지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
In this paper, we improve the full-Newton step infeasible interior-point algorithm proposed by Mansouri et al. \cite{Arzani}. The algorithm takes only one full-Newton step in a major iteration. To perform this step, the algorithm adopts the largest logical value for the barrier update parameter $\theta$. This value is adapted with the value of proximity function $\delta$ related to $(x\k y\k s)$ in current iteration of the algorithm. We derive a suitable interval to change the parameter $\theta$ from iteration to iteration. This leads to more flexibilities in the algorithm, compared to the situation that $\theta$ takes a default fixed value.
목차
등록된 정보가 없습니다.
참고문헌 (15)
참고문헌 신청
Zs. Darvay / 2014 / An infeasible full-Newton step algorithm for linear optimization with one centering step in major iteration / Studia Univ. Babes Bolyai Inform 59(1):28~45
G. Gu / 2011 / Full Nesterov-Todd step infeasible interior-point methods for symmetric optimization / European J. Oper. Res 214(3):473~484
N. K. Karmarkar / 1984 / A new polynomial-time algorithm for linear programming / Combina-torica 4(4):373~395
H. Mansouri / 2007 / A simplified O(nL) infeasible interior-point algorithm for linear optimization using full Newton steps / Optim. Methods Softw 22(3):519~530
H. Mansouri / 2013 / An adaptive infeasible interior-point algorithm with full-Newton step for linear optimization / Optimization 62(2):285~297
G. Gu / 2011 / Full Nesterov-Todd step infeasible interior-point methods for symmetric optimization / European J. Oper. Res 214(3):473~484
N. K. Karmarkar / 1984 / A new polynomial-time algorithm for linear programming / Combina-torica 4(4):373~395
H. Mansouri / 2007 / A simplified O(nL) infeasible interior-point algorithm for linear optimization using full Newton steps / Optim. Methods Softw 22(3):519~530
H. Mansouri / 2013 / An adaptive infeasible interior-point algorithm with full-Newton step for linear optimization / Optimization 62(2):285~297
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
ACCELERATION OF MACHINE LEARNING ALGORITHMS BY TCHEBYCHEV ITERATION TECHNIQUE
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .03
-
CONVERGENCE THEOREMS FOR SP -ITERATION SCHEME IN A ORDERED HYPERBOLIC METRIC SPACE
Nonlinear Functional Analysis and Applications
2022 .01
-
On positive definite solutions of a class of nonlinear matrix equation
대한수학회보
2018 .01
-
APPROXIMATION OF FIXED POINTS AND THE SOLUTION OF A NONLINEAR INTEGRAL EQUATION
Nonlinear Functional Analysis and Applications
2022 .01
-
Two general iteration schemes for multi-valued maps in hyperbolic spaces
대한수학회논문집
2016 .01
-
Newton Schulz method for solving nonlinear matrix equation $X^p + {A^*}XA=Q$
대한수학회지
2018 .01
-
Some new identities concerning the Horadam sequence and its companion sequence
대한수학회논문집
2019 .01
-
A CLASS OF MAPPINGS BETWEEN R<sub>z</sub>-SUPERCONTINUOUS FUNCTIONS AND R<sub>δ</sub>-SUPERCONTINUOUS FUNCTIONS
호남수학학술지
2017 .01
-
Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process
한국수학논문집
2019 .01
-
Estimation of degree of approximation of functions belonging to Lipschitz class by Nörlund Cesaro product summability means
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2022 .12
-
On four new mock theta functions
대한수학회보
2020 .01
-
On the convergence of Ishikawa iteration with errors for real continuous functions
대한수학회논문집
2024 .04
-
Local convergence of functional iterations for solving a quadratic matrix equation
대한수학회보
2017 .01
-
CONVERGENCE THEOREMS FOR GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY HYPERBOLIC SPACES
Nonlinear Functional Analysis and Applications
2024 .03
-
Evaluations of the cubic continued fraction by some theta function identities
한국수학논문집
2019 .01
-
Evaluations of the cubic continued fraction by some theta function identities: Revisited
순수 및 응용수학
2021 .01
-
전산모사를 이용한 레이저 주사광학계용 F-theta 렌즈의 성능 개선 연구
대한시과학회지
2021 .01
-
STRONG CONVERGENCE THEOREMS FOR A QUASI CONTRACTIVE TYPE MAPPING EMPLOYING A NEW ITERATIVE SCHEME WITH AN APPLICATION
호남수학학술지
2017 .01
-
Common fixed point theorems for complex-valued mappings with applications
한국수학논문집
2022 .06
-
INERTIAL PICARD NORMAL S-ITERATION PROCESS
Nonlinear Functional Analysis and Applications
2022 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0