A PRIMAL-DUAL IPMS FOR SDO PROBLEM BASED ON A NEW KERNEL FUNCTION WITH A LOGARITHMIC BARRIER TERM
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Advances in Mathematics: Scientific Journal
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Abstract
In this paper, we consider primal-dual Interior Point Method (IPMs)
for semidefinite optimization problem (SDO) problems, based on a new kernel
function with a logarithmic barrier term, which play an important role for generating
a new design of primaldual (IPM) algorithms. New search directions and
proximity functions are proposed, based on this kernel function.