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Aspects of Semidefinite Programming: Interior Point Algorithms and Selected Applications

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Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming.

In this monograph the basic theory of interior point algorithms is explained. This includes the latest results on the properties of the ce...