Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint

Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint

A nonconvex quadratically constrained quadratic programming (QCQP) with one constraint is usually solved via a dual SDP problem, or Moré’s algorithm based on iteratively solving linear systems. In this work we introduce an algorithm for QCQP that requires finding just one eigenpair of a generalized...

Mô tả đầy đủ

Chi tiết về thư mục
Những tác giả chính:	Adachi, S, Nakatsukasa, Y
Định dạng:	Journal article
Ngôn ngữ:	English
Được phát hành:	Springer Link 2017

Những quyển sách tương tự

On Convergence of Inexact Augmented Lagrangians for Separable and Equality Convex QCQP Problems without Constraint Qualification
Bằng: Zdenek Dostal, et al.
Được phát hành: (2017-01-01)

Optimization of Weighting Window Functions for SAR Imaging via QCQP Approach
Bằng: Jin Liu, et al.
Được phát hành: (2020-01-01)

Fast and accurate randomized algorithms for linear systems and eigenvalue problems
Bằng: Nakatsukasa, Y, et al.
Được phát hành: (2024)

Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem
Bằng: Adachi, S, et al.
Được phát hành: (2017)

Finding Optimal Zone II Settings for Distance Relays in Coordination With Directional Overcurrent Relays Using QCQP Algorithm
Bằng: N. Praneeth, et al.
Được phát hành: (2024-01-01)

Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems
Bằng: Nakatsukasa, Y, et al.
Được phát hành: (2019)

Twice is enough for dangerous eigenvalues
Bằng: Horning, A, et al.
Được phát hành: (2022)

Robust Widely Linear Beamforming via the Techniques of Iterative QCQP and Shrinkage for Steering Vector Estimation
Bằng: Jiangbo Liu, et al.
Được phát hành: (2018-01-01)

Rectangular eigenvalue problems
Bằng: Hashemi, B, et al.
Được phát hành: (2022)

Stable polefinding and rational least-squares fitting via eigenvalues
Bằng: Ito, S, et al.
Được phát hành: (2018)

Least-squares spectral methods for ODE eigenvalue problems
Bằng: Hashemi, B, et al.
Được phát hành: (2022)

An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity
Bằng: Cartis, C, et al.
Được phát hành: (2012)

A Quantum-Behaved Neurodynamic Approach for Nonconvex Optimization with Constraints
Bằng: Zheng Ji, et al.
Được phát hành: (2019-07-01)

Hyperspectral Unmixing Via Nonconvex Sparse and Low-Rank Constraint
Bằng: Hongwei Han, et al.
Được phát hành: (2020-01-01)

ON THE SET-SEMIDEFINITE REPRESENTATION OF NONCONVEX QUADRATIC PROGRAMS WITH CONE CONSTRAINTS
Bằng: Gabriele Eichfelder, et al.
Được phát hành: (2010-12-01)

Solving two-parameter eigenvalue problems using an alternating method
Bằng: Eisenmann, H, et al.
Được phát hành: (2022)

Approximate Message Passing Algorithm for Nonconvex Regularization
Bằng: Hui Zhang, et al.
Được phát hành: (2019-01-01)

Solving generalized CDT problems via two-parameter eigenvalues
Bằng: Sakaue, S, et al.
Được phát hành: (2016)

Robust strong duality for nonconvex optimization problem under data uncertainty in constraint
Bằng: Yanfei Chai
Được phát hành: (2021-08-01)

Regression-based LP Solver for Chance-Constrained Finite Horizon Optimal Control with Nonconvex Constraints
Bằng: Banerjee, Ashis, et al.
Được phát hành: (2011)

Stochastic Bigger Subspace Algorithms for Nonconvex Stochastic Optimization
Bằng: Gonglin Yuan, et al.
Được phát hành: (2021-01-01)

An accelerating algorithm for globally solving nonconvex quadratic programming
Bằng: Li Ge, et al.
Được phát hành: (2018-07-01)

A Nonconvex Implementation of Sparse Subspace Clustering: Algorithm and Convergence Analysis
Bằng: Xiaoge Deng, et al.
Được phát hành: (2020-01-01)

Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
Bằng: Ying Zhao, et al.
Được phát hành: (2017-04-01)

Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming
Bằng: Zhichuan Zhu, et al.
Được phát hành: (2020-01-01)

Distributed Optimization Methods for Nonconvex Problems with Inequality Constraints over Time-Varying Networks
Bằng: Jueyou Li, et al.
Được phát hành: (2017-01-01)

Distributed Finite-Time Rotating Encirclement Control of Multiagent Systems With Nonconvex Input Constraints
Bằng: Tengfei Zhang, et al.
Được phát hành: (2019-01-01)

Nonconvex robust optimization
Bằng: Teo, Kwong Meng
Được phát hành: (2008)

Analysis of critical points for nonconvex optimization
Bằng: Å imÅ ek, Alp
Được phát hành: (2006)

Rounding-based heuristics for nonconvex MINLPs
Bằng: Nannicini, Giacomo, et al.
Được phát hành: (2016)

A two-level distributed algorithm for nonconvex constrained optimization
Bằng: Sun, Kaizhao, et al.
Được phát hành: (2022)

Matrix completion with nonconvex regularization: spectral operators and scalable algorithms
Bằng: Mazumder, Rahul, et al.
Được phát hành: (2021)

Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints
Bằng: Cartis, C, et al.
Được phát hành: (2020)

Distributed Continuous-Time Containment Control of Heterogeneous Multiagent Systems with Nonconvex Control Input Constraints
Bằng: Xue Li, et al.
Được phát hành: (2022-01-01)

Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
Bằng: Zhongxi Shen, et al.
Được phát hành: (2024-01-01)

Containment Control for Discrete-Time Multi-Agent Systems with Nonconvex Control Input and Position Constraints
Bằng: Ning Gao, et al.
Được phát hành: (2022-06-01)

Optimal Portfolio Management for Engineering Problems Using Nonconvex Cardinality Constraint: A Computing Perspective
Bằng: Ameer Hamza Khan, et al.
Được phát hành: (2020-01-01)

Magnetic Resonance Image Denoising Based on Laplacian Prior Sparsity Constraint and Nonconvex Second-Order TV Penalty
Bằng: Yumeng Ge, et al.
Được phát hành: (2023-07-01)

Monogamy of nonconvex entanglement measures
Bằng: Li-Min Gao, et al.
Được phát hành: (2021-12-01)

On Convex Relaxations in Nonconvex Optimization
Bằng: T. Westerlund, et al.
Được phát hành: (2011-04-01)