for solving linear systems (1960) (38)
- A note on multidimensional psychophysical analysis (1941) (36)
- ...Mathematical biophysics of the central nervous system, by Alston S. Householder and Herbert D. Landahl. (1945) (31)
- Generalizations of an algorithm of Sebastião e Silva (1971) (28)
- Absolute norms and characteristic roots (1961) (27)
- A Class of Methods for Inverting Matrices (1958) (25)
- A neural mechanism for discrimination (1939) (21)
- Dandelin, Lobacevskii, or Graeffe (1959) (20)
- A theory of steady-state activity in nerve-fiber networks: I. Definitions and preliminary lemmas (1941) (16)
- Moments and characteristic roots. II (1968) (15)
- Retiring Presidential Address (1957) (15)
- Neuron circuits: The self-exciting neuron (1939) (15)
- J.H. Wilkinson (1919–1986) (1987) (12)
- Minimal matrix norms (1959) (12)
- The padé table, the frobenius identities, and the qd algorithm (1971) (11)
- Some Numerical Methods for Solving Systems of Linear Equations (1950) (11)
- The singular values of involutory and of idempotent matrices (1963) (11)
- A theory of steady-state activity in nerve-fiber networks II: The simple circuit (1941) (11)
- On matrices with non-negative elements (1958) (11)
- A neural mechanism for discrimination: II. Discrimination of weights (1940) (11)
- Determination of eigenvectors of symmetric idempotent matrices (1971) (11)
- Elementary Theory of Equations. (1940) (11)
- Advances and Applications of Mathematical Biology (1941) (11)
- Terminating and Nonterminating Iterations for Solving Linear Systems (1955) (10)
- A theory of the induced size effect (1943) (10)
- The Kantorovich and Some Related Inequalities (1965) (10)
- A theory of steady-state activity in nerve-fiber networks III: The simple circuit in complete activity (1941) (9)
- A theory of steady-state activity in nerve-fiber networks: IV.N circuits with a common synapse (1942) (9)
- A neural mechanism for discrimination III: Visually perceived lengths and distances (1940) (8)
- Moments and characteristic roots (1960) (8)
- A note concerning positive matrices and M-matrices (1959) (7)
- Weber laws, the Weber law, and psychophysical analysis (1940) (7)
- Factorial invariance and significance (1940) (7)
- The Numerical Factorization of a Polynomial (1971) (7)
- Generation of errors in digital computation (1954) (7)
- On the mutual influence of individuals in a social group (1941) (6)
- A Detailed Proof of the Chi-Square Test of Goodness of Fit. (1940) (6)
- Multigradients and the zeros of transcendental functions (1971) (6)
- Some aspects of Rashevsky's theory of delayed reflexes (1937) (6)
- On a Condition for the Nonsingularity of a Matrix (1972) (6)
- Polynomial iterations to roots of algebraic equations (1951) (6)
- ON DEFLATING MATRICES (1961) (5)
- Statistical distribution of impedance elements in biological systems (1941) (5)
- A Stochastic Model for the Selection of Macronuclear Units in Paramecium Growth (1954) (5)
- Comments on “some iterations for factoring a polynomial” (1969) (5)
- Cellular forms: The tri-axial cell. I (1942) (5)
- (Lewin, Kurt. Principles of Topological Psychology. Translated by Fritz and Grace Heider. New York: McGraw-Hill, 1936. Pp. 231.) (1939) (4)
- Some Group Interaction Models (1952) (4)
- Generated Error in Rotational Tridiagonalization (1958) (4)
- Norms and the localization of roots of matrices (1968) (4)
- Neural structure in perception and response. (1947) (4)
- Mathematical biophysics of cellular forms and movements (1941) (4)
- A note on Gerschgorin's inclusion theorem for eigenvalues of matrices (1970) (4)
- Studies in the mathematical theory of excitation (1939) (3)
- Bibliography on Numerical Analysis (1956) (3)
- On a theorem of Koenig (1966) (3)
- Schröder and Trudi: A Historical Excursion (1974) (3)
- KWIC Index for the Numerical Treatment of Nonlinear Equations (1972) (3)
- Concerning Rashevsky's theory of the “Gestalt” (1939) (2)
- Bigradients and the Euclid-Sturm Algorithm (1974) (2)
- Erratum: Bigradients and the Problem of Routh and Hurwitz (1968) (2)
- A note on the horopter (1940) (2)
- Separation theorems for normalizable matrices (1966) (2)
- The kinetics of enzyme inactivation (1943) (2)
- SOME INVERSE CHARACTERISTIC VALUE PROBLEMS WHICH ARISE IN THE STUDY OF SIMPLE MOLECULES (1955) (2)
- ON SOLVING LINEAR ALGEBRAIC SYSTEMS (1954) (2)
- Note on Rashevsky's equation for cellular growth (1943) (1)
- A note on the diffusion of electrolytes in cells (1942) (1)
- Discussions and Notes (1942) (1)
- The two-factor theory of nervous excitation with non-normal accommodation (1944) (1)
- Excitation of a chain of neurones (1938) (1)
- Reminiscences of Oak Ridge (1980) (1)
- Postscript to “Generalizations of an algorithm of Sebastião e Silva” (1973) (1)
- Equivalence of the theories of nervous excitation of Hill, Monnier, and Rashevsky (1944) (1)
- Review: N. Rashevsky, Mathematical theory of human relations. An approach to a mathematical biology of social phenomena (1949) (1)
- Conditioning circuits (1938) (0)
- Mathematical Profiles (1957) (0)
- Book Reviews: Speech: Code, Meaning, and Communication (1955) (0)
- Letters to the editor (1963) (0)
- Biochemistry and morphogenesis (1944) (0)
- Culbertson James T.. Consciousness and behavior. A neural analysis of behavior and of consciousness . Wm. C. Brown Company, Dubuque 1950, xxi + 210 pp. (1951) (0)
- THE INTERPRETATION OF EXPERIMENTAL INVESTIGATIONS OF TRANSFERS WITHIN A TWO- COMPARTMENT SYSTEM, USING ISOTOPIC TRACERS (1949) (0)
- George E. Forsythe (1973) (0)
- Multi-Group, Multi-Reflector Pile Theory, (1947) (0)
- Book Reviews: Dictionary of Mathematical Sciences, English-German (1955) (0)
- Muscular dynamics and muscular efficiency: I. The isometric length-tension diagram of striated skeletal muscle (1945) (0)
- SOME OBSERVATIONS ON REACTOR CRITICALITY CALCULATIONS (1956) (0)
- Some Algebraic Identities (Stan Kaplan) (1971) (0)
- Matrix Calculus . E. Bodewig. North- Holland, Amsterdam; Interscience, New York, 1956. 334 pp. $7.50. (1957) (0)
- Review: James T. Culbertson, Consciousness and Behavior. A Neural Analysis of Behavior and of Consciousness (1951) (0)
- Names for Binary Numbers. (1958) (0)
- Approximations for Digital Computers . Cecil Hastings, Jr., assisted by Jeanne T. Hayward and James P. Wong, Jr. Princeton Univ. Press, Princeton, N.J., 1955. viii + 201 pp. $4. (1955) (0)
- MATHEMATICS DIVISION ANNUAL PROGRESS REPORT FOR PERIOD ENDING DECEMBER 31, 1964 (1965) (0)
- Dynamics of quadrupedal locomotion (1945) (0)
- The Addition Formulas in Trigonometry (1942) (0)
- Methods and products for irregularly shaped bikomponentglasfasern (1995) (0)
- Dictionary of Mathematical Sciences, English-German . vol II. Leo Herland. Ungar, New York, 1954. 336 pp. $4.50. (1955) (0)
- Book Review:A History of Numerical Analysis from the 16th through the 19th Century Herman H. Goldstine (1979) (0)
- The Mind of Robots. Sense data, memory images, and behavior in conscious automata. James T. Culbertson. University of Illinois Press, Urbana, 1963. xiv + 466 pp. Illus. $10 (1963) (0)
- Book review (1956) (0)
- Book Reviews: Mathematics for the Chemist. Mathematical Analysis for Chemists, Physicists, and Chemical Engineers (1955) (0)
- Symposium on Matrix Computations (1962) (0)
- On the Penultimate Remainder Algorithm and the Catalytic Multiplier (1970) (0)
- Mathematical biophysics and the central nervous system (1946) (0)
- Generated error in the solution of certain linear difference equations (1956) (0)
- THE TWO GROUP THEORY OF PILES WITH MULTIPLE REFLECTORS (1946) (0)
- On synchronous sporulation with possible reference to malarial parasites (1943) (0)
- A Determinant (J. Prasad) (1970) (0)
- Some Notes for Simple Pavlovian Learning (1951) (0)
- Numerical Analysis . With emphasis on the application of numerical techniques to problems of infinitestimal calculus in single variable. Zdeněk Kopal. Wiley, New York, 1955. 556 pp. Illus. $12. (1956) (0)
- An Etymological Excursion (1937) (0)
- Kwic index for numerical algebra (1969) (0)
- Book Reviews: Numerical Analysis. With Emphasis on the Application of Numerical Techniques to Problems of Infinitestimal Calculus in Single Variable (1956) (0)
- Transform Calculus with an Introduction to Complex Variables . E. J. Scott. Harper, New York, 1955. ix + 330 pp. Illus. $7.50. (1955) (0)
- Non-woven fiber mat corresponding production (1997) (0)
- Book review (1952) (0)
- Mathematical analysis of binocular vision (1947) (0)
- KWIC Index for Matrices in Numerical Analysis (1971) (0)
- Note on anodal excitation (1943) (0)

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## Other Resources About Alston Scott Householder

## What Schools Are Affiliated With Alston Scott Householder?

Alston Scott Householder is affiliated with the following schools: