Luenberger, David G. : Stanford University

David G. Luenberger is a professor in the School of Engineering at Stanford University. He has published four textbooks and over 70 technical papers. Professor Luenberger is a Fellow of the Institute of Electrical and Electronics Engineers and recipient of the 1990 Bode Lecture Award. His current research is mainly in investment science, economics, and planning.

Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. Using optimization theory, which is derived from a few simple geometric relations, an engineer can apply three-dimensional models to extremely complex, infinite-dimensional problems. This book shows engineers how to use optimization theory.

Linear Spaces.

Hilbert Space.

Least-Squares Estimation.

Dual Spaces.

Linear Operators and Adjoints.

Optimization of Functionals.

Global Theory of Constrained Optimization.

Local Theory of Constrained Optimization.

Iterative Methods of Optimization.

Indexes.