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Discrete Hessian Matrix for L-Convex Functions Satoko MORIGUCHI Kazuo MUROTA Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E88-A No.5 pp.1104-1108 Publication Date: 2005/05/01 Online ISSN: DOI: 10.1093/ietfec/e88-a.5.1104 Print ISSN: 0916-8508 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: discrete optimization, discrete convex function, Hessian matrix, local quadratic expansion, Full Text: PDF(124.1KB)>>
Summary: L-convex functions are nonlinear discrete functions on integer points that are computationally tractable in optimization. In this paper, a discrete Hessian matrix and a local quadratic expansion are defined for L-convex functions. We characterize L-convex functions in terms of the discrete Hessian matrix and the local quadratic expansion. | ||||||||||
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