Theory of Maxima and the Method of Lagrange

S. N. Afriat

SIAM Journal on Applied Mathematics · 1971 · 101 citations · 6 references

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Previous article Next article Theory of Maxima and the Method of LagrangeS. N. AfriatS. N. Afriathttps://doi.org/10.1137/0120037PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. N. Afriat, The quadratic form positive definite on a linear manifold, Proc. Cambridge Philos. Soc., 47 (1951), 1–6 MR0038928 0042.01402 CrossrefISIGoogle Scholar[2] S. N. Afriat, Symmetric matrices, quadratic forms and linear constraints, Publ. Math. Debrecen, 3 (1954), 305–308 (1955) MR0072842 0058.01105 Google Scholar[3] S. N. Afriat, The output limit function in general and convex programming and the theory of production, Econometrica, 39 (1971), 309–339 MR0334884 0219.90019 CrossrefISIGoogle Scholar[4] Richard Bellman, Introduction to matrix analysis, McGraw-Hill Book Co., Inc., New York, 1960xx+328, Chap. V MR0122820 0124.01001 Google Scholar[5] C. Carathéodory, Vorlesungen Uber reelle Functionen, Tuebner, Leipzig, 1924 Google Scholar[6] R. Courant, Differential and Integral Calculus, Vol. 2, New York, 1937 Google Scholar[7] Mohamed A. El-Hodiri, Constrained extrema of functions of a finite number of variables : Review and generalizations, Rep., 141, Economics Department, Purdue University, Lafayette, Ind., 1966 Google Scholar[8] W. L. Ferrar, Finite matrices, Oxford, at the Clarendon Press, 1951vii+182 MR0053059 0043.01302 Google Scholar[9] P. Finsler, Uber das Varkommen definiter und semidefiniter Formen in Scharen quadratischen Formen, Comment. Math. Helv., 9 (1937), 188–192 10.1007/BF01258188 0016.19901 CrossrefGoogle Scholar[10] Ragnar Frisch, Maxima et minima, theorie et applications economiques, Dunod, Paris, 1960, English transl., Rand McNally, Chicago, 1966 0127.36604 Google Scholar[11] Harris Hancock, Theory of maxima and minima, Dover Publications Inc., New York, 1960xiv+193, London, 1914 MR0114884 0090.27501 Google Scholar[12] J. R. 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Irwin, Chicago, 1952, pp. 27–56 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Neural Parametric Fokker--Planck EquationShu Liu, Wuchen Li, Hongyuan Zha, and Haomin ZhouSIAM Journal on Numerical Analysis, Vol. 60, No. 3 | 14 June 2022AbstractPDF (8279 KB)Impacts of Energy Flexibility in Transactive Energy Systems With Large-Scale Renewable GenerationIEEE Access, Vol. 10 | 1 Jan 2022 Cross Ref Multiview Sensing with Unknown Permutations: an Optimal Transport ApproachICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) | 6 Jun 2021 Cross Ref Improving Panoptic Segmentation at All Scales2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) | 1 Jun 2021 Cross Ref Sparse FIR Filter Design With k -Max Sparsity and Peak Error ConstraintsIEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 68, No. 4 | 1 Apr 2021 Cross Ref Nonlinear Power-Like and SVD-Like Iterative Schemes with Applications to Entangled Bipartite Rank-1 ApproximationMoody T. 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