A Riemannian L-BFGS method with adapted Cauchy-point bound handling outperforms classical interior-point and L-BFGS-B solvers on mixed manifold-plus-bounds problems by orders of magnitude.
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math.OC 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A limited-memory Riemannian BFGS algorithm optimizes the coefficient matrices of reduced-order models for linear systems with quadratic outputs to minimize H2 error while preserving stability via a product manifold.
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A Riemannian quasi-Newton algorithm for optimization with Euclidean bounds
A Riemannian L-BFGS method with adapted Cauchy-point bound handling outperforms classical interior-point and L-BFGS-B solvers on mixed manifold-plus-bounds problems by orders of magnitude.
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Riemannian optimal reduction for linear systems with quadratic outputs
A limited-memory Riemannian BFGS algorithm optimizes the coefficient matrices of reduced-order models for linear systems with quadratic outputs to minimize H2 error while preserving stability via a product manifold.