Magnus Hestenes

Q: What Schools Are Affiliated With Magnus Hestenes

Magnus Hestenes is affiliated with the following schools: University of California, Los Angeles, University of Chicago, Harvard University

Magnus Hestenes's AcademicInfluence.com Rankings

Magnus Hestenes

Mathematics

#1426

World Rank

#2349

Historical Rank

#590

USA Rank

Measure Theory

#364

World Rank

#541

Historical Rank

#156

USA Rank

mathematics Degrees

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Mathematics

Why Is Magnus Hestenes Influential?

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According to Wikipedia, Magnus Rudolph Hestenes was an American mathematician best known for his contributions to calculus of variations and optimal control. As a pioneer in computer science, he devised the conjugate gradient method, published jointly with Eduard Stiefel.

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Magnus Hestenes'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

Methods of conjugate gradients for solving linear systems (1952) (7691)
Multiplier and gradient methods (1969) (2285)
Calculus of variations and optimal control theory (1968) (789)
Conjugate Direction Methods in Optimization (1980) (443)
Inversion of Matrices by Biorthogonalization and Related Results (1958) (244)
Applications of the theory of quadratic forms in Hilbert space to the calculus of variations. (1951) (202)
Optimization Theory: The Finite Dimensional Case (1975) (197)
Extension of the range of a differentiable function (1941) (112)
A method of gradients for the calculation of the characteristic roots and vectors of a real symmetric matrix (1951) (100)
A ternary algebra with applications to matrices and linear transformations (1962) (71)
Relative hermitian matrices. (1961) (58)
Pseudoinversus and conjugate gradients (1975) (58)
On Variational Theory and Optimal Control Theory (1965) (55)
Iterative methods for solving linear equations (1973) (43)
Relative self-adjoint operators in Hilbert space (1961) (42)
Pairs of quadratic forms (1968) (41)
A GENERAL PROBLEM IN THE CALCULUS OF VARIATIONS WITH APPLICATIONS TO PATHS OF LEAST TIME (1950) (37)
A theorem on quadratic forms and its application in the calculus of variations (1940) (35)
Natural Isoperimetric Conditions in the Calculus of Variations. (1935) (29)
Solutions of Ax = gamma Bx1 (1951) (29)
Sufficient Conditions for Multiple Integral Problems in the Calculus of Variations (1948) (24)
The problem of Bolza in the calculus of variations (1934) (22)
Quadratic control problems (1975) (20)
Separation of close eigenvalues af a real symmetric matrix (1951) (19)
Sufficient conditions for the isoperimetric problem of Bolza in the calculus of variations (1946) (16)
An indirect sufficiency proof for the problem of Bolza in nonparametric form (1947) (16)
Quadratic variational theory and linear elliptic partial differential equations (1961) (15)
VARIATIONAL THEORY AND OPTIMAL CONTROL THEORY (1964) (15)
The Weierstrass $E$-function in the calculus of variations (1946) (13)
Augmentability in optimization theory (1980) (12)
Generalized Minimax Principle in the Calculus of Variations. (1935) (11)
Sufficient conditions for a problem of Mayer in the calculus of variations (1933) (11)
Iterative computational methods (1955) (10)
Linear Algebra for Mathematics, Science, and Engineering (1991) (10)
On Sufficient Conditions in the Problems of Lagrange and Bolza (1936) (10)
Conjugacy and gradients (1990) (9)
Conjugate Direction Methods (1980) (9)
An embedding theorem for differential equations (1968) (9)
On the minimization of certain quadratic functional. I (1974) (8)
A sufficiency proof for isoperimetric problems in the calculus of variations (1938) (8)
NBS-INA―The institute for numerical analysis―UCLA 1947-1954 (1991) (8)
Theorem of Lindeberg in the calculus of variations (1946) (6)
Sufficient conditions for the general problem of Mayer with variable end points (1933) (5)
Elements of calculus of variations and optimum control theory (1966) (5)
An Elementary Introduction to the Calculus of Variations (1950) (5)
Generalized problem of Bolza in the calculus of variations (1939) (5)
An alternate sufficiency proof for the normal problem of Bolza (1947) (4)
Singular quadratic variational problems (1983) (4)
Review: G. A. Bliss, Lectures on the calculus of variations (1947) (4)
Conjugate Gradient Algorithms (1980) (4)
The solution of linear equations by minimization (1973) (4)
A Theory of Critical Points (1945) (3)
A note on the Weierstrass condition in the calculus of variations (1939) (3)
Minimax Principle for Functions. (1936) (2)
A note on the Jacobi condition for parametric problems in the calculus of variations (1934) (1)
Conjugacy and gradients in variational theory and analysis (1987) (1)
An analogue of Green’s theorem in the calculus of variations (1941) (1)
A Role of the Pseudoinverse in Analysis (1976) (1)
On the minimization of certain quadratic functionals. II (1974) (0)
Volterra and Pérès on Functionals (1938) (0)
Editorial In Memory of Magnus R. Hestenes (1992) (0)
Conjugate Gram-Schmidt Processes (1980) (0)
Research in Calculus of Variations Numerical Analysis and Related Fields. (1975) (0)
Book review (1969) (0)
Newton’s Method and the Gradient Method (1980) (0)
Review: R. V. Gamkrelidze, Principles of optimal control theory (1980) (0)
Set-Theoretic Mathematics: Fundamentals of Abstract Analysis . Andrew M. Gleason. Addison-Wesley, Reading, Mass., 1966. 416 pp., illus. $13.75. (1967) (0)

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What Schools Are Affiliated With Magnus Hestenes?

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Magnus Hestenes's Academic­Influence.com Rankings