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In this paper, we use the splitting method to solve support vector machine inreproducing kernel Banach space with lower semi-continuous loss function. Weequivalently transfer support vector machines in reproducing kernel Banachspace with lower semi-continuous loss function to a finite-dimensional tensorOptimization and propose the splitting method based on alternating directionmethod of multipliers. By Kurdyka-Lojasiewicz inequality, the iterativesequence obtained by this splitting method is globally convergent to astationary point if the loss function is lower semi-continuous and subanalytic.Finally, several numerical performances demonstrate the effectiveness.

Splitting Method for Support Vector Machine in Reproducing Kernel Banach Space with Lower Semi-continuous Loss Function