


Table of Contents  

A Historical View of Nonlinear Programming: Traces and Emergence / Tinne Hoff Kjeldsen  1  
A Gradient Method for Approximating Saddle Points and Constrained Maxima / Leonid Hurwicz  45  
Reduction of Constrained Maxima to SaddlePoint Problems / Leonid Hurwicz  61  
Constraint Qualifications in Maximization Problems / Hirofumi Uzawa  81  
Normality and Abnormality in the Calculus of Variations / Gilbert A. Bliss  99  
A Theorem of Fritz John in Mathematical Programming / Richard W. Cottle  111  
On Conjugate Convex Functions / Werner Fenchel  125  
Programming in Linear Spaces / Leonid Hurwicz  131  
Extremum Problems with Inequalities as Subsidiary Conditions / Fritz John  197  
Minima of Functions of Several Variables with Inequalities as Side Conditions / William Karush  217  
Nonlinear Programming / Albert W. Tucker  247  
Second Order Conditions for Constrained Minima / Garth. P. McCormick  259  
An Indirect Sufficiency Proof for the Problem of Lagrange with Differential Inequalities as Added Side Conditions / Louis L. Pennisi  271  
Lagrange Multipliers Revisited / Morton Slater  293  
The KuhnTucker Theorem in Concave Programming / Hirofumi Uzawa  307  
The Problem of Lagrange with Differential Inequalities as Added Side Conditions / Frederick Albert Valentine  313  
Appendices  
On Linear Inequalities / N.H. McCoy  359  
Nonlinear Programming: A Historical View / Harold W. Kuhn  393  
Recherches sur la Methode de Maximis et Minimis / Joseph L. Lagrange  415 
 

