Studies in linear and non-linear programming

By Kenneth Joseph Arrow

Subjects: Linear programming, Programming (Mathematics), Economics, Mathematical models, Nonlinear programming

Description: Contents : A theorem on convex polyhedral cones / Hirofumi Uzawa -- The Kuhn-Tucker theorem in concave programming / Hirofumi Uzawa -- Programming in linear spaces / Leonid Hurwicz -- A note on the Lagrangian saddle-points / Leonid Hurwicz and Hirofumi Uzawa -- Gradient method for concave programming, I: local results / Kenneth J. Arrow and Leonid Hurwicz -- Gradient method for concave programming, II: global stability in the strictly concave case / Hirofumi Uzawa -- Gradient method for concave programming, III: further global results and applications to resource allocation / Kenneth J. Arrow and Leonid Hurwicz -- An example of a modified gradient method for linear programming / Thomas Marschak -- Iterative methods for concave programming / Hirofumi Uzawa -- Gradient methods for constrained maxima, with weakened assumptions / Kenneth J. Arrow and Robert M. Solow -- An elementary method for linear programming / Hirofumi Uzawa -- Price speculation under certainty / Kenneth J. Arrow and Samuel Karlin -- A feasibility algorithm for one-way substitution in process analysis / Kenneth J. Arrow and Selmer M. Johnson -- Non-linear programming in economic development / Hollis B. Chenery and Hirofumi Uzawa.