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Introduction To Linear Optimization

By: Material type: TextLanguage: English Publication details: Singapore : World Scientific, 2024.Description: xxii,626p. : ill. ; 23 cmISBN:
  • 9789811278730
Subject(s): Other classification:
  • B2893P R4
Summary: 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.
Item type: Textual
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Textual Central Science Library Central Science Library B2893P R4 (Browse shelf(Opens below)) Available SL1655945

Includes appendix,bibliography and index.

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.

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