Plane Section Curves on Surfaces of NCP Functions

Shun Wei Li; Yu Lin Chang; Jein Shan Chen

doi:10.3390/axioms11100557

Plane Section Curves on Surfaces of NCP Functions

Shun Wei Li, Yu Lin Chang^*, Jein Shan Chen

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The goal of this paper is to investigate the curves intersected by a vertical plane with the surfaces based on certain NCP functions. The convexity and differentiability of these curves are studied as well. In most cases, the inflection points of the curves cannot be expressed exactly. Therefore, we instead estimate the interval where the curves are convex under this situation. Then, with the help of differentiability and convexity, we obtain the local minimum or maximum of the curves accordingly. The study of these curves is very useful to binary quadratic programming.

Original language	English
Article number	557
Journal	Axioms
Volume	11
Issue number	10
DOIs	https://doi.org/10.3390/axioms11100557
Publication status	Published - 2022 Oct

Keywords

NCP functions
binary quadratic programming
convexity
differentiability
section curves

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

Access to Document

10.3390/axioms11100557

Cite this

@article{8eedd12346314252a28b269fbed175f6,

title = "Plane Section Curves on Surfaces of NCP Functions",

abstract = "The goal of this paper is to investigate the curves intersected by a vertical plane with the surfaces based on certain NCP functions. The convexity and differentiability of these curves are studied as well. In most cases, the inflection points of the curves cannot be expressed exactly. Therefore, we instead estimate the interval where the curves are convex under this situation. Then, with the help of differentiability and convexity, we obtain the local minimum or maximum of the curves accordingly. The study of these curves is very useful to binary quadratic programming.",

keywords = "NCP functions, binary quadratic programming, convexity, differentiability, section curves",

author = "Li, {Shun Wei} and Chang, {Yu Lin} and Chen, {Jein Shan}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",

year = "2022",

month = oct,

doi = "10.3390/axioms11100557",

language = "English",

volume = "11",

journal = "Axioms",

issn = "2075-1680",

publisher = "MDPI AG",

number = "10",

}

TY - JOUR

T1 - Plane Section Curves on Surfaces of NCP Functions

AU - Li, Shun Wei

AU - Chang, Yu Lin

AU - Chen, Jein Shan

PY - 2022/10

Y1 - 2022/10

N2 - The goal of this paper is to investigate the curves intersected by a vertical plane with the surfaces based on certain NCP functions. The convexity and differentiability of these curves are studied as well. In most cases, the inflection points of the curves cannot be expressed exactly. Therefore, we instead estimate the interval where the curves are convex under this situation. Then, with the help of differentiability and convexity, we obtain the local minimum or maximum of the curves accordingly. The study of these curves is very useful to binary quadratic programming.

AB - The goal of this paper is to investigate the curves intersected by a vertical plane with the surfaces based on certain NCP functions. The convexity and differentiability of these curves are studied as well. In most cases, the inflection points of the curves cannot be expressed exactly. Therefore, we instead estimate the interval where the curves are convex under this situation. Then, with the help of differentiability and convexity, we obtain the local minimum or maximum of the curves accordingly. The study of these curves is very useful to binary quadratic programming.

KW - NCP functions

KW - binary quadratic programming

KW - convexity

KW - differentiability

KW - section curves

UR - http://www.scopus.com/inward/record.url?scp=85140386203&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85140386203&partnerID=8YFLogxK

U2 - 10.3390/axioms11100557

DO - 10.3390/axioms11100557

M3 - Article

AN - SCOPUS:85140386203

SN - 2075-1680

VL - 11

JO - Axioms

JF - Axioms

IS - 10

M1 - 557

ER -

Plane Section Curves on Surfaces of NCP Functions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this