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...

Bibliografiset tiedot
Päätekijät:	Adachi, S, Nakatsukasa, Y
Aineistotyyppi:	Journal article
Kieli:	English
Julkaistu:	Springer Link 2017

Samankaltaisia teoksia

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

Optimization of Weighting Window Functions for SAR Imaging via QCQP Approach
Tekijä: Jin Liu, et al.
Julkaistu: (2020-01-01)

Fast and accurate randomized algorithms for linear systems and eigenvalue problems
Tekijä: Nakatsukasa, Y, et al.
Julkaistu: (2024)

Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem
Tekijä: Adachi, S, et al.
Julkaistu: (2017)

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

Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems
Tekijä: Nakatsukasa, Y, et al.
Julkaistu: (2019)

Twice is enough for dangerous eigenvalues
Tekijä: Horning, A, et al.
Julkaistu: (2022)

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

Rectangular eigenvalue problems
Tekijä: Hashemi, B, et al.
Julkaistu: (2022)

Stable polefinding and rational least-squares fitting via eigenvalues
Tekijä: Ito, S, et al.
Julkaistu: (2018)

Least-squares spectral methods for ODE eigenvalue problems
Tekijä: Hashemi, B, et al.
Julkaistu: (2022)

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

A Quantum-Behaved Neurodynamic Approach for Nonconvex Optimization with Constraints
Tekijä: Zheng Ji, et al.
Julkaistu: (2019-07-01)

Hyperspectral Unmixing Via Nonconvex Sparse and Low-Rank Constraint
Tekijä: Hongwei Han, et al.
Julkaistu: (2020-01-01)

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

Solving two-parameter eigenvalue problems using an alternating method
Tekijä: Eisenmann, H, et al.
Julkaistu: (2022)

Approximate Message Passing Algorithm for Nonconvex Regularization
Tekijä: Hui Zhang, et al.
Julkaistu: (2019-01-01)

Solving generalized CDT problems via two-parameter eigenvalues
Tekijä: Sakaue, S, et al.
Julkaistu: (2016)

Robust strong duality for nonconvex optimization problem under data uncertainty in constraint
Tekijä: Yanfei Chai
Julkaistu: (2021-08-01)

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

Stochastic Bigger Subspace Algorithms for Nonconvex Stochastic Optimization
Tekijä: Gonglin Yuan, et al.
Julkaistu: (2021-01-01)

An accelerating algorithm for globally solving nonconvex quadratic programming
Tekijä: Li Ge, et al.
Julkaistu: (2018-07-01)

A Nonconvex Implementation of Sparse Subspace Clustering: Algorithm and Convergence Analysis
Tekijä: Xiaoge Deng, et al.
Julkaistu: (2020-01-01)

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

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

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

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

Nonconvex robust optimization
Tekijä: Teo, Kwong Meng
Julkaistu: (2008)

Analysis of critical points for nonconvex optimization
Tekijä: Å imÅ ek, Alp
Julkaistu: (2006)

Rounding-based heuristics for nonconvex MINLPs
Tekijä: Nannicini, Giacomo, et al.
Julkaistu: (2016)

A two-level distributed algorithm for nonconvex constrained optimization
Tekijä: Sun, Kaizhao, et al.
Julkaistu: (2022)

Matrix completion with nonconvex regularization: spectral operators and scalable algorithms
Tekijä: Mazumder, Rahul, et al.
Julkaistu: (2021)

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

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

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

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

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

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

Monogamy of nonconvex entanglement measures
Tekijä: Li-Min Gao, et al.
Julkaistu: (2021-12-01)

On Convex Relaxations in Nonconvex Optimization
Tekijä: T. Westerlund, et al.
Julkaistu: (2011-04-01)