Optimality Conditions for Continuous Nonlinear Optimization

The optimization problems considered in this book involve minimization or maximization of a function of several real variables subject to one or more constraints. The constraints may be nonnegativity of variables, simple bounds on variables, and equalities or inequalities as functions of these variables. These problems are known as continuous nonlinear constrained optimization or nonlinear programming.

[1]  F. John Extremum Problems with Inequalities as Subsidiary Conditions , 2014 .

[2]  A. Peressini,et al.  The Mathematics Of Nonlinear Programming , 1988 .

[3]  E. Polak Introduction to linear and nonlinear programming , 1973 .

[4]  Philip E. Gill,et al.  Practical optimization , 1981 .

[5]  Benoît Chachuat,et al.  Nonlinear and Dynamic Optimization: From Theory to Practice , 2007 .

[6]  W. Karush Minima of Functions of Several Variables with Inequalities as Side Conditions , 2014 .

[7]  R. Cottle William Karush and the KKT Theorem , 2012 .

[8]  Katta G. Murty,et al.  Nonlinear Programming Theory and Algorithms , 2007, Technometrics.

[9]  Ya-Xiang Yuan,et al.  Optimization Theory and Methods: Nonlinear Programming , 2010 .

[10]  Michael Bartholomew-Biggs,et al.  Nonlinear Optimization with Engineering Applications , 2008 .

[11]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[12]  Stephen J. Wright,et al.  Numerical Optimization (Springer Series in Operations Research and Financial Engineering) , 2000 .

[13]  Ya-Xiang Yuan,et al.  Optimization theory and methods , 2006 .

[14]  K. Schittkowski,et al.  NONLINEAR PROGRAMMING , 2022 .

[15]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[16]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[17]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[18]  Phillipp Kaestner,et al.  Linear And Nonlinear Programming , 2016 .