Convex optimization boyd citation

  • Geometrically, a function is convex if a line segment drawn from any point (x, f(x)) to another point (y, f(y)) -- called the chord from x to y -- lies on or above the graph of f, as in the picture below: Algebraically, f is convex if, for any x and y, and any t between 0 and 1, f( tx + (1-t)y ) \x26lt;= t f(x) + (1-t) f(y).

Is convex optimization a good book?

'Boyd and Vandenberghe have written a beautiful book that I strongly recommend to everyone interested in optimization and computational mathematics: Convex Optimization is a very readable introduction to this modern field of research

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Where can I find a reference on convex optimization?

More references on applications of convex optimization can be found in chapters 4 and 6–8

High quality implementations of recent interior-point methods for convex optimization problems are available in the LOQO [Van97] and MOSEK [MOS02] software packages, and the codes listed in chapter 11


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