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IEEE Transactions on Signal Processing, ISSN 1053-587X, 05/2017, Volume 65, Issue 10, pp. 2613 - 2628
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 06/2015, Volume 289, pp. 332 - 354
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2018, Volume 28, Issue 2, pp. 1205 - 1231
We introduce a quasi-Newton method with block updates called block BFGS. We show that this method, performed with inexact Armijo-Wolfe line searches, converges... 
Unconstrained optimization | Quasi-Newton methods | Block updates | BFGS | MATHEMATICS, APPLIED | quasi-Newton methods | LARGE-SCALE OPTIMIZATION | block updates | unconstrained optimization | GLOBAL CONVERGENCE
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 07/2017, Volume 47, pp. 811 - 825
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2019, Volume 361, pp. 645 - 660
This paper presents two modified Hager–Zhang (HZ) Conjugate Gradient methods for solving large-scale system of monotone nonlinear equations. The methods were... 
Eigenvalue analysis | Nonlinear equations | Global convergence | Hyperplane projection method | Monotonicity property | MATHEMATICS, APPLIED | CONVERGENCE PROPERTIES | BFGS METHOD | PERFORMANCE | PROJECTION METHOD | QUASI-NEWTON METHODS | OPTIMIZATION
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 01/2019, Volume 37, Issue 6, pp. 1 - 14
Elastic parameter optimization has revealed its importance in 3D modeling, virtual reality, and additive manufacturing in recent years. Unfortunately, it is... 
nonlinear elasticity | inexact method | quasistatic simulation | constrained optimization | heterogeneity | COMPUTER SCIENCE, SOFTWARE ENGINEERING | HYPERELASTIC PROPERTIES | QUASI-NEWTON METHODS
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2016, Volume 26, Issue 2, pp. 1008 - 1031
The question of how to incorporate curvature information into stochastic approximation methods is challenging. The direct application of classical quasi-Newton... 
Large scale optimization | Quasi-Newton | Stochastic optimization | Sub sampling | MATHEMATICS, APPLIED | large scale optimization | SUBGRADIENT METHODS | sub sampling | quasi-Newton | GRADIENT | stochastic optimization
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2016, Volume 276, pp. 394 - 406
We extend a class of quadrature-based predictor–corrector techniques for root-finding to multivariate systems. They are found to have a rate of convergence of... 
Quasi-Newton Method | Quadrature-based technique | Root-finding | Nonlinear systems | Noninteger convergence | MATHEMATICS, APPLIED | NEWTONS METHOD | NUMERICAL-SOLUTION | CONVERGENCE | ITERATIVE METHODS | VARIANT | Predictor-corrector methods | Linear systems | Equivalence | Computation | Dynamical systems | Standards | Convergence | Quadratures
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2015, Volume 25, Issue 3, pp. 1660 - 1685
This paper develops and analyzes a generalization of the Broyden class of quasi-Newton methods to the problem of minimizing a smooth objective function f on a... 
Broyden methods | Stiefel manifold | Quasi-Newton methods | Manifold optimization | Riemannian optimization | MATHEMATICS, APPLIED | quasi-Newton methods | manifold optimization | CONVERGENCE | MANIFOLDS | ALGORITHMS | RANK MATRIX COMPLETION
Journal Article
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, ISSN 0894-3370, 01/2019, Volume 32, Issue 1, pp. e2459 - n/a
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2017, Volume 27, Issue 2, pp. 927 - 956
Journal Article
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 9/2018, Volume 178, Issue 3, pp. 860 - 884
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 6/2019, Volume 79, Issue 3, pp. 1854 - 1881
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 06/2014, Volume 235, Issue 3, pp. 503 - 510
•A nonsmooth quasi-Newton algorithm is proposed for solving nonsmooth multiple objective programming.•A tractable subproblem is solved to obtain the descent... 
Pareto optimality | Critical point | Quasi-Newton methods | Multiobjective programming | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Algorithms | Mathematical optimization | Analysis | Methods | Operational research | Multiple objective | Descent | Convergence | Mathematical programming
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2020, Volume 369, p. 124829
The Perry nonlinear conjugate gradient method and scaled memoryless BFGS method are two quasi-Newton methods for unconstrained minimization. All convergence... 
Perry nonlinear conjugate gradient | Unconstrained optimization | Quasi-Newton method | Scaled memoryless BFGS | MATHEMATICS, APPLIED | ALGORITHMS | PARAMETER
Journal Article
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