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Anotace knihy

Finding low-rank solutions of semidefinite programs is important in many applications. For example, semidefinite programs that arise as relaxations of polynomial optimization problems are exact relaxations when the semidefinite program has a rank-1 solution. Unfortunately, computing a minimum-rank solution of a semidefinite program is an NP-hard problem. This monograph reviews the theory of low-rank semidefinite programming, presenting theorems that guarantee the existence of a low-rank solution, heuristics for computing low-rank solutions, and algorithms for finding low-rank approximate solutions. It then presents applications of the theory to trust-region problems and signal processing.

Parametry knihy

Zařazení knihy Knihy v angličtině Technology, engineering, agriculture Energy technology & engineering Electrical engineering

• Plný název: Low-Rank Semidefinite Programming
• Podnázev: Theory and Applications
• Autor: Alex Lemon, Anthony Man-Cho So, Yinyu Ye
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 180
• EAN: 9781680831368
• ISBN: 1680831364
• ID: 13936759
• Nakladatelství: now publishers Inc
• Hmotnost: 280 g
• Rozměry: 158 × 234 × 14 mm
• Datum vydání: 04. August 2016

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