http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
PARALLEL SECTIONS HOMOTHETY BODIES WITH MINIMAL MAHLER VOLUME IN ℝ<sup>n</sup>
Lin, Youjiang,Leng, Gangsong Korean Mathematical Society 2014 대한수학회보 Vol.51 No.4
In the paper, we define a class of convex bodies in $\mathbb{R}^n$-parallel sections homothety bodies, and for some special parallel sections homothety bodies, we prove that n-cubes have the minimal Mahler volume.
ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN R2
Youjiang Lin,Gangsong Leng 대한수학회 2014 대한수학회보 Vol.51 No.1
In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in R2 and of its polar body is minimal if and only if K is a parallelogram.
A NOVEL FILLED FUNCTION METHOD FOR GLOBAL OPTIMIZATION
Youjiang Lin,Yongjian Yang,Liansheng Zhang 대한수학회 2010 대한수학회지 Vol.47 No.6
This paper considers the unconstrained global optimization with the revised filled function methods. The minimization sequence could leave from a local minimizer to a better minimizer of the objective function through minimizing an auxiliary function constructed at the local minimizer. Some promising numerical results are also included.
A NOVEL FILLED FUNCTION METHOD FOR GLOBAL OPTIMIZATION
Lin, Youjiang,Yang, Yongjian,Zhang, Liansheng Korean Mathematical Society 2010 대한수학회지 Vol.47 No.6
This paper considers the unconstrained global optimization with the revised filled function methods. The minimization sequence could leave from a local minimizer to a better minimizer of the objective function through minimizing an auxiliary function constructed at the local minimizer. Some promising numerical results are also included.
PARALLEL SECTIONS HOMOTHETY BODIES WITH MINIMAL MAHLER VOLUME IN Rn
Youjiang Lin,Gangsong Leng 대한수학회 2014 대한수학회보 Vol.51 No.4
In the paper, we define a class of convex bodies in Rn–parallel sections homothety bodies, and for some special parallel sections homoth- ety bodies, we prove that n-cubes have the minimal Mahler volume.
ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ<sup>2</sup>
Lin, Youjiang,Leng, Gangsong Korean Mathematical Society 2014 대한수학회보 Vol.51 No.1
In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in $\mathbb{R}^2$ and of its polar body is minimal if and only if K is a parallelogram.
A FILLED FUNCTION METHOD FOR BOX CONSTRAINED NONLINEAR INTEGER PROGRAMMING
Lin, Youjiang,Yang, Yongjian Korean Mathematical Society 2011 대한수학회지 Vol.48 No.5
A new filled function method is presented in this paper to solve box-constrained nonlinear integer programming problems. It is shown that for a given non-global local minimizer, a better local minimizer can be obtained by local search starting from an improved initial point which is obtained by locally solving a box-constrained integer programming problem. Several illustrative numerical examples are reported to show the efficiency of the present method.
A FILLED FUNCTION METHOD FOR BOX CONSTRAINED NONLINEAR INTEGER PROGRAMMING
Youjiang Lin,Yongjian Yang 대한수학회 2011 대한수학회지 Vol.48 No.5
A new lled function method is presented in this paper to solve box-constrained nonlinear integer programming problems. It is shown that for a given non-global local minimizer, a better local min-imizer can be obtained by local search starting from an improved initial point which is obtained by locally solving a box-constrained integer pro-gramming problem. Several illustrative numerical examples are reported to show the efficiency of the present method.
A STABILITY RESULT FOR P-CENTROID BODIES
Guo, Lujun,Leng, Gangsong,Lin, Youjiang Korean Mathematical Society 2018 대한수학회보 Vol.55 No.1
In this paper, we prove a stability result for p-centroid bodies with respect to the Hausdorff distance. As its application, we show that the symmetric convex body is determined by its p-centroid body.
A stability result for p-centroid bodies
LuJun Guo,Gangsong Leng,Youjiang Lin 대한수학회 2018 대한수학회보 Vol.55 No.1
In this paper, we prove a stability result for $p$-centroid bodies with respect to the Hausdorff distance. As its application, we show that the symmetric convex body is determined by its $p$-centroid body.