Search Results - quadratic minimization problems with orthogonality constraints

A block Lanczos method for large-scale quadratic minimization problems with orthogonality constraints by Feng, Bo, Wu, Gang

“…Quadratic minimization problems with orthogonality constraints (QMPO) play an important role in many applications of science and engineering…”
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A feasible method for optimization with orthogonality constraints by Wen, Zaiwen, Yin, Wotao

“…Minimization with orthogonality constraints (e.g., ) and/or spherical constraints (e.g…”
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A Splitting Method for Orthogonality Constrained Problems by Lai, Rongjie, Osher, Stanley

“…Orthogonality constrained problems are widely used in science and engineering. However, it is challenging to solve these problems efficiently due to the non-convex constraints…”
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A framework of constraint preserving update schemes for optimization on Stiefel manifold by Jiang, Bo, Dai, Yu-Hong

“… The numerical tests on the nearest low-rank correlation matrix problem, the Kohn–Sham total energy minimization and a specific problem from statistics demonstrate the efficiency…”
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Implicit steepest descent algorithm for optimization with orthogonality constraints by Oviedo, Harry

“…Optimization problems with orthogonality constraints appear widely in applications from science and engineering…”
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The Geometry of Algorithms with Orthogonality Constraints by Edelman, Alan, Arias, Tomás A., Smith, Steven T.

“… These manifolds represent the constraints that arise in such areas as the symmetric eigenvalue problem, nonlinear eigenvalue problems, electronic structures computations, and signal processing…”
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A class of smooth exact penalty function methods for optimization problems with orthogonality constraints by Xiao, Nachuan, Liu, Xin, Yuan, Ya-xiang

“…Updating the augmented Lagrangian multiplier by closed-form expression yields efficient first-order infeasible approach for optimization problems with orthogonality constraints…”
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Quasi-time-optimal steering law for low-thrust orbit transfer considering angular momentum and torque constraints by Kitamura, Kenji, Yamada, Katsuhiko, Shima, Takeya

“… All these constraints are satisfied by introducing a structure similar to Baumgarte's stabilization method and by formulating a quadratically constrained quadratic programming problem which can be…”
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Proximal Point Algorithm with Euclidean Distance on the Stiefel Manifold by Oviedo, Harry

“… Numerical experiments on linear eigenvalue problems and the minimization of sums of heterogeneous quadratic functions show that the developed algorithm is competitive…”
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Effective Algorithms for Solving Trace Minimization Problem in Multivariate Statistics by Wang, Kai, Zhou, Xue-lin, Wen, Ya-qiong, Li, Jiao-fen

“…This paper develops two novel and fast Riemannian second-order approaches for solving a class of matrix trace minimization problems with orthogonality constraints, which is widely applied…”
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Orthogonal nonnegative matrix factorization problems for clustering: A new formulation and a competitive algorithm by Dehghanpour, Ja’far, Mahdavi-Amiri, Nezam

“…Orthogonal Nonnegative Matrix Factorization (ONMF) with orthogonality constraints on a matrix has been found to provide better clustering results over existing clustering problems…”
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Robust orthogonal nonnegative matrix tri-factorization for data representation by Peng, Siyuan, Ser, Wee, Chen, Badong, Lin, Zhiping

“… We adopt the half-quadratic technique to solve the optimization problem of CNMTF, and derive the multiplicative update rules…”
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MIMO Radar Transmit Beampattern Shaping for Spectrally Dense Environments by Raei, Ehsan, Sedighi, Saeid, Alaee-Kerahroodi, Mohammad, Bhavani Shankar, M. R.

“… The problem formulation leads to a nonconvex quadratic fractional programming. We propose an effective iterative to solve the problem, where each iteration is composed of a semidefinite programming followed by eigenvalue decomposition. Some numerical simulations are provided to illustrate the superior performance of our proposed over the state of the art…”
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Manifold Quadratic Penalty Alternating Minimization for Sparse Principal Component Analysis by Tarmizi, Adam

“…Optimization on the Stiefel manifold or with orthogonality constraints is an important problem in many signal processing and data analysis applications such as Sparse Principal Component Analysis (SPCA…”
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Relative Entropy-Based Constant-Envelope Beamforming for Target Detection in Large-Scale MIMO Radar With Low-Resoultion ADCs by Cheng, Ziyang, Wu, Linlong, Wang, Bowen, Xie, Julan, Li, Huiyong

“… We formulate our optimization problem by maximizing the relative entropy, subject to the constant envelope and orthogonality constraints…”
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On Lagrangian Relaxation of Quadratic Matrix Constraints by Anstreicher, Kurt, Wolkowicz, Henry

“… In this paper we consider a certain QQP where the quadratic constraints correspond to the matrix orthogonality condition XXT…”
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Parameterization of computational domain in isogeometric analysis: Methods and comparison by Xu, Gang, Mourrain, Bernard, Duvigneau, Régis, Galligo, André

“… Then we show how to find good parameterization of computational domain by solving a constraint optimization problem, in which the constraint condition is the injectivity sufficient conditions…”
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Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques by Jiang, Yao-Lin, Xu, Kang-Li

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A Globally Optimal Bilinear Programming Approach to the Design of Approximate Hilbert Pairs of Orthonormal Wavelet Bases by Wang, Jiang, Zhang, Jian Qiu

“… The orthogonality and regularity conditions of the CQF bank pairs are taken as the constraints of such an optimization problem…”
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Relative Entropy-Based Constant-Envelope Beamforming for Target Detection in Large-Scale MIMO Radar With Low-Resoultion ADCs by Cheng, Ziyang, Wu, Linlong, Bowen, Wang, Xie, Julan, Li, Huiyong

“… We formulate our optimization problem by maximizing the relative entropy, subject to the constant envelope and orthogonality constraints…”
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