Search Results - quadratic minimization problems with orthogonality constraints

A Block Lanczos Method for Large-Scale Quadratic Minimization Problems with Orthogonality Constraints: A block Lanczos method for large-scale quadratic minimization problems with orthogonality constraints

Authors: Feng, Bo Wu, Gang

Source: SIAM Journal on Scientific Computing. 46:A884-A905

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, Large-scale problems in mathematical programming, Iterative numerical methods for linear systems, 0211 other engineering and technologies, 02 engineering and technology, Numerical Analysis (math.NA), Quadratic programming, block Krylov subspace, Nonconvex programming, global optimization, 01 natural sciences, quadratic minimization problems with orthogonality constraints, Numerical mathematical programming methods, QMPO, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, block Lanczos

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Access URL: http://arxiv.org/abs/2304.11886
https://zbmath.org/7820565
https://doi.org/10.1137/23m1568545

A block Lanczos method for large-scale quadratic minimization problems with orthogonality constraints

Authors: Feng, Bo Wu, Gang

Index Terms: Mathematics - Numerical Analysis, text

URL: http://arxiv.org/abs/2304.11886

A BLOCK LANCZOS METHOD FOR LARGE-SCALE QUADRATIC MINIMIZATION PROBLEMS WITH ORTHOGONALITY CONSTRAINTS.

Authors: BO FENG GANG WU

Source: SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 2, pA884-A905, 22p

Subject Terms: LANCZOS method, CUBES, KRYLOV subspace

A class of smooth exact penalty function methods for optimization problems with orthogonality constraints.

Authors: Xiao, Nachuan Liu, Xin Yuan, Ya-xiang

Source: Optimization Methods & Software; Aug2022, Vol. 37 Issue 4, p1205-1241, 37p

Subject Terms: CONVEX functions, PROBLEM solving

Implicit steepest descent algorithm for optimization with orthogonality constraints.

Authors: Oviedo, Harry

Source: Optimization Letters; Jul2022, Vol. 16 Issue 6, p1773-1797, 25p

PARALLELIZABLE ALGORITHMS FOR OPTIMIZATION PROBLEMS WITH ORTHOGONALITY CONSTRAINTS.

Authors: BIN GAO XIN LIU YA-XIANG YUAN

Source: SIAM Journal on Scientific Computing; 2019, Vol. 41 Issue 3, pA1949-A1983, 35p

Subject Terms: MATHEMATICAL optimization, LAGRANGIAN functions, LAGRANGE equations, CONSTRAINT algorithms, SCALABILITY, LOGITS

Effective Algorithms for Solving Trace Minimization Problem in Multivariate Statistics

Authors: Jiao-fen Li Ya-qiong Wen Xue-lin Zhou et al.

Source: Mathematical Problems in Engineering. 2020:1-24

Subject Terms: 1. No poverty, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

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Access URL: https://downloads.hindawi.com/journals/mpe/2020/3054764.pdf
http://downloads.hindawi.com/journals/mpe/2020/3054764.pdf
https://www.hindawi.com/journals/mpe/2020/3054764/
https://downloads.hindawi.com/journals/mpe/2020/3054764.pdf

AN AUGMENTED LAGRANGIAN METHOD FOR l1 -REGULARIZED OPTIMIZATION PROBLEMS WITH ORTHOGONALITY CONSTRAINTS.

Authors: WEIQIANG CHEN HUI JI YANFEI YOU

Source: SIAM Journal on Scientific Computing; 2016, Vol. 38 Issue 4, pB570-B592, 23p

Subject Terms: ORTHOGONAL functions, LAGRANGIAN functions, CALCULUS of variations, VARIATIONAL approach (Mathematics), FOURIER analysis

Implicit steepest descent algorithm for optimization with orthogonality constraints

Authors: Harry Oviedo

Source: Optimization Letters. 16:1773-1797

Subject Terms: 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Access URL: https://link.springer.com/article/10.1007/s11590-021-01801-5

A feasible method for optimization with orthogonality constraints.

Authors: Wen, Zaiwen Yin, Wotao

Source: Mathematical Programming. Dec2013, Vol. 142 Issue 1/2, p397-434. 38p.

Subject Terms: *MATHEMATICAL optimization, *ORTHOGONAL functions, *POLYNOMIALS, *HARMONIC functions, *FEASIBILITY studies, *INVARIANT subspaces, *EIGENVALUES

A NEW FIRST-ORDER ALGORITHMIC FRAMEWORK FOR OPTIMIZATION PROBLEMS WITH ORTHOGONALITY CONSTRAINTS.

Authors: BIN GAO XIN LIU XIAOJUN CHEN et al.

Source: SIAM Journal on Optimization; 2018, Vol. 28 Issue 1, p302-332, 31p

Subject Terms: FIRST-order logic, CONSTRAINT algorithms, MATHEMATICAL optimization, STIEFEL manifolds, EUCLIDEAN distance, ORTHOGONAL functions, CONSTRAINED optimization

A Penalty-Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold.

Authors: Liu, Xin Xiao, Nachuan Yuan, Ya-xiang

Source: Journal of Scientific Computing; May2024, Vol. 99 Issue 2, p1-29, 29p

Projected nonmonotone search methods for optimization with orthogonality constraints.

Authors: Dalmau Cedeño, Oscar Susano Oviedo Leon, Harry Fernando

Source: Computational & Applied Mathematics; Jul2018, Vol. 37 Issue 3, p3118-3144, 27p

Subject Terms: STIEFEL manifolds, CURVILINEAR coordinates, ORTHOGONALIZATION, STOCHASTIC convergence, MONOTONIC functions

STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS.

Authors: JIANG HU BO JIANG LIN LIN et al.

Source: SIAM Journal on Scientific Computing; 2019, Vol. 41 Issue 4, pA2239-A2269, 31p

Subject Terms: QUASI-Newton methods, FUNCTION spaces, ELECTRONIC structure

Quadratic minimization and least distance programming

Authors: Shariq, Syed Z.

Index Terms: Dissertation

URL: http://hdl.handle.net/10919/76210

Proximal Point Algorithm with Euclidean Distance on the Stiefel Manifold

Authors: Harry Oviedo

Source: Mathematics, Vol 11, Iss 11, p 2414 (2023)

Subject Terms: proximal point method, Stiefel manifold, orthogonality constraint, Riemannian optimization, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/11/11/2414; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/0d0a9f86bed246babb914595c92625e7

Moment inequalities for sums of random matrices and their applications in optimization.

Authors: So, Anthony

Source: Mathematical Programming; Oct2011, Vol. 130 Issue 1, p125-151, 27p

Distributed Pose Graph Optimization using the Splitting Method based on the Alternating Direction Method of Multipliers.

Authors: Ebrahimi, Zeinab Deghat, Mohammad

Source: Journal of Intelligent & Robotic Systems; Jun2025, Vol. 111 Issue 2, p1-12, 12p

A PRIMAL-DUAL PROJECTION ALGORITHM FOR EFFICIENT CONSTRAINT PRECONDITIONING.

Authors: SCHIELA, ANTON STÖCKLEIN, MATTHIAS WEISER, MARTIN

Source: SIAM Journal on Scientific Computing; 2021, Vol. 43 Issue 6, pA4095-A4120, 26p

Subject Terms: CONSTRAINT algorithms, CONJUGATE gradient methods, PARTIAL differential equations, LAGRANGE multiplier

Orthogonal nonnegative matrix factorization problems for clustering: A new formulation and a competitive algorithm.

Authors: Dehghanpour, Ja'far Mahdavi-Amiri, Nezam

Source: Annals of Operations Research; Aug2024, Vol. 339 Issue 3, p1481-1497, 17p

Subject Terms: MATRIX decomposition, NONNEGATIVE matrices, MATRIX exponential, NONLINEAR programming, QUADRATIC programming