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- W4280497101 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.We proved that our algorithm has $mathbf{O}left( qsn^{frac{sq+1}{2sq}}log left( frac{n}{epsilon }right) right) $ iteration bound for large-update methods and $mathbf{O}left(q^{2}s^{2}sqrt{n}log left( frac{n}{epsilon }right) right) $ iteration bound for small-update methods. Finally, for its numerical tests, some strategies are used and indicate that the algorithm is efficient." @default.
- W4280497101 created "2022-05-22" @default.
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- W4280497101 date "2022-05-12" @default.
- W4280497101 modified "2023-10-16" @default.
- W4280497101 title "A PRIMAL-DUAL IPMS FOR SDO PROBLEM BASED ON A NEW KERNEL FUNCTION WITH A LOGARITHMIC BARRIER TERM" @default.
- W4280497101 doi "https://doi.org/10.37418/amsj.11.5.3" @default.
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