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Semidefinite optimization and convex algebraic geometry. (English) Zbl 1260.90006

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The articles of this volume will be reviewed individually.
Indexed articles:
Blekherman, Grigoriy; Parrilo, Pablo A.; Thomas, Rekha R., What is convex algebraic geometry?, 1-2 [Zbl 1360.90186]
Parrilo, Pablo A., Semidefinite optimization, 3-46 [Zbl 1360.90193]
Parrilo, Pablo A., Polynomial optimization, sums of squares, and applications, 47-157 [Zbl 1360.90194]
Blekherman, Grigoriy, Nonnegative polynomials and sums of squares, 159-202 [Zbl 1360.13058]
Rostalski, Philipp; Sturmfels, Bernd, Dualities, 203-249 [Zbl 1360.90195]
Nie, Jiawang, Semidefinite representability, 251-291 [Zbl 1360.90192]
Gouveia, João; Thomas, Rekha R., Spectrahedral approximations of convex hulls of algebraic sets, 293-340 [Zbl 1360.90189]
Helton, William; Klep, Igor; McCullough, Scott, Free convex algebraic geometry, 341-405 [Zbl 1360.14008]
Putinar, Mihai, Sums of Hermitian squares: old and new, 407-469 [Zbl 1360.11066]

MSC:
90-06 Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming
90C22 Semidefinite programming
52B55 Computational aspects related to convexity
14P05 Real algebraic sets
00B15 Collections of articles of miscellaneous specific interest
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