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Hybrid alternate projection algorithm and its application for practical conformal array pattern synthesis 认领 引用
1
作者 Fei Zhao Shunlian Chai +2 位作者 Huiying Qi Ke Xiao Junjie Mao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第5期625-632,共8页
Based on the fabricated 12-element cavity-backed microstrip sector cylinder array,a novel hybrid alternate projection algorithm（HAPA）,which combines analytical method with numerical techniques effectively,is propose... Based on the fabricated 12-element cavity-backed microstrip sector cylinder array,a novel hybrid alternate projection algorithm（HAPA）,which combines analytical method with numerical techniques effectively,is proposed for synthesizing the pattern of practical conformal array.The algorithm applies the variable direction aperture projection method with mutual coupling correction techniques to provide the good initial excitations of elements to the enhanced alternate projection algorithm（EAPA）.In order to do further optimization,which improves the convergent speed of the algorithm significantly.Finally,the HAPA has been applied to the fabricated sector cylinder array with mutual coupling considered.The results of synthesized patterns,such as low sidelobe with null points formed pattern,beam scanning with low sidelobe pattern and the shaped beam pattern are presented.It demonstrates the validity of HAPA in practical conformal array synthesis. 展开更多
关键词 conformal array alternate projection algorithm aperture projection method pattern synthesis mutual coupling
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An Alternating Gradient Projection Algorithm with Momentum for Nonconvex–Concave Minimax Problems 认领 引用
2
作者 Jue-You Li Tao Xie 《Journal of the Operations Research Society of China》 EI CSCD 2026年第2期632-652,共21页
The growing interest in addressing minimax optimization problem has been fueled by recent applications in machine learning.Although extensively studied in the convex–concave regime,where a global solution can be effi... The growing interest in addressing minimax optimization problem has been fueled by recent applications in machine learning.Although extensively studied in the convex–concave regime,where a global solution can be efficiently computed,this paper delves into the minimax problem within the nonconvex–concave setup.We propose an alternating gradient projection algorithm with momentum(M-AGP),belonging to single-loop algorithms that not only are easier to implement but also require only the computation of gradient projection updates.We demonstrate that the proposed algorithm identifies an-stationary point of the nonconvex–strongly concave minimax problem in O(ε-2)iterations,representing the best-known rate in the literature.Finally,we utilize two test problems,namely robust nonlinear regression and an image classification problem,to showcase the efficacy of the proposed algorithm. 展开更多
关键词 Minimax optimization Alternating gradient projection algorithm Gradient descent–ascent algorithm Iteration complexity
Dykstra’s Algorithm for the Optimal Approximate Symmetric Positive Semidefinite Solution of a Class of Matrix Equations 认领 引用
3
作者 Chunmei Li Xuefeng Duan Zhuling Jiang 《Advances in Linear Algebra & Matrix Theory》 2016年第1期1-10,共10页
Dykstra’s alternating projection algorithm was proposed to treat the problem of finding the projection of a given point onto the intersection of some closed convex sets. In this paper, we first apply Dykstra’s alter... Dykstra’s alternating projection algorithm was proposed to treat the problem of finding the projection of a given point onto the intersection of some closed convex sets. In this paper, we first apply Dykstra’s alternating projection algorithm to compute the optimal approximate symmetric positive semidefinite solution of the matrix equations AXB = E, CXD = F. If we choose the initial iterative matrix X0 = 0, the least Frobenius norm symmetric positive semidefinite solution of these matrix equations is obtained. A numerical example shows that the new algorithm is feasible and effective. 展开更多
关键词 Matrix Equation Dykstra’s Alternating Projection Algorithm Optimal Approximate Solution Least Norm Solution
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A NOVEL DIRECTION OF ARRIVAL ESTIMATOR 认领 引用 被引量：1
4
作者 ShaoChao LuGuangyue BaoZheng 《Journal of Electronics(China)》 2004年第2期97-103,共7页
A Direction Of Arrival(DOA) estimator based on the signal separation principle is introduced, and one of representative multidimensional estimators is established by introducing Matrix Operator projection signal steer... A Direction Of Arrival(DOA) estimator based on the signal separation principle is introduced, and one of representative multidimensional estimators is established by introducing Matrix Operator projection signal steering Vector Excision(MOVE) operation. Thanks to Alternating Separation (AS) technique, the multidimensional problem is transformed into a series of one-dimensional optimal ones. Furthermore, an equivalent simplified implementation of the AS is obtained. Finally the definiteness and uniqueness of the estimator are analyzed. 展开更多
关键词 Matrix Operator projection signal steering Vector Excision(MOVE) estimator Alternating Separation(AS) algorithm Alternating projection algorithm
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