Nonsmooth Newton's Method and Semidefinite ... - Semantic Scholar

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Abstract— We introduce basic ideas of a nonsmooth Newton's method and its application in solving semidefinite optimization. (SDO) problems. In particular, the ...
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Nonsmooth Newton’s Method and Semidefinite Optimization Jie Sun

Abstract— We introduce basic ideas of a nonsmooth Newton’s method and its application in solving semidefinite optimization (SDO) problems. In particular, the method can be used to solve both linear and nonlinear semidefinite complementarity problems. We also survey recent theoretical results in matrix functions and stability of SDO that are stemed from the research on the matrix form of the nonsmooth Newton’s method.

where K ∗ is the dual cone of C; i.e., K ∗ ≡ {y ∈

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