Discrete Hessian Matrix for L-Convex Functions

Satoko MORIGUCHI; Kazuo MUROTA

doi:10.1093/ietfec/e88-a.5.1104

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Satoko MORIGUCHI, Kazuo MUROTA, "Discrete Hessian Matrix for L-Convex Functions" in IEICE TRANSACTIONS on Fundamentals, vol. E88-A, no. 5, pp. 1104-1108, May 2005, doi: 10.1093/ietfec/e88-a.5.1104.
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.5.1104/_p

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@ARTICLE{e88-a_5_1104,
author={Satoko MORIGUCHI, Kazuo MUROTA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Discrete Hessian Matrix for L-Convex Functions},
year={2005},
volume={E88-A},
number={5},
pages={1104-1108},
abstract={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.},
keywords={},
doi={10.1093/ietfec/e88-a.5.1104},
ISSN={},
month={May},}

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TY - JOUR
TI - Discrete Hessian Matrix for L-Convex Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1104
EP - 1108
AU - Satoko MORIGUCHI
AU - Kazuo MUROTA
PY - 2005
DO - 10.1093/ietfec/e88-a.5.1104
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2005
AB - 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.
ER -