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The dismantling of the apartheid regime in South Africa caused massive transformation in both geographical and economic terms, not only in this country but also in the region as a whole. As the post-apartheid government enters its second term, this captivating volume assesses its progress in unravelling the geography of apartheid, both in South Africa itself and in its relationships with other countries in Southern Africa and Africa. It also considers the ways in which South Africa, now that it is no longer a pariah state, has begun to position itself within the current global economy....

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...