Publications


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Codes used for authors:

No. Authors, Title. Journal where appearing, other information
27 Johannes Brust, Jennifer Erway and Roummel Marcia, Shape-changing trust-region methods using multipoint symmetric secant methods. Submitted for publication. 2022
26 Jennifer Erway and Mostafa Rezapour, A New Multipoint Symmetric Secant Method with a Dense Initial Matrix. Accepted to Optimization Methods and Software. 2021
25 Jennifer Erway, Joshua Griffin, Riadh Omheni, and Roummel Marcia, Trust-Region Algorithms for Training Responses: Machine Learning Methods Using Indefinite Hessian Approximations. Optimization Methods and Software, Volume 35, Number 3, pp 460-487 (2020).
24 Johannes Brust*, Oleg Burdakov, Jennifer Erway, and Roummel Marcia, A Dense initialization for limited-memory quasi-Newton methods, Computational Optimization and Applications, Volume 74, Number 1, pp 121--142 (2019).
23 Omar DeGuchy*, Jennifer Erway, and Roummel Marcia, Compact Representation of the full Broyden class of quasi-Newton updates. Numerical Linear Algebra with Applications, Volume 25, Issue 5, e2186 (2018).
22 Johannes Brust*, Oleg Burdakov, Jennifer Erway, and Roummel Marcia, Algorithm xxx: SC-SR1: MATLAB software for solving shape-changing L-SR1 trust-region subproblems. ACM Transactions on Mathematical Software, Volume 48, Issue 4 (2022), pp.1--33.
21 Lasith Adhikari*, Jennifer Erway, Roummel Marcia, and Robert Plemmons, Trust-region methods for nonconvex sparse recovery optimization. Proceedings of the 2016 International Symposium on Information Theory and Its Applications (ISITA), 2016.
20 Lasith Adhikari*, Jennifer Erway, Shelby Lockhart**, and Roummel Marcia, Limited-memory trust-region methods for sparse relaxation. Wavelets and Sparsity XVII, SPIE Optical Engineering + Applications, Volume 103940, 2017.
19 Jennifer Erway and Roummel Marcia, On solving large-scale limited-memory quasi-Newton equations. Linear Algebra and its Applications, Volume 515 (2017), pp. 196-225.
18 Johannes Brust*, Jennifer Erway, and Roummel Marcia, On solving L-SR1 trust-region subproblems. Computational Optimization and Applications, Volume 66, Issue 2, pp. 245-266, 2017.
17 Jennifer Erway and Roummel Marcia, On efficiently computing the eigenvalues of limited-memory quasi-Newton matrices. SIAM Journal on Matrix Analaysis and Applications, 36(3) (2015), p.1338-1359.
16 Jennifer Erway, Vibhor Jain**, and Roummel Marcia, Shifted limited-memory DFP systems, Proceedings of the Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, 2013.
15 Jennifer Erway and Roummel Marcia, MSS: MATLAB software for L-BFGS trust-region subproblems for large-scale optimization. ACM Transactions on Mathematical Software, Volume 40, Number 4 (June 2014), pp. 28:1-28:12.
14 Lasith Adhikari*,Jennifer Erway, and Roummel Marcia, Trust-region methods for nonconvex Poisson Intensity Recovery Optimization, in preparation.
13 Jennifer Erway, Roummel Marcia, and Jesse Patsolic*, Numerical experience with memoryless quasi-Newton trust-region methods, in preparation.
12 Jennifer Erway, Vibhor Jain**, and Roummel Marcia, Shifted L-BFGS systems. Optimization Methods and Software, Volume 29, Issue 5 (2014), pp. 992-1004.
11 Jiani Zhang*, Jennifer Erway, Xiaofei Hu, Qiang Zhang, and Robert Plemmons, Randomized SVD methods in hyperspectral imaging. Journal of Electrical and Computer Engineering, Vol 2012, Article ID 409357, 15 pages, 2012.
10 Jennifer Erway and Roummel Marcia, Solving limited-memory BFGS systems with generalized diagonal updates. Proceedings of the World Congress on Engineering 2012, London, UK.
9 Jennifer Erway and Roummel Marcia, Limited-memory BFGS systems with diagonal updates. Linear Algebra and its Applications, Volume 437, Issue 1 (2012), pp 333-344.
8 Jennifer Erway and Michael Holst, Barrier Methods for Critical Exponent Problems in Geometric Analysis and Mathematical Physics. [arXiv.math.NA/1107.0360]
7 Jennifer Erway, Roummel Marcia, and Joseph Tyson*, Generalized diagonal pivoting methods for tridiagonal systems without interchanges. IAENG International Journal of Applied Mathematics, Volume 40, Issue 4 (2010), pp. 269-275.
6 Jennifer Erway, Roummel Marcia, and Joseph Tyson*, On solving unsymmetric tridiagonal systems without interchanges. Proceedings of the World Congress on Engineering 2010, London, UK. (Best Paper Award)
5 Jennifer Erway and Philip Gill, Methods for large-scale optimization based on iterative solvers. In M. Heinkenschloss, R. H. Hoppe, and V. Schulz, editors, Numerical Techniques for Optimization Problems with PDE Constraints, Oberwolfach Reports, pages 28-31. European Mathematical Society Publishing House, Zurich, 2009.
4 Jennifer Erway and Roummel Marcia, A backward stability analysis of diagonal pivoting methods for solving unsymmetric tridiagonal systems without interchanges. Numerical Linear Algebra with Applications 18 (2011), pp. 41-54.
3 Jennifer Erway and Phillip Gill, A subspace minimization method for the trust-region step. (Formerly titled: Interior methods for finding a trust-region step.) SIAM Journal on Optimization, 20 (2009), pp.1439-1461.
2 Jennifer Erway and Phillip Gill, An interior-point subspace minimization method for the trust-region step. Report NA 08-1, Department of Mathematics, University of California, San Diego.
1 Jennifer Erway, Phillip Gill, and Joshua Griffin, Iterative methods for finding a trust-region step. SIAM Journal on Optimization, 20 (2009), pp.1110-1131.



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