Kearsley, A.
(2006),
A Matrix-Free Algorithm for the Large-Scale Constrained Trust-Region Subproblem, Optimization Methods and Software, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50695 (Accessed May 6, 2026)
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A Matrix-Free Algorithm for the Large-Scale Constrained Trust-Region Subproblem
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Author(s)
Abstract
A new matrix-free algorithm for the solution of linear inequality constrained, large-scale trust-region sub-problems is presented. The matrix-free nature of the algorithm eliminates the need for any matrix factorizations and only requires inner products between vectors and rows/columns of matrices. Numerical results that demonstrate the viability of the approach are included.Citation
Optimization Methods and Software
Volume
2
Pub Type
Journals
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Keywords
constrained quadratic optimization, lanczos method, regularization, trust region
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Created April 28, 2006, Updated February 17, 2017