MANGASARIAN , OLVI L. — Nonlinear Programming

Tata McGraw-Hill (1969) TMH ediition. Reprint of 1969 XXI + 375 p., .illustrations, ,tables, formulas, , bibliogr., index SOFTCOVER: (Orig.softover, Incidental pencil underlining, Date nov 76 and name end paper, spine edge shows only minor signs of wear,.VERY GOOD ) This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumption