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The book presents a graduate level, rigorous, and self-contained introduction to linear optimization (LO), the presented topics being expressive abilities of LO; geometry of LO — structure of polyhedral sets, LO duality and its applications; traditional LO algorithms — primal and dual simplex methods, and network simplex method; polynomial time solvability of LO via ellipsoid algorithm; conic programming with emphasis on expressing abilities of second order and semidefinite optimization, and polynomial time primal-dual interior point algorithms for linear and semidefinite optimization.
Title: Introduction to Linear Optimization
Publisher: WSPC
Publication Date: 2024
Binding: Soft cover
Condition: New