Linear and Nonlinear Optimization / International Series in Operations Research & Management Science Bd.253 (PDF)

Richard W. Cottle is a Professor Emeritus from the Department of Management Science and Engineering at Stanford University. He received the degrees of A.B. and A.M. from Harvard University and the Ph.D. from the University of California at Berkeley, all three in mathematics. Under the supervision of George B. Dantzig, Cottle wrote a dissertation in which the linear and nonlinear complementarity problems were introduced. Upon completion of his doctoral studies in Berkeley, Cottle became a member of the technical staff of Bell Telephone Laboratories in Holmdel, New Jersey. Two years later, he joined the operations research faculty at Stanford University where he remained until his retirement in 2005.
For nearly 40 years at Stanford, Cottle taught at the undergraduate, master's, and doctoral levels in a variety of optimization courses including linear and nonlinear programming, complementarity and equilibrium programming, and matrix theory. (The present volume is an outgrowth of one such course.) Most of Cottle's research lies within these fields.
A former Editor-in-Chief of the journals Mathematical Programming and Mathematical Programming Study, Richard Cottle is well known for The Linear Complementarity Problem, a Lanchester Prize winning monograph he co-authored with two of his former doctoral students, Jong-Shi Pang and Richard E. Stone. In retirement he remains active in research and writing.
Mukund N. Thapa is the President & CEO of Optical Fusion, Inc., and President of Stanford Business Software, Inc. He received a bachelor of technology degree in metallurgical engineering from the Indian Institute of Technology, Bombay. His Bachelor's thesis was on operations research techniques in iron and steel making. Later he obtained M.S. and Ph.D. degrees in operations research from Stanford University in 1981. His Ph.D. thesis was concerned with developing specialized algorithms for solving largescale unconstrained nonlinear minimization problems. By profession he

“The historical notes in the book are interesting and well placed. … The book’s list of important references is quite complete. … this book is destined to become a classic in the field for beginning graduate students in optimization.” (S. Zlobec, Mathematical Reviews, January, 2018)