Liu, Jin An integral descent method for nonsmooth optimization. (Chinese. English summary) Zbl 0728.90080 Acta Math. Appl. Sin. 13, No. 4, 444-455 (1990). Summary: A new concept - integrality along some directions - is suggested: On the basis of obtaining subgradients by using this integrality concept and the basic idea of the bundle method, we give two descent algorithms for unconstrained non-smooth optimization. These two algorithms can be practically implemented for Lipschitz continuous functions. MSC: 90C30 Nonlinear programming 90-08 Computational methods for problems pertaining to operations research and mathematical programming 49J52 Nonsmooth analysis Keywords:integrality along some directions; subgradients; bundle method; descent algorithms; unconstrained non-smooth optimization; Lipschitz continuous functions PDFBibTeX XMLCite \textit{J. Liu}, Acta Math. Appl. Sin. 13, No. 4, 444--455 (1990; Zbl 0728.90080)