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Selected Publications of Magnus R Hestenes
Sufficient Conditions for a Problem of Mayer in the Calculus of Variations, Transactions of the American Mathematical Society, Vol. 35, pp. 305–326, 1933 (with G. A. Bliss).
Sufficient Conditions for the Problem of Bolza in the Calculus of Variations, Transactions of the American Mathematical Society, Vol. 36, pp. 793–818, 1934.
Generalized Minimax Principle in the Calculus of Variations, Duke Mathematical Journal, Vol. 1, pp. 413–432, 1935 (with G. D. Birkhoff).
On Sufficient Conditions in the Problems of Lagrange and Bolza, Annals of Mathematics, Vol. 37, pp. 543–551, 1936.
A Direct Sufficiency Proof for the Problem of Bolza in the Calculus of Variations, Transactions of the American Mathematical Society, Vol. 42, pp. 141–154, 1937.
A Theorem on Quadratic Forms with Applications in the Calculus of Variations, Transactions of the American Mathematical Society, Vol. 47, pp. 501–502, 1940 (with E. J. McShane).
A Theory of Critical Points, American Journal of Mathematics, Vol. 67, pp. 521–562, 1945.
An Indirect Sufficiency Proof for the Problem of Bolza in Nonparametric Form, Transactions of the American Mathematical Society, Vol. 62, pp. 509–535, 1947.
A General Problem in the Calculus of Variations with Applications to the Paths of Least Time, The RAND Corporation, Research Memorandum No. 100, 1950.
Applications of the Theory of Quadratic Forms in Hilbert Space to the Calculus of Variations, Pacific Journal of Mathematics, Vol. 1, pp. 525–581, 1951.
A Method of Gradients for the Calculation of the Characteristic Roots and Vectors of a Real Symmetric Matrix, Journal of Research, National Bureau of Standards, Vol. 47, pp. 45–61, 1951 (with W. E. Karush).
Method of Conjugate Gradients for Solving Linear Systems, Journal of Research, National Bureau of Standards, Vol. 49, pp. 409–438, 1952 (with E. Stiefel).
Hilbert Space Methods in Variational Theory and Numerical Analysis, Proceedings of the International Congress of Mathematicians, Vol. 3, Edited by J. Gerretsen and J. De Groot, North-Holland Publishing Company, Amsterdam, Holland, 1954.
Inversion of Matrices by Biorthogonalization and Related Results, SIAM Journal on Applied Mathematics, Vol. 6, pp. 51–90, 1958.
Relative Self-Adjoint Operators in Hilbert Space, Pacific Journal of Mathematics, Vol. 11, pp. 1315–1357, 1961.
Quadratic Variational Theory and Linear Elliptic Partial Differential Equations, Transactions of the American Mathematical Society, Vol. 101, pp. 306–350, 1961.
A Ternary Algebra with Applications to Matrices and Linear Transformations, Archive for Rational Mechanics and Analysis, Vol. 2, pp. 138–195, 1962.
On Variational Theory and Optimal Control Theory, SIAM Journal on Control, Vol. 3, pp. 23–48, 1965.
Calculus of Variations and Optimal Control Theory, John Wiley and Sons, New York, New York, 1966.
Multiplier and Gradient Methods, Journal of Optimization Theory and Applications, Vol. 4, pp. 303–320, 1969.
On the Minimization of Certain Quadratic Functionals, Parts 1 and 2, Archive for Rational Mechanics and Analysis, Vol. 56, pp. 1–14, 1974 and Vol. 56, pp. 15–33, 1974 (with R. Redheffer).
Optimization Theory: The Finite-Dimensional Case, Wiley-Interscience, New York, New York, 1975.
Conjugate Direction Methods in Optimization, Springer-Verlag, New York, 1980.
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Berkovitz, L.D. In memory of Magnus R. Hestenes. J Optim Theory Appl 73, 225–227 (1992). https://doi.org/10.1007/BF00940178
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DOI: https://doi.org/10.1007/BF00940178